Answer:
The side length is 5 yds
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
25 = s^2
Take the square root of each side
sqrt(25) = sqrt(s^2)
5 = s
The side length is 5 yds
Answer:
(3,0) and (-9,0)
Step-by-step explanation:
Answer:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Step-by-step explanation:
Geometrically speaking, the area of a rectangle (
), in square centimeters, is described by following expression:
(1)
Where:
- Width, in centimeters.
- Height, in centimeters.
By Differential Calculus, we find an expression for the rate of change of the area of the rectangle (
), in square centimeters per second:
(2)
Where:
- Rate of change of the width of the rectangle, in centimeters per second.
- Rate of change of the length of the rectangle, in centimeters per second.
If we know that 
, 
, 
and 
, then the rate of change of the area of the rectangle is:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Answer:
For the first question, the answer is 216 and the equation would become just 6^3
For the second, the answer is 9.
Step-by-step explanation:
When there is a negative exponent, that monomial is brought up to the top of the fraction, (the numerator) so 1/6^-3 becomes 1(6^3)/1, or simplified, just 6^3 since divided by one is the same number and times one is the same number. 6 x 6 x 6 is 216.
When there is a negative exponent outside the equation in a <u>fraction,</u> you need to take the reciprocal of the fraction. Since it's squared, it will always be positive, so we can ignore the negative sign. 3/1 (or just 3) to the power of 2 is 9. (3 x 3 is 9).
When explained throughly this might be found confusing, but it's a very easy concept to get after a while.
