Answer:
y = 1/2x - 3.5
Step-by-step explanation:
so lets start by finding the equation of the line AB
we know the y-intercept is 4 from the point 0,4 so we know it'll look something like this
y = mx + 4 and we can plug in the other point we know -> 0 = m(-2) + 4 -> 4 = m(-2) -> m = -2 so the full equation of the line is y = -2x + 4
ok now we can find the other line. we know that perpendicular lines have an opposire reciprocal slope so in this case -2 would turn into 1/2
y = 1/2x + b
now lets plug in point C
-1 = (1/2)(5) + b
-1 - (2.5) = b
-3.5 = b
so the equation is y = 1/2x - 3.5
Answer:
[tex]y=-\dfrac12 x + \dfrac32[/tex]
Step-by-step explanation:
Equation of line AB:
Let A = [tex](x_1,y_1)[/tex] = (-2, 0)
Let B = [tex](x_2, y_2)[/tex] = (0, 4)
Use equation of slope to find slope m:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4 -0}{0+2}=2[/tex]
Use point-slope form for linear equation:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]\implies y-0=2(x+2)[/tex]
[tex]\implies y =2x+4[/tex]
Equation of line passing through C
If the line that passes through C is perpendicular to AB, then their slopes will be opposite reciprocals of each other.
⇒ [tex]m=\dfrac{-1}{2}=-\dfrac12[/tex]
Use point-slope form for linear equation and [tex](x_1,y_1)[/tex] is point C:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]\implies y+1=-\dfrac12 (x-5)[/tex]
[tex]\implies y=-\dfrac12 x + \dfrac32[/tex]
Can I have some help?
But needs to be shown with work!
Answer:
9) y=(-6-3x)/2 10) y=(2x+15)/3 11) y=8+4x
12) y=1/2x+6 13) y= (8-3x)/-4 14) y= (10-6x)/-2
Step-by-step explanation:
The methods I used are known as float and ping, and escalator:
9) We can float the 3x to the other side to make
2y=-6-3x
We now escalate the 2 down to make:
y= [tex]\frac{-6-3x}{2}[/tex]
10) We simply escalate the 3 down to give:
y= [tex]\frac{2x+15}{3}[/tex]
11) We simply float the -4x to the other side:
y=8+4x
12) For this question, it will be better to expand the bracket first:
y-8=-1/2x-2
Now we float the -8 to the other side to give:
y=-1/2x-2+8
Which can be simplified to give:
y=1/2x+6
13) We simply float the 3x to the other side to give:
-4y=8-3x
Now we escalate the -4 down to give:
y= [tex]\frac{(8-3x)}{-4}[/tex]
14) We float the 6x to the other side to give:
-2y=10-6x
Now we escalate the -2 down to give:
y= [tex]\frac{10-6x}{-2}[/tex]
Evaluate the expression for w = 3.1 and x = 13.7.
Write your answer as a decimal or whole number,
WX – 11
Answer:
31.47
Step-by-step explanation:
WX - 11
3.1 x 13.7 - 11
42.47 -11
=31.47
Hi!
I can help you with joy!
All we have to do here is plug in the numbers.
wx-11
(3.1)(13.7)-11
Multiply:
42.47-11
Subtract:
31.47 (Answer)
I hope this helps!
Ask me if you have any questions.
~Misty~
-[tex]\bf{Silent~[/tex]-
29-{-36-(-27-31)+40}
Answer:
-33
Explanation:
29-(-36-(-27-31)+40)=
29-(-36-(-56)+40)=
29-(-36+58+40)=
29-62=-33
Choose the correct simplification and demonstration of the closure property given: (3x3 2x2 − 5x) − (8x3 − 2x2). 5x3 2x2 5x; is a polynomial 5x3 2x2 5x; may or may not be a polynomial −5x3 4x2 − 5x; is a polynomial −5x3 4x2 − 5x; may or may not be a polynomial.
The resultant polynomial which is the correct simplification and demonstration of the closure property of give expression is,
[tex]-5x^3 +4x^2- 5x[/tex]
This resultant expression is polynomial.
