Answer:
The answer is 64
Step-by-step explanation:
the answer is A because if he lost 10 pounds that is -10 and gained 10 pounds that is +10. -10 + 10= 0
Answer:
25
Step-by-step explanation:
Substitute 7 into 2, and 11 into y.
2(7)+(11)
14+11
25
Answer:
{-6, 12}
Step-by-step explanation:
Assuming that you meant (1/3), then you have:
(1/3)|3x - 9| - 5 = 4
First, let's combine the -5 and the +4:
(1/3)|3x - 9| = 9
Next, multipy both sides by 3 to eliminate the fraction 1/3:
|3x - 9| = 27
This absolute value equation has two separate parts:
3x - 9 = 27, and
-(3x - 9) = 27.
In the first case, we have x - 3 = 9, or x = 12.
In the second case, we have -3x + 9 = 27, or -3x = 18, or x = -6.
The solution set is {-6, 12}.
Answer:
Step-by-step explanation:
1. Equation of a circle:
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius.
If (h, k) is (2, 8) and r = 10:
(x - 2)² + (y - 8)² = 100
2. The vertex and focus have the same x-coordinate, so this is a vertical parabola. Equation of a vertical parabola is:
y = 1/(4p) (x - h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
If (h, k) is (2, 2) and p = 5-2 = 3:
y = 1/12 (x - 2)² + 2
3. The directrix is a vertical line, so this is a horizontal parabola. Equation of a horizontal parabola is:
x = 1/(4p) (y - k)² + h
The distance between the directrix and the vertex is the same as p.
If (h, k) is (5, 2) and p = 5-3 = 2:
x = 1/8 (y - 2)² + 5