Answer:
for a its 9, 3, -6, x<-6
Step-by-step explanation:
Answer:
A. -4 ≤ x ≤ 9
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that our x-values span from -4 to 9. Since both are closed dots, they are included in the domain:
[-4, 9] or -4 ≤ x ≤ 9
Answer:
The answer to your question is x² + y² - 8x - 6y = 0
Step-by-step explanation:
Data
P (1, 7)
Q (8, 6)
R (7, -1)
Use the general equation of the Circle
x² + y² + Dx + Ey + F = 0
Process
1.- Substitute each point in the general equation and simplify
For P
(1)² + (7)² + D + 7E + F = 0
1 + 49 + D + 7E + F = 0
50 + D + 7E + F = 0
D + 7E + F = -50 Equation l
For Q
(8)² + (6)² + 8D + 6E + F = 0
64 + 36 + 8D + 6E + F = 0
100 + 8D + 6E + F = 0
8D + 6E + F = -100 Equation ll
For R
(7)² + (-1)² + 7D - E + F = 0
49 + 1 + 7D - E + F = 0
50 + 7D - E + F = 0
7D - E + F = -50 Equation lll
Solve the system of equations, I do not include the process but the solutions are
D = -8 E = -6 F = 0
-Substitution
x² + y² - 8x - 6y = 0
Using the area of a rectangle, it is found that her patio should have a width of 12 feet and a length of 27 feet.
<h3>What is the area of a rectangle?</h3>
The area of a rectangle of length l and width w is given by:
A = lw.
In this problem:
- She has enough tiles to cover 324 square feet, hence A = 324.
- She wants the length of the patio to be 15 feet longer than the width, hence l = 15 + w.
Thus:
324 = w(15 + w)
w^2 + 15w - 324 = 0
w = -27 or w = 12.
We take the positive value, hence l = 15 + w = 15 + 12 = 27 feet.
The dimensions should be a width of 12 feet and a length of 27 feet.
You can learn more about the area of a rectangle at brainly.com/question/10489198