The independent variable is the cost of the skateboard, c.
The dependent variable would be the total cost, t.
The best way to understand this is that the cost of the skateboard from the company is not going to change based on a sales tax rate., But the overall total cost could change depending on what the sales tax rates are.
The total cost would be dependent upon the sales tax rate.
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Let L = lengthLet W = width Length is 5 yd less than twice the width ==> L = 2*W - 5 Area is 52 yd^2 ==> 52 = L*W Substitute the value for L from the 1st equation into the 2nd equation
52 = (2*W - 5) * W52 = 2*W^2 - 5*W0 = 2*W^2 - 5*W - 52 0 = (2W - 13)*(W + 4) 2W - 13 = 0 or W + 4 = 0W = 13/2 or W = -4 Width cannot be negative so discard W = -4 W = 13/2 ==> L = 2*(13/2) - 5 = 13 - 5 = 8 So the width is 13/2 yards and the length is 8 yards Check: 2*(13/2) - 5 = 13 - 5 = 8 (13/2)*8 = 4*13 = 52 yd^2
For this case what we should do is use the Pythagorean theorem.
We have then:
PQ ^ 2 = 15 ^ 2 + 19 ^ 2
Clearing we have:
PQ = root (15 ^ 2 + 19 ^ 2)
Answer:
The expression used to find PQ is given by:
PQ = root (15 ^ 2 + 19 ^ 2)
option C
