Therefore the equation for the the graphed line's parallel, which also passes through (4, 1), is y = -2*x + 9
What is equation?Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the formulas 3x + 5 and 14 make up the equation 3x + 5 = 14, with the word "equal" between them.
Here,
If two lines have the same slope, they are considered to be parallel.
This will allow us to determine the equation for the line that is perpendicular to the graphed line and goes through the points (4, 1): y = -2*x + 9.
Let's try to locate the line as follows:
Finding the graphed line's slope is the first step towards locating the line.
Keep in mind that a generic statement is anything like:
y = a*x + b
where a represents the slope and b the y-intercept
If the line does indeed travel through the points (x1, y1) and (x2, y2), then the slope of that line can be expressed as follows:
[tex]m=\frac{y_{2}- y_{1}}{x_{2} -x_{1} }[/tex]
As seen below, the graphed line crosses (-3, 3) and (-2, 1). The slope will therefore be:
[tex]m=\frac{1- 3}{2 -(-3) }[/tex]
Since the parallel line's slope is likewise 2, it will look somewhat like this:
y = -2*x + c
Using the knowledge that this line passes through, we may determine the value of c. (4, 1).
Thus, y = 1 must exist when x = 4.
When we swap these out in the line equation, we get:
-2*4 + c = 1
-8 + c = 1
1 + 8 = c = 9
Therefore the equation for the the graphed line's parallel, which also passes through (4, 1), is y = -2*x + 9
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Tanvi Is attending a school orchestra concert. She sees her math teacher seated 5 m ahead of her and her science teacher seated 12 m to her right. How far apart are the 2 teachers
Answer:
The two teachers are 13 feet apart
Step-by-step explanation:
Right Triangles
Ava, her math teacher, and her science teacher form a right triangle in which she is at the 90° vertex.
The distances from the three people must satisfy the Pythagora's theorem, where the distance between the two teachers (D) is the hypotenuse, thus:
D = 13 feet
Step-by-step explanation:
PLEASE HELP 20 POINTS
Graph
A
B
C
D
it is the 1st graph.
Graph A.
A 4-ounce serving of applesauce has 70 Calories. Based on this rate, how many Calories are in 7 ounces of applesauce?
Answer:
122.5
Step-by-step explanation:
first you divide 70/4 =17.5 then you multiply 17.5 by 7 and get 122.5
Based on the given rate, which is 4-ounce serving of applesauce has 70 Calories the Calorie level of 7 ounces of applesauce is 122.5 calories
How to find the number of calories in 7 ounces of applesauceThe number of calories in 7 ounces of applesauce is solved by comparing the how many 4 ounce is in 7 ounce
The amount of 4 ounce in 7 ounce = 7 ounce / 4 ounce
The amount of 4 ounce in 7 ounce = 1.75 ounce
Then the equivalent amount of calories is solved by multiplication
The number of calories in 7 ounces of applesauce = 1.75 * 70 calories
= 122.5 calories
The number of calories in 7 ounces of applesauce is 122.5
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A glass holds 3/4 cup of milk. A jug
contains 12 cups of milk. How many
glasses can be filled from the milk in the jug?
Answer: 16 glasses of milk
Step-by-step explanation: To find how many glasses can be filled with milk, we must know that this is a division problem. So, we divide 12 by 3/4 to get 16. When dividing, the answer will be greater than the number it is being divided by, because the reciprocal will be found, and it will be greater when multiplied. I hope this helped. Please mark brainliest (If can)
If the perimeter of RSTU is 72 and RV = 16,
find RT and UV
A diagram is provided, on which R S T U's perimeter is 72 and R V's is 16, RT= 32 and UV ≈ 8.2.
How to find the perimeter calculation?A diagram is provided, on which R S T U's perimeter is 72 and R V's is 16.
Finding R T and U V is our goal.
First, let's assume that the figure RSTU is a rhombus since its perimeter and one-half of a diagonal's length are both provided. RT is the result of adding the segments RV and VT.
