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notsponge [240]
3 years ago
6

Find the distance between the points (-4, 10) and (-4, -8).

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0

Answer:

18 units

Step-by-step explanation:

(-4 , 10) and (-4, -8)

Distance = \sqrt{(x_{2}+x_{1})^{2}+(y_{2}-y_{1})^{2}}\\

              = \sqrt{(-4-[-4])^{2}+(-8-10)^{2}}\\\\= \sqrt{(-4+4)^{2}+(-18)^{2}}\\\\=\sqrt{0 + 324}\\\\=\sqrt{324}\\\\= 18

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(2(n+1)-1)^2-(2n-1)^2 simplified
Westkost [7]

Answer: 8n

Let's simplify step-by-step.

(2(n+1)−1)2−(2n−1)2

Distribute:

=4n2+4n+1+−4n2+4n+−1

Combine Like Terms:

=4n2+4n+1+−4n2+4n+−1

=(4n2+−4n2)+(4n+4n)+(1+−1)

=8n

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3 to the third power minus 2 times 3 plus 5
Dahasolnce [82]

Answer: 26

<u>Step 1</u>

27-(2)(3)+5

<u>Step 2</u>

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5 0
3 years ago
Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relation
Verdich [7]

Since no possible correct method is posted, I will suggest a couple.

Method 1: guess and check

Works well for simple problems involving integers like this one.

Victor's age must be zero or greater than one, say one.

Guess v=1, find m=v+6=7, check m=5v-2=5-2=3 no good.

we need to make v bigger

Guess v=2, find m=v+6=2+6=8, check m=5v-2=5*2-2=8 ✔

So v=2, m=8.

Method 2:

Solve the system of two equations.

since the left-hand sides is m in both equations, and since m=m, we just have to equate the right-hand sides to solve for v.

5v-2=v+6

Solve for v

5v-v = 6+2

4v=8

v=2,

so again, v=2, m=v+6=2+6=8.

6 0
3 years ago
Completely factor the equation: 35 + 5x
OlgaM077 [116]
5 (x + 7) is the answer
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3 years ago
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