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1 year ago

Find the midpoint of the segment with the following endpoints. (-9, 8) and (-4, -2)

Mathematics

1 answer:

Ostrovityanka [42]1 year ago

8 0

The mid point of the segment with the following endpoints. (-9, 8) and (-4, -2) is (-6.5, 3)

<h3>How to find mid point ?</h3>

The mid point of the segment can be found as follows;

The endpoint is a follows:

(-9, 8) and (-4, -2)

Therefore,

mid point = (x₁ + x₂ / 2, y₁ + y₂ / 2)

hence,

mid point = (-9 - 4 / 2, 8 - 2 / 2)

mid point = (-13 / 2 , 6 / 2)

mid point = (-6.5, 3)

learn more on mid points here: brainly.com/question/12885634

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X = 10 - y and y = x - 8

garik1379 [7]

Answer:

x = 9 and y = 1

Step-by-step explanation:

Here,

x = 10 - y and y = x - 8 is given

then, name the equation

x = 10 - y ...(1)

y = x - 8 ...(2)

Now, put the value of x in equation (2) we get

y = x - 8

y = (10 - y) - 8

y = 10 - y - 8

y + y = 10 - 8

2y = 2

y = 2÷2

y = 1

Here, we get the value of y = 1

Now, we put the value of y in equation (1) we get

x = 10 - y

x = 10 - (1)

x = 10 - 1

x = 9

<h3><em><u>VERIFICATION</u></em><em><u>:</u></em></h3>

x = 10 - y

9 = 10 - 1

9 = 9

Hence, LHS = RHS

-TheUnknownScientist

7 0

2 years ago

Jim invested $4,000 in a bond at a yearly rate of 4.5%. He earned $540 in interest.How long was the money invested?

abruzzese [7]

Answer:

3 years

Step-by-step explanation:

540 = 4000 x 0.045x

540 = 180x

x = 3

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2 years ago

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2 years ago

How many soutions does this equation have?

DiKsa [7]

Answer:

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2 years ago

Read 2 more answers

Find the length of the diagonal AD in the pentagon ABCDE shown in the coordinate plane.

Xelga [282]

Answer:

$\sqrt{73}$ units.

Therefore, Option C is correct.

Step-by-step explanation:

We have given a pentagon ABCDE

We need to calculate its length

That means we have to find the distance of AD

So, coordinates of A(1,6) and D(4,-2)

Using distance formula:

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Here, $x_1=1,y_1=6,x_2=4,y_2=-2$

On substituting the values we will get:

$\sqrt{(4-1)^2+(-2-6)^2}$

On simplification:

$\sqrt{3^2+(-8)^2}$

$\sqrt{9+64}$

$\sqrt{73}$ .

Hence, the length of AD is $\sqrt{73}$ units.

Therefore, Option C is correct.

6 0

3 years ago