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3 years ago

Find the midpoint of the segment with the given endpoints. (8,7) and (-6,9)

Mathematics

2 answers:

Fynjy0 [20]3 years ago

8 0

I hope this helps. If you have any more questions feel free message me

Elden [556K]3 years ago

5 0

You would use the midpoint formula

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Which corresponds to the perimeter of triangle ABC?

____ [38]

Answer:

The answer to your question is: letter C

Step-by-step explanation:

Data

A (-5 , -1)

B (-2, 3)

C (6, -3)

Perimeter = ?

Formula

$d = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }$

distance AB $d = \sqrt{(-2 + 5)^{2} + (3 + 1)^{2} }$

$d = \sqrt{(3)^{2} + (4)^{2} }$

$d = \sqrt{(9 + (16) }$

$d = \sqrt{25}$

d = 5

Distance BC $d = \sqrt{(-3 - 3)^{2} + (6 + 2)^{2} }$

$d = \sqrt{(-6)^{2} + (8)^{2} }$

$d = \sqrt{36 + 64}$

$d = \sqrt{100}$

d = 10

Distance AC $d = \sqrt{(-3 + 1)^{2} + (6 + 5)^{2} }$

$d = \sqrt{(-2)^{2} + (11)^{2} }$

$d = \sqrt{4 + 121}$

$d = \sqrt{125}$

d = 11.2

Perimeter = 5 + 10 + 11.2

= 15 + $\sqrt{125}$

4 0

4 years ago

Alvin's age is two times Elga's age. The sum of their ages is 24. What is Elga's age?

gulaghasi [49]

Alvin is 16 and Elga is 8.

16 is two times bigger than 8 and 16+8= 24

8 0

2 years ago

Read 2 more answers

Simon added $4.50 to the money in his bank. Then his father agreed to double Simon's money, which gave him $33. How much money d

Sloan [31]

33/2 = 16.50

16.50 - 4.50 = 12$

Simon has twelve dollars to begin with.

7 0

3 years ago

Solve the equation. 1/3p + 7 = 25

Helga [31]

P=6
You minus the 7 from 25 and you get 18 then you divide 18 from 1/3

5 0

3 years ago

Read 2 more answers

My cousin borrowed $15,000 for a new car loan for 5 years. He told me that at the end of the loan, he had paid $21,000 for the i

Umnica [9.8K]

To solve this problem we are going to use the simple interest formula: $A=P(1+rt)$
where
$A$ is the sum of the interest and the principal
 $P$ is the principal
$r$ is the interest rate in decimal form
$t$ is the time in years

We know for our problem that $A=21000$ , $P=15000$ , and $t=5$ . Now, let $x$ represents our interest rate. To express the interest rate in decimal form, we are going to divide the rate by 100%:
$r= \frac{x}{100}$
$r=0.01$ .
Now that we have all the values we need, lets replace them in our simple interest formula to find the interest rate:
$A=P(1+rt)$
$21000=15000[1+(0.01x)(5)]$
$\frac{21000}{15000} =1+0.05x$
$1+0.05x=1.4$
$0.05x=0.4$
$x= \frac{0.4}{0.05}$
$x=8$

We can conclude that the interest rate of your cousin's loan was 8%.

4 0

3 years ago

Read 2 more answers