Answer:
67
Step-by-step explanation:
a+45=112
-45. -45
a=67
Hopes this helps please mark brainliest
Answer:
a = 67
Step-by-step explanation:
Given equation,
→ a + 45 = 112
Now the value of a will be,
→ a + 45 = 112
→ a = 112 - 45
→ [ a = 67 ]
Hence, the value of a is 67.
Which number line represents the solutions to |–2x| = 4?
(I want a clear explanation)
Answer:
third option
Step-by-step explanation:
| - 2x | = 4
the absolute value function always gives a positive value, however, the expression inside can be positive or negative , that is
- 2x = 4 ( divide both sides by - 2 )
x = - 2
or
- (- 2x) = 4
2x = 4 ( divide both sides by 2 )
x = 2
solutions are x = - 2 , x = 2
these are illustrated on the number line by solid circles at - 2 and 2
this is indicated on the third number line
Number line represents the solutions to |–2x| = 4 is third number line (x1 = -2, x2= 2).
Solving steps :
1. Calculate
Calculate the absolute value.
|-2x| = 4
Use |ab| = |a| * |b| to transform the expression.
|-2x|
|-2| * |x|
The absolute value of any number is always positive.
2 * |x|
We did it!
|-2x| = 4
2 * |x| = 4
2. Divide both sides
Divide both sides of the equation by 2.
2 * |x| = 4
2 * |x| ÷ 2 = 4 ÷ 2
Any expression divided by itself equals 1.
|x| = 4 ÷ 2
Calculate the quotient.
|x| = 2
3. Separate into possible cases
Use the absolute value definition to rewrite the absolute value equation as two separate equations.
|x| = 2
x = 2
x = -2
4. The equation has 2 solutions.
x1 = -2, x2= 2
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NO LINKS!! Describe the set of all points P(x, y) in a coordinate plane that satisfy the given condition. Part 2
Part (d)
If xy > 0, then the two items x and y must have the same sign.
Examples where x,y are both positive
x = 2 and y = 5 leads to xy = 2*5 = 10x = 7 and y = 4 leads to xy = 7*4 = 28Examples where x,y are both negative
x = -1 and y = -9 leads to xy = -1*(-9) = 9x = -12 and y = -3 leads to xy = -12*(-3) = 36This places us in either the first quadrant or third quadrant (Q1 and Q3)
Q1 is where x > 0 and y > 0 (northeast corner)Q3 is where x < 0 and y < 0 (southwest corner)Answer: The set of all points in quadrants I and III (x and y have the same sign)======================================================
Part (e)
If y < 0, then we have points like (2,-5) and (1,-7). The x coordinate doesn't matter as long as the y coordinate is negative.
Visually speaking we are below the x axis. This places the point in Q3, Q4, or on the negative y axis. The point cannot be on the x axis. You can think of this point as being underground or underwater.
Answer: The set of all points below the x axis======================================================
Part (f)
If x = 0, then the point is on the vertical y axis. Recall that y intercepts always occur when x = 0. Two examples would be (0,4) and (0,12).
Answer: The set of all points on the y axis.Answer:
(d) The set of all points in quadrants I and III (x and y have the same sign).
(e) The set of all points below the x-axis.
(f) The set of all points on the y-axis.
Step-by-step explanation:
The Cartesian plane is divided into four quadrants.
Quadrant I is the upper right quadrant and the rest follow in a counterclockwise direction.
Quadrant I: x > 0 and y > 0 → (x, y)Quadrant II: x < 0 and y > 0 → (-x, y)Quadrant III: x < 0 and y < 0 → (-x, -y)Quadrant IV: x > 0 and y < 0 → (x, -y)Part (d)
For xy > 0, x and y should either both be positive or both be negative, i.e. have the same sign.
x and y are both positive in quadrant I.x and y are both negative in quadrant III.Therefore, the description that satisfies the given condition is:
The set of all points in quadrants I and III (x and y have the same sign).Part (e)
For y < 0, y is always negative.
y is negative in quadrant III.y is negative in quadrant IV.Quadrants III and IV are below the x-axis.
Therefore, the description that satisfies the given condition is:
The set of all points below the x-axis.Part (f)
The only place where x = 0 is the y-axis.
Therefore, the description that satisfies the given condition is:
The set of all points on the y-axis.A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 13 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 4 insects will survive? Round your answer to four decimal places.
