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## A Complete Math Tuition Solution

### Gilberts, IL (60136)

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# Shefali's Responses in WyzAnt Answers

#### 2x-6y=-104x=10+6y

How do you get coordinates out of these two equations?

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10

Hello Robyn,

Two equations given are

2x - 6y = -10 -------------->equation 1

4x = 10 + 6y -------------->equation 2

We'll solve this problem using the elimination method.

Solve equation 2

4x = 10 + 6y (given)

-6y        -6y  (subtract 6y from both sides)

_______________

4x - 6y = 10 ------------------>new equation 2

Multiply equation 1 by -1 on both sides you'll get

-1(2x - 6y) = -1 (-10)

-2x + 6y = 10 -------------------> new equation 1

Add new equation 1 and new equation 2 to eliminate the y term you'll get

-2x + 6y = 10

4x - 6y = 10

_______________

2x = 20

(2x)/2 = 20/2 (divide both sides by 2)

Now, substitute the value of x in equation 1

2x - 6y = -10 (given)

2(10) - 6y = -10 (since, x = 10)

20 - 6y = -10

-20          -20   (subtract 20 from both sides)

_________________

-6y = -30

(-6y)/-6 = -30/-6 (divide by -6 on both sides)

Good luck

#### (m^2-5)(2 m^2+3)

I need to simplify

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Asked by Jessica from Boca Raton, FL
10

Hello Jessica,

Use FOIL method to multiply

(m2 - 5)(2m2 + 3)

m2(2m2 + 3) - 5(2m2 + 3)

Now, distribute, combine like terms and solve you'll get your answers. I hope it helps you. If you need further assistance you can ask.

#### (6.32x 10^-12)(9.5x10^-5)

(6.32x 10^-12)(9.5x10^-5)

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Asked by Jessica from Boca Raton, FL
10

Hello Jessica,

Multiply 6.32 and 9.5

Multiply 10-12 and 10-5using exponent rule (am * an = am+n)

#### State the possible rational roots of 2x^3-4x^2+8x-10=0

State the possible rational roots of 2x^3-4x^2+8x-10=0

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Asked by Connor from Young America, MN
10

Hello Connor,

The constant term of this polynomial is 10, with factors 1, 2, 5, and 10.

The leading coefficient is 2, with factors 1 and 2.

Then the Rational roots yields the following possible solutions:

±(factors of 10)/(factors of 2)

= ±(1, 2, 5, 10)/(1,2)

= ±1/1, ±1/2, ±2/1, ±5/1, ±5/2, ±10/1

±1, ±1/2, ±2, ±5, ±5/2, ±10 (answers)

Hope this helps.

#### If the width of a rectangle is 8 inches and its perimeter is 42 inches, find the length of the rectangle.

The length of the rectangle is what in inches?

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Asked by Jamal from Oregon, OH
00

Hello Jamal,

Given:   Width (W) = 8 inches

Perimeter (P) = 42 inches

What to find : Length

Formula for perimeter of rectangle is

P = 2L + 2W

Plug in the values of P and W in the formula and solve for L. Try it out, if you still need help i'll be glad to help you.

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