Good idea to look up the formula for "surface area of a sphere" and to write it down for later reference. It is A=4 pi r^2, where r is the radius of the sphere.
If the given sphere has a diameter of 7 cm, what is the radius of this sphere?
Write your answer inside the parentheses, below:
Sphere surface area = 4 pi (r)^2, or (in this case), A = 4(3.14)( )^2
<h3>f(x) = -3·2^(x-1) -1</h3>
- reflection across the x-axis (multiplication by -1)
- vertical expansion by a factor of 3 (multiplication by 3)
- shift to the right 1 unit (replace x with x-1)
- shift down 1 unit (add -1 to the function value)
_____
<h3>f(x) = -1/4·2^(x+1) -1</h3>
You may notice this is the same as the previous question, but with the vertical expansion factor 1/4 instead of 3, and the horizontal shift left instead of right.
- reflection across the x-axis (multiplication by -1)
- vertical compression by a factor of 4 (multiplication by 1/4)
- shift to the left 1 unit (replace x with x+1)
- shift down 1 unit (add -1 to the function value)
Answer:
y = 3x - 5
Step-by-step explanation:
Points on given line: (-3, 2), (0, 1)
m1 = slope of given line; m = slope of perpendicular
Slope of given line = m1 = (y2 - y1)/(x2 - x1) = (2 - 1)/(-3 - 0) = 1/(-3) = -1/3
The slopes of perpendicular lines have a product of -1.
m1 * m = -1
-1/3 * m = -1
m = 3
Slope of perpendicular: m = 3
Point on perpendicular: (3, 4)
y - y1 = m(x - x1)
y - 4 = 3(x - 3)
y - 4 = 3x - 9
y = 3x - 5
Answer: y = 3x - 5
Answer:
sure
Step-by-step explanation:
In this equation q is equal to 1
STEPS:
-8q+6+3q-3 (original equation)
-3q+3 (combine like terms)
3q=3 (move -3q to the other side so you can divide to get what q is. When you move it over to the other side it becomes positive)
q=1 (divided)