The probability that exactly 4 insects will survive is 0.8975
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, 0 indicates impossibility of the event and 1 indicates certainty.
probability= sample space/total possible outcome
the total possible outcome for the insecticide to kill insect is 60%
If 4 will survive out of 13, it means 7 will be killed by the insecticide, the percentage is now 7/13×100 = 53.85%
Therefore the probability for 4 insect to survive is 53.85/60= 0.8975
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IXL Please Help Fast!
In the given rectangular prism vector line IM and LM intersect each other. Option B is correct.
What is a rectangular prism?It is defined as a six-faced shape, a type of hexahedron in geometry. It is a three-dimensional shape. It is also called a cuboid.
Six faces, twelve sides, and eight vertices make up a rectangular prism (corners). Three of the 12 edges meet to create right angles at each vertex.
Since from all 12 edges vector line IM and LM meet to form right angles at each vertex.
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Thus, in the given rectangular prism vector line IM and LM intersect each other. Option B is correct.
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Please help I was sick and missed out on class.Thank you
Answer:
m = -5/3
Step-by-step explanation:
Slope is defined as the change in y / change in x or [tex]\frac{y2-y1}{x2-x1}[/tex]
The order of the points don't matter so we can do:
[tex]\frac{-1-(-6)}{5-8}=\frac{-5}{3}[/tex]
-5/3 is as simple as the fraction can be.
11. This table shows the items sold by an ice cream ship in the first hour after opening.
Cup 6
Cone 4
Milkshake 3
Sundae 1
What is the experimental probability that the next customer will order a cone?
Answer:
2:7 or [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
The cone total is 4 and the total orders is 14
[tex]\frac{4}{14}[/tex] = [tex]\frac{2}{7}[/tex]
An aircraft (at Z) is spotted by two observers (at X and Y) who are L = 1050 feet apart. As the
airplane passes over the line joining them, each observer takes a sighting of the angle
elevation to the plane, as indicated in the figure. If A = 30 degrees and B = 40 degrees how high is the
airplane?
If the angle elevation to the plane A = 30 degrees and B = 40 degrees , then the Airplane is 359.11 feet high .
In the question ,
it is given that
the distance between the two observer = 1050 feet
the measure of angle A is = 30°
the measure of angle B is = 40°
By angle sum property angle C is = 180 - (30 + 40)
= 180 - (70)
= 110
By Sine Law .
Sin(110)/1050 = Sin(30)/a = Sin(40)/b
Using , Sin(110)/1050 = Sin(30)/a ,
we get ,
Sin(110)/1050 = 0.5/a
a = 558.69
Using Sin(110)/1050 = Sin(40)/b
b = 718.24
By using Sine Law
Sin(40)/h = Sin(90)/558.69
h = 359.11
Therefore , If A = 30 degrees and B = 40 degrees , then the Airplane is 359.11 feet high .
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Question 1 4 pts Rhoda pays for Internet access each month. The graph shows the relationship between the total amount she has paid and the amount of time, in months. How can Rhoda show that the slope of the line is constant? What does a constant slope mean? Explain your reasoning.
By examining the slope at different points, we can see that the slope is constant.
What is a slope?The term slope has to do with a measure of how steep the line of best fit is for a relationship that exists between two variables. In this case, we are considering the relationship between the amount paid and the time taken.
A straight line graph is expected to have a constant slope. To show that the slope is constant, let us look at two points on the graph; (0, 0) (9, 675) and (0, 0) (7, 525)
In the first case;
m = [tex]y_{2} - y_{1} /x_{2} - x_{1}[/tex]
m = 675 - 0/9 - 0
m = 75
In the second case;
m = [tex]y_{2} - y_{1} /x_{2} - x_{1}[/tex]
m = 525 - 0/7 - 0
m = 75
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The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $5, sales will reach 7000 Fun Noodles per day during the summer. Raising the price to $6 will cause the sales to fall to 3000 Fun Noodles per day.
Assume that the relationship between sales price, x, and the number of Fun Noodles sold, y, is linear. Use ordered pairs of the form (sales price, number sold).
1. Write an equation in a slope-intercept form describing this relationship.
2. Predict the daily sales of Fun Noodles if the price is $5.50
1. The equation in a slope-intercept form describing the relationship is y = -4000x + 27000.
2. The daily sales of Fun Noodles at the price of $5.50 is 5000.
How to represent linear equation in slope intercept form?The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $5, sales will reach 7000 Fun Noodles per day during the summer. Raising the price to $6 will cause the sales to fall to 3000 Fun Noodles per day.
