A wooden plank is leaning against an outside wall of a building. The bottom of the plank is 3 ft from the wall. Find each of the following values, and show all your work. (a) Find the approximate length of the plank. Round to the nearest tenth of a foot. (b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.

The two figures that multiply to-48 and add up to-2 are-8 and 6.

Let's assume the two figures are x and y.

According to the problem, we've two conditions

x y = -48

x y = -2

To break this, we can rewrite the alternate equation as

x = -2- y

Now substitute this value of x in the first equation

(-2 - y) y = -48

- 2y- y² = -48

Rearranging the terms

y² + 2y- 48 = 0

Now, solving the Quadratic Equation

(y+ 8)( y- 6) = 0

Setting each factor to zero

y + 8 = 0--> y = -8

y- 6 = 0--> y = 6

So we've two possible values for y is -8 and 6.

Substituting these values back into the equation x + y = -2, we can break for x

For y = -8

x(- 8) = -2

x- 8 = -2

x = 6

For y = 6

x 6 = -2

x = -2- 6

x = -8

Thus, the two figures that multiply to-48 and add up to-2 are-8 and 6.

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Answer:

The expression 15x + 10 is equivalent to  5(3x+2)

Step-by-step explanation:

Hello, I think I can help you with this

factorize a polynomial is to break it down into two or more polynomials called factors, so that, by multiplying them, you get the original polynomial

step one

The expression 15x + 10 must be factorized, the common term between 15 and 10 is 5,

so , the answer is  5(3x+2)

Do not hesitate to ask me any questions you have,Have a fantastic day

Answer:

5(3X+2)

Step-by-step explanation: