All categories

3 years ago

Given the endpoint (4, −2)and midpoint (9, 4), find the other endpoint.

Mathematics

1 answer:

marissa [1.9K]3 years ago

4 0

Answer:

Step-by-step explanation:

(x + 4)/2 = 9

x + 4 = 18

x = 14

(y-2)/2 = 4

y - 2 = 8

y = 10

(14, 10)

You might be interested in

Use the diagram to copy and complete the statement. (#12, 14, 16)

Sergio [31]

11 is the biggest and the 22

8 0

3 years ago

The cost to repair linda's car is $500, including parts and labor. the cost of parts is $140. if the cost of labor is $40 per ho

Mkey [24]

500=140+40h
minus 140 both sides
360=40h
divide y 40
9=h
9 hours

5 0

2 years ago

Can some help ...:.....0

frozen [14]

Answer:

-4

Step-by-step explanation:

Two legs of the triangle are congruent as shown by the tick marks. This means that this is an isosceles triangle; in an isosceles triangle, the two base angles are also congruent. Which means <A and <B are congruent.

So to solve for x, set 28 and 10x+68 equal to each other.

28=10x+68

First, subtract 68 from both sides

-40=10x

Then, divide both sides by 10

-4=x

If you want to check your answer plug -4 back into the original equation.

28=10(-4)+68

28=-40+68

28=28, which is true, therefore -4 is correct.

7 0

2 years ago

Which expression is equivalent to the following?

xeze [42]

Step-by-step explanation:

$\sin^{4}x \: - \cos^{4} x = (\sin^{2}x)^{2} - (\cos^{2}x)^{2}$

$= (\sin^{2}x)^{2} - (1 - \sin^{2}x)^{2}$

$= \sin^{4}x - (1 - 2\sin^{2}x + \sin^{4}x)$

$= 2\sin^{2}x - 1$

$= - \cos2x$

Note: I used the identity

${ \sin }^{2} x = \frac{1}{2} (1 - \cos \: 2x)$

for the last step.

PS. I love proving trigonometric identities!

3 0

2 years ago

The length of a rectangle is 4 feet less than 3 times its width. The perimeter of the rectangle

love history [14]

Answer:

8w - 8 = 54

Step-by-step explanation:

3 0

2 years ago