The relationship between sales price, x, and the number of Fun Noodles sold, y, is linear. The ordered pair are (5, 7000) and (6, 3000).
The equation in slope intercept form describing the relationship is as follows:
1. y = mx + b
where
m = slopeb = y-interceptTherefore,
m = 3000 - 7000 / 6 - 5
m = - 4000
Let's find the y-intercept using (6, 3000)
3000 = -4000(6) + b
3000 + 24000 = b
27000 = b
Hence, the equation is y = -4000x + 27000
2. The daily sales of Fun Noodles at the price of $5.50 can be computed as follows;
y = -4000(5.5) + 27000
y = -22000 + 27000
y = 5000
Therefore, the daily sales is 5000.
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Romeo applies a 300 N force on a 25 kg object. What is the acceleration of the object?
Answer: Force = 300 NewtonsMass = 25 kgAcceleration = Force / Mass = 300 Newtons / 25 kg = 12 metres / second^2.
Second law of Newton
Romeo applies a 300 N force on a 25 kg object. What is the acceleration of the object?Data:
m = 25kgF = 300NNewton's second law formula
F = m * a
We clear for acceleration
[tex]\boldsymbol{\sf{\dfrac{F}{m}=\dfrac{\not{m}*a}{\not{m}} \iff \ \dfrac{F}{m}=a \longmapsto \ a=\dfrac{F}{a} }}[/tex]
[tex]\boldsymbol{\sf{a=\dfrac{300 \ N}{25 \ kg} }}[/tex]
We know very well that to find the acceleration, we decompose N= Kg*m/s^2.
[tex]\boldsymbol{\sf{a=\dfrac{300 \not{kg}*\frac{m}{s^2} }{25 \not{kg}} }}[/tex]
[tex]\boldsymbol{\sf{a=12 \ \dfrac{m}{s^{2}} }}[/tex]
The acceleration of the object is 12 m/s^2.I need help solving this problem
Answer:
1/2
Step-by-step explanation:
u replace x with -3
=4(2)-³
=4(0.125)
=0.5
=1/2
Triangle CDE is dilated by a scale factor of 1/4 to form triangle C'D'E'. Side D'E' measures 3.5. What is the measure of Side DE?
If triangle CDE is dilated by a scale factor of 1/4 to form triangle C'D'E' , then measure of the side DE is 14.
In the question ,
it is given that ,
The triangle CDE is dilated by scale factor of 1/4
and the new triangle formed after dilation is C'D'E' .
it is given that the measure of the side D'E' = 3.5 .
let the measure of the the side DE = x
So , according to the question ,
x *(1/4) = 3.5
On cross multiplication,
we get ,
x = 4* 3.5
x = 14
Therefore , If triangle CDE is dilated by a scale factor of 1/4 to form triangle C'D'E' , then measure of the side DE is 14.
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A small welding shop employs four welders and one secretary. A workers' compensation insurance policy charges a
premium of $10.51 per $100 of gross wages for the welders and $1.33 per $100 of gross wages for the secretary. If each welder earns $33,000 per year, and the secretary earns $26,000 per year, what is the total annual premium for this insurance?
The total annual premium for this insurance will be $14,219.
Define premium.
An amount that the insured pays on a regular basis to the insurer to cover his risk is known as a premium. In terms of finance, a premium is the sum of the costs associated with an option or the distinction between the higher price paid for a fixed-income instrument and the relevant face amount. For many different insurance policies, including health, homeowner's, and rental insurance, premiums are typically paid. Automobile insurance is a typical example of an insurance premium.
Solution explained:
A/Q, as we calculate,
Annual Premium for one worker is = [tex]33000 X \frac{10.51}{100}[/tex] = $3468.3
Annual Premium for four workers is = 4 X 3468.3 = $13873.2
Annual Premium for the secretary is = 26000 X [tex]\frac{1.33}{100}[/tex] = 345.8
Therefore, the total annual premium for this insurance will be
= 13873.2 + 345.8 = 14219
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Is anyone able to solve this?
Answer:
2.4
Step-by-step explanation:
The bottom is a right triangle. You know the 2 legs, you need the hypotenuse.
