Area of a rectangle = length x height
Area = 135
Height = X
Lenght = x +6
135 = x * x+6
Simplify:
135 = x^2 +6x
Subtract 135 from both sides:
x^2 + 6x - 135 = 0
Solve:
2 numbers when added need to equal 6 and when multiplied equal -135
x = 9 and x = -15
The height can't be a negative number so the height is 9
Length = 9 +6 = 15
Height = 9cm, Length = 15 cm
Width = W
Length = 12W - 1
Perimeter = 2L + 2W = 37
In the perimeter equation substitute the length equation in for L to get the equation in terms of W
2L + 2W = 37
2(12W - 1) + 2w = 37
Distribute
2(12W - 1) + 2w = 37
24W - 2 + 2w = 37
26W = 39
W = 3/2 = 1.5
Width = 1.5
Lastly, solve for length
L = 12W - 1
L = (12 • 1.5) - 1
L = 18 - 1
L = 17
Length = 17
Answer:
Which graph's shaded region represents the possible combinations of coffee and tea for this order?
Well, not specific. But after 7 hour the bus will be 210mi away
Answer: It is a continuous random variable.
The amount of rain is a continuous random variable because it can take on all of the numbers on a number line.
For example, the actual amount of rain in April could be 1 inch. Or 1.4 inches. Or 1.45 inches. Or 1.452020980234 inches. There are an infinite possibilities for the amount of rainfall.