What is polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
The given expression in the problem is,
[tex](3x^3 +2x^2 - 5x) - (8x^3 - 2x^2).[/tex]
Let the resultant polynomial of the above expression is f(x). Therefore,
[tex]f(x)=(3x^3 +2x^2 - 5x) - (8x^3 - 2x^2).[/tex]
To solve the above polynomial, open the bracket by multiplying the sign with inside values as,
[tex]3x^3 +2x^2 - 5x - 8x^3 +2x^2[/tex]
Separate the same power terms of the variables as,
[tex]f(x)=3x^3- 8x^3 +2x^2 +2x^2- 5x\\f(x)=-5x^3 +4x^2- 5x[/tex]
The resultant polynomial which is the correct simplification and demonstration of the closure property of give expression is,
[tex]-5x^3 +4x^2- 5x[/tex]
This resultant expression is polynomial.
Learn more about polynomial here;
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What value of y makes this true? 12+y>17
Answer:
5 if the value of y become 5 it makes this true
Hi! Let's solve this inequality!
Move 12 to the right side, using the opposite operation.
y>17-12
y>5
Thus, any value of y greater than 5 will make this inequality true.
Let's try 6, since 6 is greater than 5.
12+6>17
18>17
Yeah, it worked :)
Thus, any value of y greater than 5 will make this inequality true.
Hope it helps!
Enjoy your day!
Please feel free to ask if you have any doubts.
[tex]\bf{M^a^g^i^c^a^l[/tex]
help !! i will give brainliest
Answer:
The y intercept should be 9 and the graph is incorrect.
On the interval , at which x-value is the average rate of change 56?.
On the interval {x, 7} , the x-value at which the average rate of change is 56, is 4 and 7.
How to read the data from the table?Table is a way to represent the data of the two or more variable.
To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.
The table of the given x value is,
x 3, 4, 5, 6, 7
f(x) 12, 24, 28, 96, 192
The average rate of change of value is the ratio of overall change of function output value to the input value.
For the input values of 4 and 7 let's find the average rate of change,
[tex]r=\dfrac{192-24}{7-4}\\r=\dfrac{168}{3}\\r=56[/tex]
Hence, on the interval {x, 7} , the x-value at which the average rate of change is 56, is 4 and 7.
Learn more about the data table here;
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Answer:
4
x-value is the average rate of change 56
I WILL REPORT IF IT'S A LINK
Answer:
a) There will be approximately a water depth of 7.5 meters after 3h
b) Approximately 2.5 hours have passed when there is 8 m of water in the tank.
Step-by-step explanation:
a) Look for the y-value when the x-value is 3.
b) Look for the x-value when the y-value is 8.
*The y-axis is the depth (m), and the x-axis is the time (h).
A.(3,7) is a solution to the linear system.
B.(3,7) is Not a Solution to the linear system.
Answer:
y = 2x + 1 --> linear
y = -4x + 7 --> non-linear
Not a solution for a linear system.
Step-by-step explanation:
for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:
7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.
for (b), we have to substitute our values again. You get:
7 = -4x3 + 7, which is
7 = -12+7, which is not true. So, (b) is not linear.
This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.
Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh? WHICH ANSWER IS CORRECT
x+3=14
3x=14
x=14−3
x=143
Answer:
[tex]x = 14 - 3[/tex]
Step-by-step explanation:
*The key word 'less than' means to subtract.
x + 3 = 14 is incorrect. Kiran isn't adding weight to his backpack.
In other words, the backpack didn't increase in pounds.
3(x) = 14 is incorrect. Multiplying is irrelevant to this problem, it's not saying Kiran's backpack is 3 times a number equal to Clare's backpack weight.
x = 143 is incorrect. This equation is unrealistic.
x = 14 - 3 is correct. This equation is explaining that Kiran's backpack is 3 pounds less than Clare's backpack (14)
Find a prime factorization or 36 and 45
Answer:
With exponents:
36 = 3² * 2²45 = 5 * 3²Without exponents
36 = 3 * 3 * 2 * 245 = 5 * 3 * 3Step-by-step explanation:
Factorization of 36:
363 * 123 * 3 * 43 * 3 * 2 * 23² * 2²Factorization of 45:
455 * 95 * 3 * 35 * 3²-Chetan K
Answer:
The Prime factorization of 36 and 45 is 3²
Solution :36 = 2 × 2 × 3 × 3
= 2² × 3²
45 = 3 × 3 × 5
= 3² × 5
Prime Factorization = 3²
____________________
In ∆ABC, if <A = 55° and <B = 65°, then = <C=
<A+<B+<C=180(sum of triangle)
55+65+<C=180
120+<C=180
<C=60
The probability that a particular salesman will leave his sunglasses behind in any store is 1/5. Suppose the salesman visits two stores in succession and leaves his sunglasses behind in one of them. What is the probability that the salesman left his sunglasses in the first store?