RT=RV + VT
We are informed that the RV is sixteen. If RV and VT are congruent, then V T equals 16. So:
R T = 16 + 16 = 32
In order to determine the UV length, we must first determine the RU length. Since a rhombus's sides are the same length, we can divide its perimeter by four to determine
RU= Perimeter/ 4
If we simplify and replace Perimeter with 72, we get:
RU = 72 / 4
RU =18
Since UB is a member of the right triangle RUV created by the intersection of the diagonals, we can now use the Pythagorean theorem to determine its length. So:
U V²+ R V² = RU²
If R V = 16 and R U = 18, we obtain:
U V² + 16 ²= 18²
By way of summary, we have:
U V² + 256 = 324
U V² + 256 − 256 = 324 − 256
√ UV = √ 68
UV = 8.2462
UV ≈ 8.2
Our recommendations are as follows:
RT= 32
UV ≈ 8.2.
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Solve the equation $32.001647(x-9.87)=31.999897(x-9.87)+0.000847.$ Enter your answer as an integer or decimal.
Solving the given equation, we calculate the value of x to be 10.369
What is equation?An equation is a mathematical statement that shows that two expressions are equal. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
What is simplification?Simplification is the process of reducing an expression or equation to its simplest form by applying the rules of algebra. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.
By isolating the variable x and using calculator, we find the answer = 10.369.
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HELP SO EASY!!!!!! ASAP
A polygon is said to be equilateral if all of its sides are the same length. Find the perimeter of the equilateral polygon whose vertices are as follows.
(−2,−4), (1,0), (1,5), (−2,9), (−7,9), (−10,5), (−10,0), (−7,−4)
The perimeter of the equilateral polygon with the given vertices is given as follows:
40 units.
How to obtain the perimeter of the polygon?The perimeter of a polygon is composed by the sum of the lengths of the outer edges of the figure.
From the figure given at the end of the answer, the parameters for the polygon with these given vertices are given as follows:
8 side lengths.Each side length is of 5 units. (as the polygon is equilateral, meaning that the side lengths are equal).Then, considering the 8 side lengths and the fact that they measure 5 inches, the perimeter of the polygon is given as follows:
Perimeter = 8 x 5 = 40 units.
(sum of 8 times the number 5 is equals to the multiplication of eight by five).
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If Sam had driven at an average speed of 100kph and the distance is 150km from Bari to Oria, how long would it have taken him?
21 divided by 72529 show your work
The answer will be in the picture provided below!
find the coordinates of the centroid of DEF with vertices (0,4) (6,6) (2,2)
The coordinates of the centroid of triangle DEF with the vertices (0,4) (6,6), and (2,2) is calculated as: (8/3, 4).
How to Find the Coordinates of the Centroid of a Triangle?The formula for finding the coordinates of the centroid of a triangle is given as:
C(x, y) = [tex]( \frac{(x1+x2+x3)}{3}, ( \frac{(y1+y2+y3)}{3})[/tex].
Given the vertices of triangle DEF as follows:
D (0, 4) = [tex](x_1, y_1)[/tex]
E (6, 6) = [tex](x_2, y_2)[/tex]
F (2, 2) = [tex](x_3, y_3)[/tex]
Substitute the values into the centroid formula to find the coordinates:
C(x, y) = [(0 + 6 + 2)/3, (4 + 6 + 2)/3]
C(x, y) = (8/3, 12/3)
C(x, y) = (8/3, 4)
Therefore, the centroid has the coordinates that are calculated as: (8/3, 4).
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Write the polynomial so that the powers of x are in descending order, -3x + 8x² - 11 +
9x³
Answer:
9x³+8x²-3x-11
Step-by-step explanation:
1. You can move sections around throughout the equation.
^Note: Be sure to keep the same signs (either positive or negative) for each section.
In this problem, the sections are (-3x), (8x²), (-11), and (9x³).
^Note: I kept the subtraction/negative sign
2. Rearrange the exponents in order from largest to smallest in the equation.
largest 9x³ +8x² -3x -11 smallest
^Note: -3x has an exponent of 1
Y==-2x+8 find x, if y is 16
Answer:
x = –4
Step-by-step explanation:
y = –2x + 8
16 = –2x + 8
2x = 8 – 16
2x = –8
x = –4
AB¯¯¯¯¯¯¯¯ with endpoints A(4,4) and B(5,−1) is reflected in the line y=x to create its image A′B′¯¯¯¯¯¯¯¯¯¯. Graph A′B′¯¯¯¯¯¯¯¯¯¯. Then find the perimeter of the figure formed by the segments AB¯¯¯¯¯¯¯¯, B′B¯¯¯¯¯¯¯¯¯, and AB′¯¯¯¯¯¯¯¯¯ to the nearest tenth.