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]1^{2}[/tex] + [tex]1^{2}[/tex] = [tex]c^{2}[/tex]
1 + 1 = [tex]c^{2}[/tex]
2 = [tex]c^{2}[/tex]
[tex]\sqrt{2}[/tex] = [tex]\sqrt{c^{2} }[/tex]
[tex]\sqrt2[/tex] = c
Now we know the 2 legs for the larger triangle on top.
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]\sqrt{2} ^{2}[/tex] + [tex]2^{2}[/tex] = [tex]c^{2}[/tex]
2 + 4 = [tex]c^{2}[/tex]
6 = [tex]c^{2}[/tex]
[tex]\sqrt{6}[/tex] = [tex]\sqrt{c^{2} }[/tex]
[tex]\sqrt{6}[/tex] = c
[tex]\sqrt{6}[/tex] rounded to the tenths place is 2.4
Suppose that the mean GRE score for the United States is 500 and the standard deviation is 75. Use the 68-95-99.7 (empirical) rule to determine the percentage of students likely to get a score below 275? Is a score below 275 significantly different from the mean
1) The percentage of students who will get a score below 275 is; 0.15%
2) Yes, any score below 275 is significantly different from the mean.
How to use the Empirical rule in statistics?
The empirical rule states that for a normal distribution, 68% of the distribution are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviations from the mean.
The formula for z-score is;
z = (x' - μ)/σ
where;
x' is sample mean
μ is population mean
σ is standard deviation
1) We are given;
Population mean; μ = 500
Sample mean; x' = 275
standard deviation; σ = 75
Thus;
z = (275 - 500)/75
z = -3
This is 3 standard deviations from the mean. Thus;
The percentage of students who will get a score below 275 is;
(100 - 99.7)/2 = 0.15%
2) Yes, any score below 275 is more than 3 standard deviations away from the mean and can be considered significantly different from the mean.
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What is the equation of the line that passes through the point
(
6
,
2
)
(6,2) and has a slope of
−
1
2
−
2
1
?
The equation of the line that passes through the point (-6, 2) and has slope of -1/2 is y = (-1/2)x - 1
The slope of the line = -1/2
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line
The slope intercept form
y = mx + b
Where m is the slope of the line
b is the y intercept form
The coordinates of the point = (-6, 2)
Substitute the values in the equation
2 = (-1/2)(-6) + b
2 = 3 +b
b = 2 -3
b = -1
The equation will be
y = (-1/2)x - 1
Hence, the equation of the line that passes through the point (-6, 2) and has slope of -1/2 is y = (-1/2)x - 1
The complete question is :
What is the equation of a line that passes through (-6, 2) and has a slope of -1/2 ?
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Express the sample proportion as a percent:
Out of 1150 insurance applicants, 837 have no citations on their driving record.
%
Express the trig ratio as fractions in simplest terms
The trigonometric ratio (trig ratio) for the angle in this right-angled triangle should be expressed as fractions in simplest terms as follows:
Sin(M) = 21/121
Cos(L) = 10/11
Tan(K) = 21/100
How to express the trig ratio as fractions?In Mathematics, a trigonometric ratio (trig ratio) can be calculated by using this mnemonic SOHCAHTOA:
Sinθ = Opposite/Hypotenuse
Sin(M) = KM/ML
Sin(M) = √21/11
Taking the square of both the numerator and denominator, we have:
Sin(M) = (√21)²/11²
Sin(M) = 21/121
For the cosine of an angle in a right-angled triangle, we have:
Cosθ = Adjacent/Hypotenuse
Cos(L) = KL/ML
Cos(L) = 10/11
For the tangent of an angle in a right-angled triangle, we have:
Tanθ = Opposite/Adjacent
Tan(K) = KM/KL
Tan(K) = √21/10
Taking the square of both the numerator and denominator, we have:
Tan(K) = (√21)²/10²
Tan(K) = 21/100
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You have 72 square feet of material to build a rectangular box.
The length is twice the width and there is no top.
What values for W and L and H will create a box that encloses the maximum volume using the material you have?
W = ?
L = ?
H = ?
For the given conditions, the length of box=6.92 feet, width of box=3.46 feet and height of box=2.31 feet.
What is volume?Each object in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's boundaries in three dimensions is referred to as its volume. It is also referred to as the object's capacity.
