Answer:
x² + x - 30
Step-by-step explanation:
Given
(x - 5)(x + 6)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 6) - 5(x + 6) ← distribute both parenthesis
x² + 6x - 5x - 30 ← collect like terms
= x² + x - 30
Answer:
Domain
Step-by-step explanation:
Input Values Form the Domain of the Function
Mathematicians call the set of all input values for a function its domain.
Answer:
Center: (4,8)
Radius: 2.5
Equation: 
Step-by-step explanation:
It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
Note that the longest chord is the diameter;
The midpoint of the ends of the diameter gives us the center;
Use the midpoint formula;

The center is at; 
To find the radius, use the distance formula to find the distance from the center to one of the endpoints.
The distance formula is;




The equation of the circle in standard form is given by;

We substitute the center and the radius into the formula to get;


Answer: 720
Step-by-step explanation:
Since we are to list 6 different kinds of Pizza and no condition is attached , this arrangement could be done in 6! ways.
That is
6! = 720
This means that the different kind of pizza could be listed in 720 ways
Answer:
l:6 w:9
Step-by-step explanation:
<u> 54 </u>
1 54
2 27
3 18
6 9