Which equation represents the perpendicular
bisector of AB whose endpoints are A(8,2) and
B(0,6)?

Answers

Answer 1

Answer:

y = ½x + 2

Step-by-step explanation:

We are given the coordinates of the endpoint as;A(8,2) and

B(0,6)

The midpoint coordinates will be;

((8 + 0)/2, (2 + 6)/2) = (4, 4)

The slope of the midpoint using gradient formula will be;

m = (6 - 2)/(0 - 8)

m = 4/-8

m = -2

Thus, slope of a line perpendicular to the midpoint is;

m_p = -1/m

m_p = -1/-2

m_p = 1/2

Thus, using slope intercept concept, the equation to represent the perpendicular bisector is;

y - 4 = ½(x - 4)

Multiply both sides by 2 to get;

2y - 8 = x - 4

Add 8 to both sides to get;

2y - 8 + 8 = x - 4 + 8

2y = x + 4

Divide through by 2 to get;

y = ½(x + 4)

y = ½x + 2


Related Questions

Perimeter of ABC is 67.
ADC is equilateral and ABC is isosceles. Angle CAB=60, ACB=60 and ACB=60. Find perimeter of triangle ADC.
(Triangle ADB intersects at an angle of 60 deg in triangle ABC.)​

Answers

Answer:

man can u send the pic of the diagram I will solve it

You have 50 quarters. You find 20​% more quarters in your room. Then you go shopping and spend 25​% of the total number of quarters. Write an expression to represent the total number of quarters you take with you shopping.​ Calculate, in​ dollars, the amount of money you have left.

Answers

Answer:

$11.25

Step-by-step explanation:

Which expression is equivalent to 4(x+12)

Answers

Answer:

4(x + 12) = 4x + 48

Step-by-step explanation:

Answer:

2(2x + 6)

Step-by-step explanation:

Please help me with this question



pls, I really need help

Answers

Answer: x=7, y=-23
(7,-23)

Explanation:

is line b: y=3x-8 parallel or perpendicular line​

Answers

Answer:

parallel i believe

Step-by-step explanation:

Find the equation that passes through points A and B

Answers

Answer:

Step-by-step explanation:

A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2

Equation of a line AB is

((y-y1) = m(x-x1)

y - 7 = 2(x-1)

y - 7 = 2x-2

y = 2x + 5

Answer:

y = 2x +5

Step-by-step explanation:

Equation of a line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The image provides two points A(1,7) and B(-3,-1), thus the slope is:

[tex]\displaystyle m=\frac{-1-7}{-3-1}[/tex]

[tex]\displaystyle m=\frac{-8}{-4}[/tex]

m = 2

Now we apply the point-slope form taking the point (1,7):

y - 7 = 2 ( x - 1 )

Operating:

y - 7 = 2x - 2

Adding 7:

y = 2x +5

Indicate whether the following statements are True or False. Select your answer by using the drop down menus. A. The distance between -7 and 9 on a number line is 16. Choose... B. The distance between 8 and -3 on a number line is 11. Choose... C. The distance between -5 and 15 on a number line is 10. Choose... - D. The distance between 12 and -2 on a number line is 14. Choose... -

What is the answers to all of them true or false.​

Answers

Answer:

a:t

b:t

c:t

d:t

Step-by-step explanation:

Please help!!!

Explain and correct the error in this calculation.

Answers

Answer:

for more math help use the app called connects

Find the area of the shape below.
16 cm
7 cm
7 cm
20 cm

Answers

Answer:

Area = 230 cm

Step-by-step explanation:

We can split this shape into different parts: a rectangle and a triangle (I attached an image below as a visual aid).

The area of a rectangle is given as:

[tex]Area = width * length[/tex]

and the area of a triangle is given as:

[tex]Area = \frac{1}{2} *base * height[/tex]

Let's first solve for the area of the rectangle. The width of the rectangle is 20cm, and the height of the rectangle is 7cm. So, the area is 7 × 20 = 140cm.