Here,
area of material=72 feet²
V=lbh
l=2b
72=lb+2lh+2bh
substitute l as 2b,
72=2b²+4bh+2bh
36=b²+3bh
3bh=36-b²
h=(36-b²)/3b
v=lbh
v=2b*b*(36-b²)/3b
v=2b*(36-b²)/3
=(72b-2b³)/3
differentiate the v,
v'=1/3(72-6b²)
v'=0
72-6b²=0
6b²=72
b²=12
b=√12
b=3.46 feet
l=2b=6.92 feet
h=(36-b²)/3b
=(36-12)/3*3.46
h=2.31 feet
The box measures 6.92 feet long, 3.46 feet wide, and 2.31 feet tall under the specified circumstances.
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Answer:
[tex]W=2\sqrt{3}=3.46\; \sf ft\;(2\;d.p.)[/tex]
[tex]L=4\sqrt{3}=6.93\; \sf ft\;(2\;d.p.)[/tex]
[tex]H = \dfrac{4\sqrt{3}}{3}=2.31\; \sf ft\;(2\;d.p.)[/tex]
Step-by-step explanation:
If the length is twice the width:
W = widthL = 2W = lengthH = heightSurface area of the box
[tex]\implies SA = WL + 2WH + 2LH[/tex]
[tex]\implies SA = W(2W) + 2WH + 2(2W)H[/tex]
[tex]\implies SA = 2W^2 + 2WH + 4WH[/tex]
[tex]\implies SA = 2W^2 + 6WH[/tex]
If the surface area is 72 ft²:
[tex]\implies 2W^2 + 6WH = 72[/tex]
[tex]\implies 6WH = 72 - 2W^2[/tex]
[tex]\implies H = \dfrac{72 - 2W^2}{6W}[/tex]
[tex]\implies H = \dfrac{36 - W^2}{3W}[/tex]
Volume of the box
[tex]\implies V = LWH[/tex]
[tex]\implies V = (2W)WH[/tex]
[tex]\implies V = 2W^2H[/tex]
Substitute the found expression for H into the formula for volume:
[tex]\implies V = 2W^2\left(\dfrac{36 - W^2}{3W}\right)[/tex]
[tex]\implies V = \dfrac{2W^2(36 - W^2)}{3W}[/tex]
[tex]\implies V = \dfrac{2W(36 - W^2)}{3}[/tex]
[tex]\implies V = \dfrac{72W - 2W^3}{3}[/tex]
[tex]\implies V =24W-\dfrac{2}{3}W^3}[/tex]
To find the value of W when the volume is at its maximum, first differentiate the equation for volume with respect to W:
[tex]\implies \dfrac{\text{d}V}{\text{d}W}=24-2W^2[/tex]
Now set the derivative to zero and solve for W:
[tex]\implies 24-2W^2=0[/tex]
[tex]\implies 2W^2=24[/tex]
[tex]\implies W^2=12[/tex]
[tex]\implies W=\sqrt{12}[/tex]
[tex]\implies W=2\sqrt{3}[/tex]
As length is twice the width:
[tex]\implies L=2 \cdot 2\sqrt{3}[/tex]
[tex]\implies L=4\sqrt{3}[/tex]
To find H, substitute the found value of W into the expression for H:
[tex]\implies H = \dfrac{36 - W^2}{3W}[/tex]
[tex]\implies H = \dfrac{36 - (2\sqrt{3})^2}{3(2\sqrt{3})}[/tex]
[tex]\implies H = \dfrac{36 - 12}{6\sqrt{3}}[/tex]
[tex]\implies H = \dfrac{24}{6\sqrt{3}}[/tex]
[tex]\implies H = \dfrac{4}{\sqrt{3}}[/tex]
[tex]\implies H = \dfrac{4\sqrt{3}}{3}[/tex]
Solve for x. Round to the nearest tenth, if necessary.
Answer:
27.64
Step-by-step explanation:
As the triangle is right-angle triangle,take another 29° and take sin29°You will get sin29°=x/57-- as(p/h)then x=57*sin29°=27.644.5 3.9 4.25 3.75 4.2 in lest to greatest
The order of least to greatest of given decimal numbers is 3.75, 3.9, 4.2, 4.25, 4.5.
The given decimal number are 4.5, 3.9, 4.25, 3.75, 4.2
What is the order of decimal numbers?Numerical order is a way of arranging a sequence of numbers. This could be in ascending or descending order.
Ascending order: Ascending order means to arrange numbers in increasing order, that is, from smallest to largest.
