Answer:
- Center = (3, 0)
- Radius = 3
- Graph = see below
Concept:
Here, we need to know the idea of the circle equation.
Circle equation: (x - h)² + (y - k)² = r²
(h, k) = center
r = radius
x = variable
y = variable
Solve:
<u>Given expression </u>
(x - 3)² + y² = 9
<u>Find the point of the center</u>
(h, k) = 
<u>Find the length of the radius</u>
r² = 9

Hope this helps!! :)
Please let me know if you have any questions
Answer:
40+4.50x+112
16 shoes daily to make his goal
Step-by-step explanation:
to find how much shoes he would have to sell take away 40 from both sides of the equation which would leave you with 4.50x=72 next divide 4.50 out of both sides of the equation x=16 so he would have to sell 16 pairs of shoes a day to meet his goal
Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.
Answer:
Conway is 312.50 miles from Littleton
Step-by-step explanation:
Given

See attachment
Required
Distance between Conway and Littleton
The scale distance between Conway and Littleton is 6.25 inches.
So, the actual distance is calculated as:

Multiply both sides by 6.25


<em>Hence, Conway is 312.50 miles from Littleton</em>