Answer:
<h3>
90</h3>
Step-by-step explanation:
The middle number of three consecutive integers is thhe mean of the others, so it is one third of the sum of three consecutive integers
267:3 = <u>89 </u> - the middle number
so:
89 - 1 = 88 - the smallest number
89 + 1 =<u> 90</u> - the largest integer
A. -1/4(x-10)^2
The screenshot shows the graph
You need to get x alone on one side. You need to divide 1/2 on both sides which makes 13 a 26. x<26
Answer:
(x + 4)^2 + (y - 8)^2 = 81
or
(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.
Step-by-step explanation:
The standard form for a circle is
(x + h)^2 + (y + k)^2 = r^2
r is the radius.
You are given the diameter
r = d/2
r = 18/2
r = 9
So you already have the right hand side of the equation
(x + h)^2 + (y + k)^2 = 9*2
(x + h)^2 + (y + k)^2 = 81
You basically have h and k as well. They come from the center point.
h = 4
k = - 8
So the equation of the circle (and the answer) is
(x + 4)^2 + (y - 8)^2 = 81
One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.
It is the distance formula that is actually the formula for the circle.
Reflecting the point (x, y) over the x-axis transforms it to the point (x, -y). Then the points (x, f(x)) on the graph of f(x) will be transformed to (x, -f(x)) when the graph is reflected over the x-axis.
The reflection of the function f(x) = |x| is -f(x) = -|x|. If we name the reflected function f(x), we have
f(x) = -|x|
