A rectangle has a length of (5r+8) inches and a width of (2r + 4) inches. What is the area of the rectangle? Option 1: 10r^2 - 36r + 32
Option 2: 10r^2 + 36r + 32
Option 3: 10r^2 + 32
Option 4: 10r^2 - 32

Option 2

Step-by-step explanation:

First distribute 5r to 2r and 4 to get 10r^2+20r

Then distribute 8 to 2r and 4 to get 16r+32

After that you combine the like terms, so combine 20r and 16r to get 36r

Since there aren't other like terms for 10^2 and 32 you leave them how they are

After you combine your like terms you write the terms in order to get 10r^2+36r+32

Hope this helped!

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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step-by-step explanation: