Given the polynomial expression:
(y + 5)²
(y - 5)(y + 5)
Let's simplify each of the given expression:
a.) (y + 5)²
The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.

We get,


b.) (y - 5)(y + 5)
To be able to simplify the following expression. We will be using the formula for the difference of two squares.

We get,

9514 1404 393
Answer:
8
Step-by-step explanation:
The Pythagorean theorem tells you of the relation ...
x² + 6² = 10² . . . . . . . . . squares of sides total to the square of hypotenuse
x² = 100 -36 = 64 . . . . . subtract 6²
x = √64 = 8 . . . . . . . . . . square root
The length of side x is 8 units.
Answer: 267.947 (or 267.95) inches^3
Step-by-step explanation:
The formula for the volume of a sphere is
.
To find your radius (r), divide the diameter of 8 inches by 2. <em>The radius is 4 inches.</em>
Plug in your numbers to the volume equation to get
. The first step is to cube 4 (4*4*4) to get <em>64</em>. Now your equation is
.
Multiply 3.14 and 64 to get <em>200.96</em>. The equation is now
or
.
Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of
.
Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.
Answer:
1:3
Step-by-step explanation:
12/36=1/3