The order of decimal numbers
Now, least to greatest of decimal numbers is
3.75<3.9<4.2<4.25<4.5
Therefore, the order of least to greatest of given decimal numbers is 3.75, 3.9, 4.2, 4.25, 4.5.
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Bob's Gift Shop sold 500 cards for Mother's Day. One salesman, Camila, sold 10% of the cards sold for Mother's Day. How many cards did Camila sell? answer: 50
The number of cards Camila sold is 50cards
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”. For example if 10% of 200 students in a school are boys, the the number of boys in the school is 10/100× 200= 20students
Similarly Camila sold 10% of the card sold on mother's day. The number of cards sold on mother's day is 500.
Therefore Camila sold 10/100×500= 50cards
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Answer:
Step-by-step explanation:
Find the value of x.
( please help! Dude today!)
Answer: tell me the soulation like how do you solve it then I can help
Step-by-step explanation:
PLS HELP Me guys is for today plsssss I will give branlist who assert it first pls Emily wants to buy tomatoes and a loaf of bread. Tomatoes are $1.20 a pound, and a loaf
of bread is $2.00. If she spends $8.00 how many pounds of tomatoes can she buy.
a. Write an equation modeling the problem. Let x represent the number of pounds.
b. Solve the equation from part a and determine how many pounds of tomatoes Emily
can buy. Write your answer as a full sentence. Show your work.
Answer:
Below
Step-by-step explanation:
If she buys a loaf of bread she has only 6 dollars for tomatoes
$ 6 / 1.20 $/POUND = 5 POUNDS OF TOMATOES
(8-2) / 1.20 = # TOMATOES
(3x + 5y)^5
Rewrite the following expression in expanded form and simplify completely.
Answer: 243x^5 + 2025x^4y + 6750x^3y^2 + 11250x^2y^3 + 9375xy^4 + 3125y^5
Step-by-step explanation:
1. To find each term, use BINOMIAL EXPANSION THEOREM (best to look up theorem on your own).
2. Expand the summation (after finding each term).
3. Simplify the exponents for each term.
> 1 • (3x)^5 • (5y)^0 + 5 • (3x)^4 • (5y)^1 + . . . + 1 • (3x)^0 • (5y)^5
4. Simplify.
Need help with this problem please help
The error is that the student used the formula for a reflection in the x-axis, and the correct endpoints are: C'(1, 1) and D'(3, -2)
What is the error in finding the coordinates of the image after a rotation of 270?Rotation simply means turning.
In a cartesian plane, if a point P, whose position vector is (x,y), is rotated through 270° about the origin, the position of the image P' is (y, -x)
But the reflection in the x-axis is defined as (x,y) => (x, -y) i.e. if a position vector of a point is (x,y), the position vector of its image in the x-axis is (x, -y)
Given: C(-1, 1) and D'(2, 3)
Therefore, the student used the formula for a reflection in the x-axis. The 2nd option is the answer.
The correct endpoints are: C'(1, 1) and D'(3, -2)
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Jeremy bought a $60 pair of sneakers on sale for 15% off. Then, he used a coupon that gave him an additional 10% off. How much did Jeremy spend on the sneakers?
Answer:
45.90
Step-by-step explanation:
$60.00 15% off = $51.00
$51.00 10% off = 45.90
7x²(2x - 3) 3z3 + 4 in word form?
Answer:
seven multiplied by x to the second power multiplied by the difference of two multiplied by x subtract 3 multiplied by the product of three multiplied by z multiplied by 3 add four.
Step-by-step explanation:
This is a useless question, word form isn't in any sort of ACTUAL GLOBAL TEST. So don't stress over this.
A rectangular garden has an area of 72 square yards. The dimensions of the
garden are not prime numbers. What are the possible dimensions of the
garden
The possible dimensions of the rectangular garden with an area of 72 square yards are (4,18), (8,9), (6,12), (2,36)
What is meant by an area?The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.
Given,
The area of a rectangular garden is 72 square yards.
And also given that the dimensions of the garden are not prime numbers.
LCM of 72 is,
=2×2×2×3×3
Therefore, the possible dimensions of the garden are:
(4,18)
(8,9)
(6,12)
(2,36)
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Which of the following would be the numerator of the fraction
Answer:
The numerator is the top number of a fraction.
your welcome! <3
Answer:
Numerator is on the the top of the fraction
Step-by-step explanation:
x
_ x is the numerator
y