Twelve less than a number is -75

Could you help me find the volume?

mestny [16]

Volume of what? volume of cube etc

8 0

3 years ago

Read 2 more answers

Solve the system of equations algebraically.

Romashka [77]

A should be the right answer because 4*5/4=5 + 5*2=10 and 5+10=15.

8 0

3 years ago

How do you do number 1? Whenever I tried to answer it, I always get fraction. help me.

Flura [38]

Answer:

The pairs are (13,15) and (-15,-13).

Step-by-step explanation:

If n is an odd integer, the very next odd integer will be n+2.

n+1 is even (so we aren't using this number)

The sum of the squares of (n) and (n+2) is 394.

This means

(n)^2+(n+2)^2=394

n^2+(n+2)(n+2)=394

n^2+n^2+4n+4=394 since (a+b)(a+b)=a^2+2ab+b^2

Combine like terms:

2n^2+4n+4=394

Subtract 394 on both sides:

2n^2+4n-390=0

Divide both sides by 2:

n^2+2n-195=0

Now we need to find two numbers that multiply to be -195 and add up to be 2.

15 and -13 since 15(-13)=-195 and 15+(-13)=2

So the factored form is

(n+15)(n-13)=0

This means we have n+15=0 and n-13=0 to solve.

n+15=0

Subtract 15 on both sides:

n=-15

n-13=0

Add 13 on both sides:

n=13

So if n=13 , then n+2=15.

If n=-15, then n+2=-13.

Let's check both results

(n,n+2)=(13,15)

13^2+15^2=169+225=394. So (13,15) looks good!

(n,n+2)=(-15,-13)

(-15)^2+(-13)^2=225+169=394. So (-15,-13) looks good!

6 0

3 years ago

Find the prime factorization of 210. 2 X 3 X 5 X 7 2 X 3 X 35 2 X 7 X 15

lara31 [8.8K]

The answer is: [A]: " 2 × 3 × 5 × 7 " .
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210 = 70 * 3 ;

70 * 3 = 35 * 2 * 3 ;

35* 2* 3 = 7 * 5 * 2 * 3 ; which corresponds to "Answer choice: [A]." .
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6 0

3 years ago

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Complete the proof given below.

allochka39001 [22]

Given that the opposite sides of a parallelogram are congruent, a diagonal

of the parallelogram forms two congruent triangles.

The correct options to complete the proof are;