Answer:
x = 10 and x = -10
Step-by-step explanation:
Given the function
This function is undefied when the denominator equals to 0. Find these values for x:
This means that vertical lines x = 10 and x = -10 are vertical asymptotes (the graph of the function f(x) cannot meet these lines because this function is undefined at x = 10 and x = -10)
Answer:
17
Step-by-step explanation:
We are given the expression find x + 9 if x = 8.
When a certain number has a variable and the value of the variable is known, all you have to do is plug in the variable amount into the equation, therefore :
x is 8 , so we plug in 8 for x
x + 9 =
8 + 9 = 17
It is but it needs to be rearranged to x^2-2x+30
Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
Answer:
a) $340
b) $20
Step-by-step explanation:
a) in the summer (July and August) he earned 160 + 180 = $340
b) in July he earned 160 ÷ 8 = $ 20
