Given are the points A(0,1) and B(4,-7). Find an equation (the point-slope form is perfectly acceptable) of the perpendicular bisector of line segment AB

Answer:

Step-by-step explanation:

Find the slope of the given line using the coordinates of A and B.

The slope:

Find the midpoint of segment AB:

The perpendicular line has a slope of 1/2 ( opposite-reciprocal of -2) and passes through the point (2, -3).

The equation of this line is:

Slope-intercept form:

find the surface area - math test please help

Answer the following questions. Check all answers and don't forget to write units (i.e. $, inches, etc.)
Richie took his car into the shop and spent $625. The parts cost $205 and the mechanic's labor rate was
$60 per hour. How many hours did it take to fix Richie's car?

Stephanie and a chicken were trying to figure out the square root of 18 but they did not have a calculator or phone. Explain how they cause their knowledge of square roots to estimate what the answer might be? *

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On the graph, two right triangles have the line as the hypotenuse. In this task, you will use these triangles to show that the slope
between points E and A is the same as the slope between points A and C.

Part A
Which angles of the triangles measure 90°?

Part B
To show that the other two angle measurements in each triangle are equal, you can use parallel lines cut by a transversal.
Which two pairs of line segments formed by triangle sides are parallel, and what is the transversal for each pair?

Part C
Which angle has the same measurement as angle DEA, and how do you know that the measurement is the same?

Part D
Which angle has the same measurement as angle DAE and why (vertical, corresponding, alternate interior, or alternate exterior
angles)?

Part E
Are the two triangles congruent? Why or why not?

Part F
Are the two triangles similar? Why or why not?

Part G
Write a fraction setting the vertical length of the larger triangle over its horizontal length. What does this fraction represent?

Part H
Write a fraction setting the vertical length of the smaller triangle over its horizontal length. What does this fraction represent?

Part I
To see if the slopes are the same, write an equation setting the two fractions equal to each other. Is this equation true? Why or
why not? What does that mean about the slope between points E and A and the slope between the points A and C?

What are the x-intercepts for the graph of y=3(x-1)(x+6)?

2. Stephen Curry's record during the 2017 – 2018 NBA final game is made up of 2-point shots and 3-points.
His total points scored for the final game was 45 points with 19 shots made. How many 2-point shots did
he make? How many 3-point shots did he make?

Decomposition, find f(x) and g(x) so that the function can be

described as y = f(g(x))

y = (x – 4) + 5

f(x)=

g(x) =

MP.7 USE STRUCTURE Helen uses 0.12 kilogram of nuts in each batch of granola that she makes . If she makes 2.5 batches, how many kilograms of nuts will she use

A local employer asked for help selecting a new type of desk chair. Thirty employees volunteered, and each employee used the new desk chair for two weeks and the current desk chair for two weeks. To determine which chair was used first, a coin was flipped for each employee. Heads represented using the new chair first, and tails represented using the current chair first. At the end of each two-week period, the employees were asked to rate their satisfaction with the new chair. Which of the following best describes this study?

Solve the equations: x+2(x+1)+3(x+2)=4(x+3)​

What is the domain and range of a graph that stops at (-2,1) and has a HA of 3

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Jack and Danny both have a test average of 88 in Biology. Jack's standard deviation is 1.231 and
Danny's standard deviation is 8.632. Write a sentence describing the differences in Jack’s and Danny’s test scores.

Write an equation in slope-intercept form for the graph shown.
Slope-intercept form is: y = mx + b=

Find the slope: m =

Find the y-intercept: b =

Write the equation: y =

Mahni plans to spend the next 12 weeks saving some of her income. She will save $x a week for the first 6 weeks and then $(2x − 30) a week for the following 6 weeks. If she managed to save $213 in the first six weeks, how much did she save in total over 12 weeks? Explain correctly how to do this to get Brainliest ANSWER

jimmy sells cookies in bags of 1/2 dozen cookies for $4.50. If the cost varies directly to the number of cookies,which packaging and price is equivalent to jimmy's pricing

Which is an equation of the line that
passes through the point (5,-2) and has a
slope of.-3?
A y=-3x - 13
C y = 3x – 13
Dy=-3x + 13
B y = 3x + 13

Write the inequality shown by the graph.

pls help me I need this

Which value(s) is a solution for the inequality f<4?
CHOOSE ALL THAT APPLY:
f= -2
f=3
f=7
f= -4

An outfit is on sale for 25% off the original price. If the original price is $39.99, what is the sale price? ​

Find the range of the function y = - x2 -3x when the domain is -5,0,2

How can I find the area of this figure?​

Which division problem does the number line below best illustrate?

A number line going from 0 to 13. An arrow jumps from 0 to 3, from 3 to 6, from 6 to 9, and from 9 to 12.
12 divided by 3 = 4
9 divided by 3 = 3
12 divided by 2 = 6
16 divided by 4 = 4

5 out of 6 students baseball is their favorite sport what is the decimal equivalent for the number of students who choose baseball .

help me pls help mee

HELP ME ITS URGENT!!!!!!!!!!!!!!!!!!

5000×3000answer in standard form

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Subtract the complex numbers.
(1 + 51) – (7 +97) =

Determine if the following functions are linear, exponential or neither.

a. f(x)=−8(12)x


b. f(x)=7x3


c. f(x)=2⋅11x


d. f(x)=9x


e. f(x)=6x