The perimeter of the figure is 5.0.
What is a perimeter?
The perimeter of a two-dimensional shape is the distance around the outside of the shape. It is the sum of the lengths of all the sides of the shape. For example, the perimeter of a rectangle is the sum of the lengths of all four sides. The perimeter of a triangle is the sum of the lengths of all three sides.
To reflect a point across the line y=x, we can use the following formula:
(x', y') = (y, x)
Where (x', y') is the reflected point and (x, y) is the original point.
Using this formula, we can find the coordinates of the reflected points A' and B':
A' = (4, 4) -> (4, 4) -> (4, 4)
B' = (5, -1) -> (-1, 5) -> (-1, 5)
Therefore, the image of AB is A'B' with endpoints A'(4, 4) and B'(-1, 5).
To find the perimeter of the figure formed by the segments AB, B'B, and A'B', we can add up the lengths of these three segments. The length of AB can be found using the distance formula:
[tex]AB = \sqrt{((5-4)^2 + (-1-4)^2)}\\\\= \sqrt{(1^2 + (-5)^2)}\\\\= \sqrt{(1 + 25)}\\\\= \sqrt{26}[/tex]
The length of B'B can be found using the same formula:
[tex]B'B = \sqrt{((-1-(-1))^2 + (5-5)^2)}\\\\= \sqrt{(0^2 + 0^2)}\\\\= 0[/tex]
The length of A'B' can also be found using the distance formula:
[tex]A'B' = \sqrt{((-1-4)^2 + (5-4)^2)}\\\\= \sqrt{(-5)^2 + (1)^2}\\\\= \sqrt{25 + 1}\\\\= \sqrt{26}[/tex]
The perimeter of the figure is AB + B'B + A'B' = √26 + 0 + √26 = 2√26. To the nearest tenth, this is 5.0.
Hence, the perimeter of the figure is 5.0.
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a high school offers these statistics: 25% of incoming students come from single-parent homes. 75% of incoming students come from two parent homes. 42% of incoming students from single parent homes eventually go on to get a college education.58% of incoming students from two parent homes eventually go on to get a college education. what percent of incoming students eventually go on to get a college education? group of answer choices
Whereas students from single parent or two parent homes make up 54% of new students, these students eventually go on to complete their college studies..
what is percentage ?By dividing the value by the entire value and multiplying the result by 100, one can compute the percentage. The formula for calculating percentage is (value/total value)100%.When a piece of a whole is stated as a percentage, it is not a fraction but rather a number between 0 and 100. There are three percentages: 100% for everything, 50% for half of it, and 0% for the remaining portion.
calculation
25% of new students come from one-parent households, which equals 0.25;
75% of new students come from two-parent households, which is 0.75.
42% of incoming students from homes with only one parent go on to complete their college studies = 0. 42
58 percent of incoming students who come from two-parent households go on to complete their education =0.58
= 0.25 * 0.42 + 0.75 * 0.58 = 0.54 = 54%.
Whereas students from single parent or two parent homes make up 54% of new students, these students eventually go on to complete their college studies..
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Jay i trying to implify the following expreion 3x (3 12 divided by 3) -4. What hould be hi firt tep in olving thi problem
According to the BODMAS rule, the first step to solve the given expression is to solve the bracket.
What is BODMAS?Children can use the acronym BODMAS to help them remember the right order to carry out mathematical operations while solving problems.
B-Brackets, O-Orders (powers/exponents or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction are all abbreviated as BODMAS.
So, we have the expression: 3(3½ ÷ 3)-4
The next step would be according to the BODMAS rule.
In the BODMAS rule the letter B stand for brackets.
Hence, the first step will be to solve the bracket.
