The line segment between (9,6) and (-2,-1) is bisected at (3.5,2.5). Find the y-intercept of the perpendicular bisector.

Ans: y-intercept = (0, _____)

Answers

Answer 1

Answer:

Y-intercept is (0,8)

Step-by-step explanation:

Firstly, we need to get the equation of the line segment

We have the general equation as;

y = mx + b

m is the slope and b is the y-intercept

So for the slope between (9,6) and (-2,-1); we have

m = (y2-y1)/(x2-x1)

m = (-1-6)/(-2-9) = -7/-11 = 7/11

Mathematically, when two lines are perpendicular, their slopes have a product of -1

Let the slope of the second line be m

m * 7/11 = -1

7m = -11

m = -11/7

The equation of the second line is;

y = mx + b

y = -11x/7 + b

The line passes through the point (3.5,2.5)

So,

2.5 = -11/7(3.5) + b

2.5 = -5.5 + b

b = 2.5 + 5.5

b = 8

so the y-intercept of the perpendicular bisector is 8


Related Questions

Can someone please help me with math.

Answers

Answer:

6. B

7. D

Step-by-step explanation:

[tex]\sqrt{4}[/tex] = 2

Point A Before: ( 1 , 3 )

1 - 4 = -3

3 - 2 = 1

( -3 , 1 )

hope this helps

solve for y
2y-13=11

Answers

Answer:

y = 12

Step-by-step explanation:

2y - 13 = 11

add

2y = 24

divide

y = 12

2y   -   13   =   11

        + 13    + 13

-----------------------

2y   =  24

/2        /2

-----------------------

y      =  12

What is the area of the triangle?
24
7
25
units 2. Help me please

Answers

Answer:

area of triangle=1/2×base×height

area of triangle=1/2×24×7

area of triangle=84unit²

❗❗❗❗After the February phase of the revolution, what major mistake did the new provisional government make that would make it more susceptible to being overthrown?
ASAP Giving you 100 points ❗❗❗❗

Answers

Answer: c

Step-by-step explanation:

Answer:

again, did some reading, they make note of continuing battle to support Serbia. I saw nothing of Japan. so my calculated guess would be the 2nd one. to continue in battle even with heavy casualties

Step-by-step explanation:

doesn't mean I'm right though.

Can someone help me on this plzzz

Answers

sub in the number
10(6)-3
=60-3
=57

Fill in the blank with the equation of the line shown for each representation below (y = mx + b). **Pay attention to the scale on the x and y axes!

Answers

Answer: y=-3/4x+2

Step-by-step explanation:

Use rise over run, which is a method you use to find the slope. you find out how much the y value has changed over x.

Take the two points in the graph, (0, 2) and (4, -1). then you want to find the difference in the x and y.

X: 0 - 4 = -4

Y: 2 - (-1) = 3

Then do the equation y/x.

3/-4 = -3/4

That's the slope. Now locate the point at x=0.

The point is already given (0, 2). This is the y-intercept.

Plug in the slope and y-intercept into y=mx+b.

y=-3/4x+2

How do I solve x squared 3 + 4 when x = 6

Answers

Answer:

Step-by-step explanation:

3 + 4 x = 6

Plot:

Plot

Alternate forms:

4 x = 3

4 x - 3 = 0

Number line:

Number line

Solution:

x = 3/4

Which of the following is the correct value of x?
A. 62
B. 31
C. 118
D. 56

Answers

Answer:

31°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180° we can calculate the measure of missing angles using this information

The given triangles are isosceles I have drawed the on the shape, check out the attachment olease.

will give brainlist

Answers

Answer:

second answer

Step-by-step explanation:

yards is commonly used for large sparse area measurements

James had $43 on his birthday he received $25. Write and solve and equation to find out how much money he has now.

Answers

Answer:

43+25=68

Step-by-step explanation:

Two angles of a quadrilateral measure 110° and 120°. The other two angles are in a ratio of
3:10. What are the measures of those two angles?

Answers

Answer:

30, 130

Step-by-step explanation:

sum of internal angles in a quadrilateral is 360.

sum of other two angles

[tex] = 360 - (120 + 110) \\ = 360 - 230 \\ = 130[/tex]

Which equation has a axis of symmetry of x=4 ?

Answers

I think you forgot to add the picture. However, any x = 4 equation will result in a graph with a vertical line on the x-axis. For example x = 20 will be a vertical line on x-axis 20.

Or, in a more difficult equation like this...

10x - 60 = 10

10x = 10 +60

10x = 70

x = 7,

where the graph looks like a vertical line with a point on the x axis on 7.

The local pizza restaurant offers free delivery if you live within a 6-mile radius of the restaurant. The restaurant is located at the origin. Ada’s house is 4 miles west and 5 miles north of the restaurant at point (–4, 5). Does Ada’s house lie on or within the circle representing the area that gets free delivery?

a. No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius.
b. Yes, the distance from the restaurant to Ada’s house is exactly 6 miles.
c. No, the distance from the restaurant to Ada’s house is 7 miles, which is greater than the 6-mile maximum radius.
d. Yes, the distance from the restaurant to Ada’s house is miles, which is less than the needed 6-mile radius.

Answers

Answer:

A.......No, the distance from the restaurant to Ada’s house is  miles, which is greater than the 6-mile maximum radius

Step-by-step explanation:

Using the distance between two points, it is found that the correct option regarding whether Ada’s house lie on or within the circle representing the area that gets free delivery is given by:

a. No, the distance from the restaurant to Ada’s house is [tex]\sqrt{41}[/tex] miles, which is greater than the 6-mile maximum radius.

