ANSWER:
Let width be x, then length be 2x – 2
Now, Area of rectangle = L × B
- x(2x – 2) = 40
- 2x² – 2x – 40 = 0
- 2(x² – x – 20) = 0
- x² – x – 20
- x² –5x + 4x – 20 = 0
- x(x – 5) + 4(x – 5) = 0
- (x + 4)(x – 5) = 0
- x = – 4; 5
Hence, width can't be negative.
So width = 5in.
And Length = 2 × 5 – 2
So, <u>Correct choice</u> - [D] Length is 8 in, Width is 5 in.
Answer:
The amount Sandy earns from babysitting is proportional to the number of hours she works. The graph represents this proportional relationship.
Step-by-step explanation:
<h3><u>The value of the larger number, x, is 57.</u></h3><h3><u>The value of the smaller number, y, is equal to 42.</u></h3>
x - y = 15
2x + 8 = 3y - 4
We can quickly get a temporary value for x by altering the original equation.
x - y = 15
<em><u>Add y to both sides.</u></em>
x = 15 + y
Now that we have a value of x, we can find the exact value of y.
2(15 + y) + 8 = 3y - 4
<em><u>Distributive property.</u></em>
30 + 2y + 8 = 3y - 4
<em><u>Combine like terms.</u></em>
38 + 2y = 3y - 4
<em><u>Subtract 2y from both sides.</u></em>
38 = y - 4
<em><u>Add 4 to both sides.</u></em>
y = 42
Now that we know the exact value of y, we can plug it back into the original equation.
x - 42 = 15
<em><u>Add 42 to both sides.</u></em>
x = 57
Which question do you need answered or both?
