Answer: The length is 6 feet and the width is 10 feet.
Step-by-step explanation: The question has specified the area as 60 (square feet) and the length and width are yet unknown. However we know that the length is 4 feet less than the width. What this means is that, if the width is W, then the length is W - 4.
We can now write an equation for the area of the rectangle as follows;
Area = L x W
60 = (W - 4) x W
60 = W^2 - 4W
If we rearrange all terms on one side of the equation, we now have
W^2 - 4W - 60 = 0
This is a quadratic equation and by factorizing, we now have
(W + 6) (W - 10) = 0
Hence,
Either W + 6 = 0 and then W = -6
Or W - 10 = 0 and then W = 10
We know that the side of the rectangle cannot be a negative value, so we go with W = 10.
Having calculated W as 10, the length now becomes
L = W - 4
L = 10 - 4
L = 6
Therefore, length = 6 feet and width = 10 feet
<u>Answer:</u>
-2/3
<u>Step-by-step explanation:</u>
We are to find the slope of a line which is perpendicular of a line with an equation 
.
We know that the slope of line which is perpendicular to another line is the negative reciprocal of that perpendicular line.
So writing the given equation of a line in the slope intercept form:
---> 
Here the slope of this line is 
so the slope of a line which is perpendicular to the given line will be 
.
Answer:
Answer:1296π
Step-by-step explanation:
As we know,
Area of cicle=πr^2
= π(36)^2
=1296π
Step-by-step explanation:
By using Distributive Property on 3(-x - 2),
3(-x - 2) = (3)(-x) + (3)(-2) = -3x - 6.
Since -3x - 6 =/= -3x + 6,
they are not equalized.
Answer:
The farmer should expect to LOSE 10 pounds of soybeans per acre per year
Step-by-step explanation:
f(x)=-x^2 + 20x + 100
just find how many soybeans his land will yield (per acre) after 10 and 20 years:
After 10: 200 pounds of soybeans/acre
After 20: 100 pounds of soybeans/acre
Because 10 years have passed and they lost 100 pounds of soybean production per acre, the farmer should expect to lose 10 pounds of soybeans per acre per year (-10 pounds of soybeans per acre/year)