Now, let's solve for the area of the triangle. The base of the triangle is 20 cm, and the height of the rectangle is 16 - 7 = 9cm. So, the area is [tex]\frac{1}{2} * 20 * 9[/tex] = 90cm.

We add the two values together to get the combined area of the shape. 140 + 90 = 230 cm.

Kevin wants to buy 2.5 pounds of chicken at $6.49 per pound. How
much will he pay?

Answers

Answer:

16.225

just times 2.5 times 6.49

Can 39, 15, and 36 form a right triangle?

Answers

Answer: yes but... i might be wrong so i think no cause i had a question like this and it was no

Step-by-step explanation:

Use the bar diagram to write an equation. Then solve.
4x +
x =



x =


x =

Answers

4x+12x=320, you basically need to add the bottom part together and it should add up to the top part (320).

Anyone know the answer?

Answers

Answer:

skewed right

Step-by-step explanation:

It is skewed to the right.  There are 6 entries for 11. No other number comes close to the amount. 12 has 1 entry and 13 is the end of the graph. This definitely favors the right hand side.

What is the opposite of - 7/16

Answers

Answer: Positive 7/16

Step-by-step explanation:

Answer:

7/16

Step-by-step explanation:

because the opposite of a negative is a positive.

PLEASE ANSWER QUESTION ASAP BEFORE 6:30 p.m.
SHOW WORK PLEASE
WRITE IT ANSWER FRACTION PLEASE
As soon as a new car is purchased and driven away from the dealership, it begins to lose its value, or depreciate. Alonso bought a 1994 Plymouth Neon for $9559. One year later, the value of the car was $8500. What was the percent of decrease of the value of the car?

P.S. This is a percent increase/decrrease
from: 9559
to: 8500

%/100 = differences of to and from/ from ( before the number )
( no negative difference, bigger number subtract smaller number)

Answers

Answer:

11%

Step-by-step explanation:

$9559-$8500=1059

1059/9559= .110786

.110786 x 100= 11.0786%

11.0786%= 11%

Paula bought a ski jacket on a sale for $7 less then half its original price. She paid $87 for the jacket. What was the original price?

Answers

Answer:

$188

Step-by-step explanation:

first you would do 87 + 7 which is 94

then multiply it by 2 which is 188

hope this helps :)

Answer:

The original price of the jacket was $188

Step-by-step explanation:

1/2x - 7 = 87

      +7     +7

1/2x = 94

x2       x2

x = 188

I need help please anyone can help me !!!!

Answers

Answer:

5.15

Step-by-step explanation:

I hope this helps have a great day

Please help me with this

Answers

Answer:

Step-by-step explanation:

The question is ambiguous. Is the longer side the hypotenuse of the length of the other leg making up the right angle.

The missing side is the hypotenuse

x + 2x + sqrt(x^2 + (2x)^2 ) = 28

3x + sqrt(x^2 + (2x)^2 ) = 28

sqrt(x^2 + (2x)^2 ) = 28 - 3x                 Square both sides

x^2 + 4x^2 = 784 - 168x + 9x^2

5x^2 = 784 - 168x + 9x^2

0 = 784 - 168x + 4x^2                         Use the quadratic formula to solve this. It does not factor.

x = 5.34

2x = 10.68

hypotenuse = sqrt (5*5.35^2)

hypotenuse = 5.35*sqrt(5)

hypotenuse = 11.96

=============

Shortest leg = 5.35

Other leg = 10.7

Hypotenuse = 11.96

Total = 28.01

So the answer is mathematically correct for the hypotenuse being the unknown.

#################################

If the leg is unknown, then I'll set up the equation and you can solve it.

x + sqrt(4x^2 - x^2) + 2x = 28             subtract x from both sides

sqrt(4x^2 - x^2) + 3x = 28                   Square both sides

sqrt(3x^2) = 28 - 3x                    

3x^2 = 784 - 168 + 9x^2

6x^2 - 168x + 784 = 0

x = 5.91

You can carry on from here.