Therefore, according to the BODMAS rule, the first step to solve the given expression is to solve the bracket.
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A cricket 11 is to be chosen from 16 players of whom 7 are bowlers, 4 can keep the wicket. Number o
ways this can be done to contain exactly 5 bowlers, 2 wicketkeepers is
1) 945
2) 885
3) 630
4) 715
Answer:630
Step-by-step explanation:
We have to pick 11 players including 5 bowlers and 2 keepersThe number of ways in which we can choose 5 bowlers out of 7 are 7C5 = 7!/(5!*2!) =21The no. of ways in which 2 keepers can be selected out of 4 are 4C2 = 4!/(2!*2!) =6The number of ways to select remaining (11-5-2=) 4 players out of remaining (16-7-4=) 5 players are 5C4 = 5! /(4!*1!) = 5So, the total number of ways to select the team of 11 is 21 * 6 * 5 = 630What is the product of 10 and 6/sqrt(96) in simplest radical form?
Answer: √345600
Step-by-step explanation:
1st step: 10*6√96
2nd step: 60√96
3rd step:240√6
4th step (convert to radical form): √345600
there's your answer
One hose can fill a small swimming pool in 75 minutes. A larger hose can fill the pool in 50 minutes. How long will it take the two hoses to fill the pool working
together?
Do not do any rounding.
minutes
X
One hose can fill a small swimming pool in 75 minutes. Two hoses will fill the pool in 30 minutes when working together.
Given, the volume ( the space occupied by an solid object) per minute
Smaller hose fills the pool in 75 minutes. (1/75)
A larger one can fill the pool in 50 minutes. (1/50)
So, together they will fill = (1/ 75 ) + (1/50) , the lcm of 75 and 50 is 150
= (2/150) + (3/150)
= 5/150
= 1/30 or 30 minutes
So, we can say that the two hoses will fill the pool in 30 minutes when working together.
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The profit a company made descreased 20% to 66 million from one year to the next. What was the profit the year before?
Answer:
79.2Million?
Step-by-step explanation:
hope this helps
Formula: B1+B2=2(Midsegemt) Solve for X
2x-4+3x+2=2(2x+4)
if possible please explain/ show work!
thank you so so much!
The mid term is 2,Accordingly, if n is even, there will only be one middle term, and if n is odd, there will be two middle terms.
How does the Midsegment Theorem work?According to the midsegment theorem, the third side of a triangle is parallel to the first two sides, and the length of the third side's midsegment is equal to half of that side's length.The Binomial Expansion is in its middle term. We are aware that (a + b)n has an extension that has (n + 1) words. We can write the middle term(s) of (a + b)n depending on the value of n. Accordingly, if n is even, there will only be one middle term, and if n is odd, there will be two middle terms.Explanation:
2x - 4 + 3x + 2 = 2(2x+4)
The mid term is 2.
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how to write the equation of the line with m = –1 and Passes point (4, 5) in Slope –Intercept Form.
Hello,
The slope-intercept form of a linear equation is:
y = mx + b
where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.
To write the equation of the line with slope m = -1 that passes through the point (4, 5), you can use the point-slope form of a linear equation, which is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line. Plugging in the values, we get:
y - 5 = -1(x - 4)
This simplifies to:
y - 5 = -x + 4
Finally, we can rearrange the terms to put the equation in slope-intercept form:
y = -x + 9
This is the equation of the line with slope m = -1 that passes through the point (4, 5).
---
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Happy Holidays!
Rectangle jklm is similar to rectangle wxyz. What is the scale factor of a dilation from jklm to wxyz ? enter your answer as a decimal in the box.
WXYZ to JKLM
JM is equal to 9, ZW is 13.5, JK is 12, and WX is 18.
To obtain the coordinates of the other shape, multiply the original shape by the scale factor
What is the scale factor?
The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.
13.5 / 9 = 1.5
9 * 1.5 = 13.5 \s12 * 1.5 = 18
You have a scale factor of 1.5. (because if u multiply 1.5 by the original shape, u get the new shape)
JKLM ~ WXYZ
So JK ~ WX
So the scale factor = WX / JK
Scale Factor = 18 / 12 = 3 / 2 = 1.5
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For the sets A={1,3,5,7,9,11}, B={2,4,6,8,12} and C={5,10,15,20}, the set obtained of the operations A∩B∩C is
The A ∩ B ∩ C = {0}, if A = {1,3,5,7,9,11}, B = {2,4,6,8,12} and C = {5,10,15,20}.