Probabilities are used to determine the chances of events
The probability that the salesman left his sunglasses in the first store is 0.16
How to calculate the probabilityThe given parameter is:
p = 1/5 ---- the probability that he left his sunglass
The probability that he did not leave his sunglass would be:
q= 1- 1/5
Evaluate the difference:
p = 4/5
So, the probability that the salesman left his sunglasses in the first store is:
Pr = 1/5 * 4/5
Evaluate the product
Pr = 4/25
Express as decimal
Pr = 0.16
Hence, the probability that the salesman left his sunglasses in the first store is 0.16
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11.94-6.99 divided by .55
6) Find the area of each polygon
Let's find sides one by one
[tex]\\ \tt\hookrightarrow a^2=2^2+3^2=4+9=13\implies a=\sqrt{13}=3.2[/tex]
[tex]\\ \tt\hookrightarrow b=\sqrt{2^2+4^2}=\sqrt{20}=4.2[/tex]
[tex]\\ \tt\hookrightarrow x=\sqrt{1^2+4^2}=\sqrt{17}=4.1[/tex]
Now
[tex]\\ \tt\hookrightarrow s=\dfrac{4.2+4.1+3.2}{2}=5.7[/tex]
Apply herons formula
Area
[tex]\\ \tt\hookrightarrow \sqrt{5.7(5.7-3.2)(5.7-4.1)(5.7-4.2)}=\sqrt{5.7(2.5)(1.6)(1.5)}=5.84units^2[/tex]
Jeremy is building a birdhouse that is a scale model of his own house. If his house is 16 feet tall, and he wants to build his birdhouse 24 inches tall, what scale should he use?
Answer: 3:2 is the scale he should use
Step-by-step explanation: You simplify 24/16 by the GCF (greatest common factor) The GCF of 24 and 16 is 8 so [tex]\frac{24}{16}[/tex] ÷ [tex]\frac{8}{8}[/tex] = [tex]\frac{3}{2}[/tex]. 3/2 could also be written as a scale or ratio which is 3:2.
please help me find the lateral surface area of this
Answer:
96cm
Step-by-step explanation:
help me with proofs please
Answer:
D. Subtraction Property of Equality
Step-by-step explanation:
D. Subtraction Property of Equality
From 6-7, you subtract 132 from both sides. You can only do this because of the subtraction property of equality which essentially means that if you subtract something from one side of the equation, you also have to subtract it from the other side. In this case, you subtract 132 from both sides, therefore it is D.
Please I need help with this problem
Step-by-step explanation:
First problem looks right. Although he started with 145, not 25. Savings and checking combined is the total amount of cash he had before he started working, which is why it's added to the total amount of money he has.
He saves 55 every week. because the multiplier on w, which is weeks is 55. So for every week 55 is added to the multiplication. Ex 2 weeks is 110, 3 is 165, 4 is 220 etc..
He wanted a total of 650 usd. Doesn't matter where it is the total is what matters. Doesn't matetr if hes spending, storing or even burning the money..
So first make 55w+145=650 then solve
Minus 145 from both sides
55w = 505
About 9 weeks one day and 6 hours. This is a rough estimate since the answer is 9.18181818 weeks.