Answer:

Step-by-step explanation:

Let's call the sides a,b,c

P=28 so

a+b+c=28

twice as long means a = 2b  substitute in equation above

2b+b+c=28

3b+c=28

but we also know is a right triangle so thhe Pythagorean Theorem can be apply yet we shoud figure what side is the hypothenuse

Since a=2b, b-cannot be the hypothenuse because is not the biger side so is eithher a or c

a² = b²+c² or c² = b²+a² substitute a² for (2b)²=4b²

4b² = b²+c² or c² = b²+ 4b²

3b² = c² or c² = 5b²

yet 3b+c=28, c=28-3b, so c²= 28²- 168b+9b² =9b²-168b+784

9b²-168b+784=3b² or 9b²-168b+784=5b²

6b²-168b+784=0 or 4b²-168b+784=0

and probably solve using quadratic equations

48 = -6a, a =
pls help hfjdjf

Answers

Answer:

a=-8

Step-by-step explanation:

a cube of wood exerts a pressure of a 2pa when it is placed on a floor . What is the force exerted by the cube of its surface area is 5m square?​

Answers

Answer:

the force exerted is 10 newton

Jack drove 41 1/2 miles. He used 1 1/4 gallons of gasoline . What is the unit rate for miles per gallon ?

Answers

Answer:

How  do I have the same problem as a high schooler when im in 6th grade

Step-by-step ex

jsn=55

Write the equation of the line passing through a points A and B.

A(-4,3) and B(-3,9)

Answers

Answer: y=6x + 27

Step-by-step explanation:

Answer:

not sure yet. hold on. a second

how do i find the slope of a line graph

Answers

Answer:

rise over run

Step-by-step explanation:

you count the y axis from one point on a line to another then you count the x axis from the same two points and turn this into a fraction of y over x

y/x this is the slope

A group of randomly selected Clyde Marketing employees were asked what their most common form of transportation is. The bar graph below shows the results of the survey. There are 275275275 employees at Clyde Marketing.

Answers

Answer:

88 would be the answer maybe.....

Answer:

88

Step-by-step explanation:

What is the domain and range please?

Answers

9514 1404 393

Answer:

  domain: {3, 5, 7, 11, 13, 15}

  range: {-18, -2, 0, 8, 14}

  yes, it is a function

Step-by-step explanation:

The domain is the list of numbers in the x column: {3, 5, 7, 11, 13, 15}.

The range is the list of numbers in the y column. Usually duplicates are removed. It is often useful to order the numbers, but is not strictly necessary. The range is {-18, -2, 0, 8, 14}.

No x-value is repeated, so the relation IS A FUNCTION.

Which statement about the diagram are true? Select three options.
DE+EF> DF

Answers

Answer:

wheres the picture dude

Step-by-step explanation:

B is the midpoint of AC, D is the midpoint of CE, and AE = 21.
Find BD. The diagram is not to scale.
Please help
Geometry

Answers

Answer:

Required Answer:-

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]

The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.

What is a triangle?

A closed shape with both inner and exterior angles, a triangular is created by three lines.  the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side

The value of AE is given as 21.

From the diagram that is given, it is indicated that according to the midpoint theorem

BD║AE

Also, BD= 1/2 ×AE

BD = 21/2

BD = 10.5 cm.

Therefore, option D is the correct option.

Learn more about triangles, Here:

https://brainly.com/question/2773823

#SPJ2

The question is incomplete, the complete question will be :

A. 42

B. 21

C. 11.5

D. 10.5​

9^(x + 2) = 27
Can someone help solve

Answers

Answer:

x=-.5

Step-by-step explanation:

can anyone help ?????

Answers

4/10 because I said so

need help on this too ​

Answers

Answer:

I am pretty sure it’s either the first one or the last one

Step-by-step explanation:

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