What is set?Any group of objects (elements) in mathematics and logic, whether they are mathematical (such as numbers and functions), is referred to as a set.
Given:
Set A = {1,3,5,7,9,11},
B = {2,4,6,8,12},
C = {5,10,15,20}
Calculate the A ∩ B ∩ C by the formula given below,
A ∩ B ∩ C = {0}
As there is nothing common between sets A, B, and C.
Therefore, A ∩ B ∩ C = {0}.
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I need help with the statement and reason part. (Its ok if just one of the questions is answered.)
The triangles consist in rectangles ΔABD and ΔCDB are congruent triangles.
Given that,
To prove ΔABD ≅ ΔCDB.
In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Here,
consider ΔABD and ΔCDB
1. AB = CD [opposite sides of a rectangle]
2. ∠A = ∠C [each angle of the rectangle is 90°]
3. AD = BC [opposite sides of a rectangle]
ΔABD ≅ ΔCDB
Thus, Both triangles ΔABD ≅ ΔCDB are congruent triangles, hence proved.
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what is the answer i need them now I will give brainliest if correct
Answer:
5 6/7 or C option
Step-by-step explanation:
5 6/7 is equal to 5.857 and rounded it is 6
While all the others round to 5
Hopes this helps please mark brainliest
12, 18,27,...
Find the 8th term.
Check the picture below.
Answer:
205.03125
Step-by-step explanation:
You want the 8th term of the sequence that begins 12, 18, 27, ....
DifferencesThe first differences of the given terms are ...
18 -12 = 6
27 -18 = 9
These are not constant, so the sequence is not an arithmetic sequence.
RatiosThe ratios of sequential terms are ...
18/12 = 1.5
27/8 = 1.5
These are constant, suggesting the sequence is an exponential sequence. The equation for the n-th term is ...
an = 12(1.5^(n-1))
Then the 8th term is ...
a8 = 12(1.5^7) = 205.03125
__
Additional comment
The sequence could be quadratic if the second differences are all 9-6=3. In that case, the equation for the n-th term is ...
an = 1.5n(n +1) +9
and the 8th term is ...
a8 = 1.5·8(8+1) +9 = 117
<95141404393>
Multiplying and Dividing Integers MC) What is the product of (−16)(−4)(−24)? −40 −44 −1,536 −448
The required product of the given product numeral is -1536. Option C is correct.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
= (−16)(−4)(−24)
= 64(-24)
= -1536
Thus, the required product of the given product numeral is -1536. Option C is correct.
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answer my question what is the ?
Answer:
18
Step-by-step explanation:
for the first one, 2(5+1)+10=22
for the second one, 2(6+4)+10=30
using the same concept, 2(3+1)+10=18
?=18
im not sure if im right or not lol
f(x)=−x−4, find f(-2)
By evaluating the function in x = -2, we will get:
f(-2) = -2
How to find f(-2)?To do that, we need to evaluate the given linear equation:
f(x) = -x - 4
We want to find f(-2), so we need to evaluate the linear equation in x = -2, this means that we just need to replace the variable by the corresponding number.
Then we will get:
f(-2) = -(-2) - 4
f(-2) = +2 - 4
f(-2) = -2
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Clark made a model of his house. his house was 30 1/2 feet long. The dimensions of the model were 1/25 the dimension of Clark's actual home. what is the length, in feet, of the model.
1.22ft is the length, in feet, of the model.
What is arithmetic?
Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, involution, and extraction of roots.
Main Body:
Length of Clark house = 30.5 ft
Dimensions of the model were 1/25 the dimension of Clark's actual home.
so , we can write as -
Write and solve an equation of ratios:
1 x
---- = ----------
25 30.5 ft
Then 30.5 ft = 25 x, and x = 1.22 ft, or 14.64 inches.
Hence 1.22ft is the length, in feet, of the model.
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