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lyudmila [28]
3 years ago
12

Solve and check the following equation. p = −2p −15p =

Mathematics
2 answers:
masha68 [24]3 years ago
8 0

Answer:

I think its -17p

Step-by-step explanation:

san4es73 [151]3 years ago
7 0

Answer:

p = 0

Step-by-step explanation:

The given equality is p= -2p - 15p

Simplifying, p = (-2-15)p

=> p= -17p

Moving all the terms to the left hand side:

=> p + 17 p =0

=> 18 p =0

The only value of p for which this equality will hold is when p= 0/18 = 0

Validation:

Substituting p = 0 in the original equality:

p= -2p - 15p

LHS = p = 0

RHS = -2p - 15p

= -2*0 -15*0 = 0-0 = 0

So the two sides are equal and the equality is valid for p = 0.

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Find the area of the shaded region in the figure below. 5in. 8in.
Fiesta28 [93]

Hi there!

<u>Answer:</u>

The area of the shaded region is 28 in²


<u>Step-by-step explanation:</u>

You will have to do 3 different steps in order to find the area of the shaded region.

First, you will need to find the total area of the rectangle using the values you have and the area formula for a rectangle, which is : A = Length × Width

"A" is the area, which is what we are looking for

The "Length" is equal here to 8 inches

The "Width" is equal here to 5 inches


A = <u>8 × 5</u>

A = 40 in²


Now that you have the area of the rectanlge, your second step is to find the area of the triangle using the values you have and the area formula for a triangle, which is : A = (Base × Height) ÷ 2

"A" is the area, which is what we are looking for

The "Base" is equal here to 8 inches

The "Height" is equal here to 3 inches


A = <u>(8 × 3)</u> ÷ 2

A = <u>24 ÷ 2</u>

A = 12 in²


Now that you have both the area of the rectangle and the area of the triangle, all you have to do for your third and final step is subtract the area of the triangle from the area of the rectangle so that you are left with the area of the shaded region :

Area shaded region = <u>40 in² - 12 in²</u>

Area shaded region = 28 in²


There you go! I really hope this helped, if there's anything just let me know! :)

6 0
3 years ago
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