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, we want to find the distance between the restaurant at the origin (0,0) and Ada's house at point (-4,5), hence:

[tex]d = \sqrt{(5 - 0)^2 + (-4 - 0)^2} = \sqrt{41} > 6[/tex]

Greater than 6 miles, hence option a is correct.

More can be learned about the distance between two points at https://brainly.com/question/18345417

Which group contains exactly three liabilities?
A savings account, gift card, bank loan
B checking account, bank loan, car payment
C mortgage, bank loan, car payment
D stocks, retirement fund, car

Answers

Answer:

mortgage, bank loan, car payment

C. Liabilities are costs to you

Judah rides his bike 15 miles in 1/2 an hour.How many miles does he ride in one hour?

Answers

30 miles in one hour
1/2 and hour=30 minutes. 1 hour=60 minutes. 30*2=60. So, 15*2=30 must be the answer.

Write an equation in slope-intercept form for the line that passes through the
given point and is parallel to the graph of the given equation.
(4, -6), y=-3/4x+1

Answers

Answer:

[tex]y=-\frac{3}{4}x-3[/tex]

Step-by-step explanation:

The slope will be the same as the one in the given equation since they are parallel, you can substitute the x and y of the given point into the given equation, replacing the 1 with m to get m in the equation.

I hope this helps :)

pls help me, i will actually give BRAINLIEST:

What is the transformation shown in the graph?

Answers

Answer:

Step-by-step explanation:

it's rotated by 90° about the origin , in a clock wise direction

Someone help me I will give a brainlist to whoever explains how to figure out the answer

The question is a model of rectangular stove top with four circular burners is shown the side length of the top stove and the diameter of the burners are labeled.which measurement is the best estimate of the area and square inches of the stove top that does not include the area of the burners?

Answers

Answer: see work

Step-by-step explanation:

Total area is 24x22=528

one circle area is (pi)3^2=9(pi)

that times 4 because of 4 circles =36(pi)

so the total are minus the circles now

in terms of pi the answer is 528-36(pi)

if pi = 3.14 the answer in 414.96

Given sin y = -4/5, where π < y < 3π/2, and cos x = 12/13, where 0 < x < π/2. Find the exact value of sin (x - y).

Please show all the exact steps in order I am really lost on how to solve this.

Answers

Answer:

Solution given:

sin y = -4/5

p/h=4/5

p=4

h=5

b=√{5²-4²)=3

cos y = b/h=-3/5

again

cos x=12/13

b/h=12/13

b=12

h=13

p=√(13²-12²)=5

sin x=p/h=5/13

now

sin[x-y]=sinxcosy-cosxsiny

=5/13×-3/5-(12/13×-4/5)=33/65 is your answer.

How do angles of depression and elevation relate when solving problems involving right triangles?

Answers

The relationship between the angle of elevation and the angle of depression is called alternate interior angles theorem. As such, these angles are congruent and equal. Hope this helps! Mark brainly please!

What is the slope if you are given the following ordered pairs? (Simplify)
(-1,6) & (8,6)

Answers

Answer:

7/2

Step-by-step explanation:

y2-y1/x2-x1

(6-(-1)/8-6) = 7/2

i dont know the answer!

which sign do i use??/

Answers

the greater than symbol i presume

The radius of a circle is 3.8 feet find the diameter

Answers

Answer:

7.6

Step-by-step explanation:

radius is half the diameter so multiply 3.8 times 2.

need help on geomtry homework

Answers

Answer:

Perimeter = 42 cm

Step-by-step explanation:

XY = 8 cm  because ΔWXZ ≅ ΔYZX

Perimeter = 8 + 14 + 20 = 42 cm

What is the slope of this line? Please awnser

Answers

Answer:

-1/2

Step-by-step explanation:

The rise is -1 and the run is 2, the slope is rise over run

I hope this helps :)

The answer should be -1/2

HELP URGENT!!!!!!!!!!

Answers

Answer:

53 and 118

Step-by-step explanation:

Just know that all the angles in a triangle add up to 180 degrees. In the first one, you can tell it is a right triangle by the square in the corner and the other angle is 37. So 180-(37+90)=53

For the second one, it is the same case so 180-(42+20)= 118

Answer:

53 degrees

Step-by-step explanation:

sum of angles in a triangle is 180

a right angle is 90

missing angle is B

180 = 90 + 37 + B

180 = 127 + B

B = 53

Mark is increasing his exercise routine by running and walking at least 4 miles each day. His goal is to burn a minimum of 1,500 calories from this exercise. Walking burns 270 calories/mile and running burns 650 calories. Could he meet his goal by walking 3 miles and running 1 mile?

Answers

Answer:

No

Step-by-step explanation:

1. (270 * 3) + (650 * 1)

2. 810 + 650

3. 1,460 miles. Therefore, by doing this, Mark would have trekked 1,460 miles.

4. 1500 > 1460, so Mark would not meet his goal by doing this.

Fred is baking cookies for a school sale. It takes 3/4 cups of sugar to make on batch of cookies how many cups of sugar does he need to make 9 batches

Answers

Answer:

6 3/4 cups.

Step-by-step explanation:

Multiply 3/4 by 9.

Hope this helps!

In 2018 sienna invested 5000. The value of the invest,ent increases by 3%each year compounded weekly if she doesn't make additional transactions, what will be the value of her investment in 2025

Answers

Answer:

6168.02

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value - 5000

R = interest rate = 0.03

N = number of years = 7

m = Number of compounding = 52

5000 x ( 1.000577)^52 x 7 = 6168.02

What would it be? thank you

Answers

Answer:

C = 43.98 inches; A = 153.94 square inches

Step-by-step explanation:

2*pi*(7)=43.98

pi*(7)^2=153.94

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