Area of rectangle = length × width
300 = (x+10) × x
300 = 10x + x^2
Now we have the equation y=x^2 + 10x - 300
We can factor this equation to get our zeroes, which are:
-5(1+sqrt(13)),
5(sqrt(13)-1)
We only use the positive zero because we can't have a negative dimension.
Your width would be:
5(sqrt(13)-1)
Your length would be:
5(sqrt(13)-1) + 10
Answer:
6/5
Step by step explanation:
Here we are provided with a equation which is ,
And we are interested in finding the slope of the line which is perpendicular to the given line. We may rewrite the equation as ,
Recall the slope intercept form of the line which is <u>y</u><u> </u><u>=</u><u> </u><u>mx</u><u> </u><u>+</u><u> </u><u>c</u><u> </u>.On comparing to which we get ,
Again , recall that product of slopes of two perpendicular lines is -1. So that ,
Hence ,
And we are done !
Answer:
x = ± <u>-2</u>
<u>_</u>
3
Step-by-step explanation:
Combine Like Terms - 2x(3x) = 16
Calculate - 6x² = 16
Divide - x² = 8/3
Simplify - x = ± <u>-2</u>
<u>_</u>
3
Answer:
V = 32/3 pi
Step-by-step explanation:
The volume of a sphere is given by
V= 4/3 pi r^3
We know the radius is 2
V = 4/3 pi (2)^3
V = 4/3 pi (8)
V = 32/3 pi