PLEASE HELP ME WITH THIS ASAP AND SHOW WORK PLEASE
A: f(x)=8x-2
1. Switch the f(x) to y
y=8x-2
2. Switch y to x and x to y
x=8y-2
3. Solve for y:
------------------------------
1. Add 2 to both sides.
x=8y-2
+2 +2
2. Divide both sides by 8.
x+2=8y
--- ---
8 8
1/8x+1/4=y
3. Write in f-inverse form
f^-1(x)=1/8x+1/4
B: g(x)=2/3x+6
1. Switch the g(x) to y
y=2/3x+6
2. Switch y to x and x to y
x=2/3y+6
3. Solve for y:
------------------------------
1. Subtract 6 from both sides.
x=2/3y+6
-6 -6
2. Multiply both sides by 3/2 (to cancel out the 2/3)
x-6=2/3y
2/3x-4=y
3. Write in f-inverse form
g^1(x)=2/3x-4
C: h(x)-4x-12
1. Switch the h(x) to y
y=-4x-12
2. Switch y to x and x to y
x=-4y-12
3. Solve for y:
------------------------------
1. Add 12 to both sides.
x=-4y-12
+12 +12
2. Divide both sides by -4
x+12=-4y
------ ---
-4 -4
-1/4x-3=y
3. Write in h-inverse form
h^2(x)=-1/4/x-3
pls help! solve for x
Answer:
21
Step-by-step explanation:
On the left side, 2 multiply by 3 is 6. So you can do the same thing to the right side. 7 multiply by 3 is 21.
Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given roots.
X=-1 X=7
Answer:
If P(x) has the roots -11 and 6, then its multipliers can be written as
Step-by-step explanation:
P(x)=(x+11)(x-6)
P(x)=x2-6x+11x-66
P(x) = x2+5x-66
Finding angles , please help
Answer:
m∠C = 43.6°, m∠B = 107.4°, b = 51.2Step-by-step explanation:
Use the law of sines:
a / sin ∠A = c / sin ∠C26 / sin 29° = 37 / sin ∠Csin ∠C = 37 sin 29° / 26sin ∠C = 0.6899m∠C = arcsin 0.6899m∠C = 43.6°Find the missing angle:
m∠B = 180° - 29° - 43.6° = 107.4° (rounded)Use the law of sines to find the length of b:
a / sin ∠A = b / sin ∠B26 / sin 29° = b / sin 107.4°b = 26 sin 107.4° / sin 29°b = 51.2 units (rounded)find the radius of cylinder with a volume of 108pi ft3 and height of 12 ft
The volume of a cylinder is the amount of space in it
The radius of the cylinder is 3 feet
How to calculate the radiusThe volume of a cylinder is:
[tex]V = \pi r^2 h[/tex]
Where r represents the radius, and h represents the height
So, we have:
[tex]108\pi = \pi r^2 * 12[/tex]
Divide both sides by 12pi
[tex]9 = r^2[/tex]
Take the square roots of both sides
3 = r
Rewrite as:
r = 3
Hence, the radius of the cylinder is 3 feet
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:>) The senior class at Wildgrove High School is graduating. The number of students
receiving diplomas dictates the duration of the graduation ceremony.
)) s = the number of students receiving diplomas
d = the duration of the graduation ceremony
=
)) Which of the variables is independent and which is dependent?
1)
s is the independent variable and d is the dependent
variable
d is the independent variable and s is the dependent
variable
Submit
Answer:
s is the independent variable and d is the dependent variable.
Step-by-step explanation:
--------- :)
if a hexagon is worth 5 and a triangle is worth 3, what is circle?
Answer:
A circle has a worth of 0. If your talking about the corners.
The perimeter of a rectangular roof shingle is 46 inches. It is 13 inches long. How wide is it?
inches
(Help please)
Answer:
8.5 in
Step-by-step explanation:
step 1
to find the width, the equation would be:
P/2-L
step 2-plug in
43/2-13=
8.5
Answer:
Step-by-step explanation: 10 + 10 = 20
46 - 20 = 26
26 divided by 2 = 13
can you help me solve A=p+prt for R
Answer:
[tex]r=\frac{a-p}{pt}[/tex]
Step-by-step explanation:
Solve [tex]a=p+prt:[/tex]
[tex]r=\frac{a-p}{pt}[/tex]
A right triangle is shown with a base of 6 cm and a height of 14 cm, what is the area in square cm of the right triangle
Answer:
42 square cm
Step-by-step explanation:
6 x 14 = 84. 84 divided by 2 = 42.
a = b x h divided by 2
Please I am begging!!!
A point on a pre-image is currently located at (1, -3). The pre-image is translated 3 units right and 6 units up.
What are the NEW coordinates for the point after the translation? Use graph paper to sketch the translation if needed.
A.) (3, 4)
B.) (4, 3)
C.) (7, 0)
D.) (-2, 2)
Answer:
4,3
Step-by-step explanation:
1 plus 3 equals 4.
-3 plus 6 equals 3.