The Area of a Square is the square of the measure of one side of the square.
Hence, given the expression for the area of a square, express the given area as the square of an expression to get the measure of one side.
The given expression is:
Rewrite the expression as:
Recall the binomial expansion:
Substituting a=10x and b=8, it follows that the expression becomes:
Since the area of a square is the square of the measure of one side, it follows that the measure of one side from the given expression is 10x-8.
If dey colinear then
AE=AC+CE
so if AE=x+50 and CE=x+32 then
x+50=AC+x+32
minus x both sides
50=AC+32
minus 32 both sides
18=AC
AC=18 units
First you need to change the equation to slope intercept form. You would get
y = 2x - 8
This equation gives us the answers to question c and d. The y intercept is 8 and the slope is 2. Now using this information we can now graph the equation. Since the y intercept is 8 this means that the line you will draw on the graph is going to pass through the y axis at point (0,8). So put a dot 8 spots up from the center. Then from there we use the slope to find the other points. Our slope is 2, so this means that in order to get to the next point you must go up 2 and to the right 1. Once you’ve got your next point continue until you run out of space. The to fill in the line to the left of your first point you have to do the reverse. Go down 2 and to the left 1 until you run out of space. Connect the points. Now for question b notice where your line passes through the x axis (the horizontal line on the graph) and this should be 4 spaces away from the center. Since this point is to the left of the center it’s going to be negative. So your answer would be -4.
Answer:
Step-by-step explanation:
X^2-9^2+y^2-4^2=36
x^2-81+y^2-16=36
x^2+y^2-81-16=36
x^2+y^2-97=36
x^2+y^2=36+97
x^2+y^2=133
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Circle equation
(x - h)^2 + (y - k)^2 = r^2
Since radius isn't given use the center and point, with the distance formula, to find the radius.
D=sqrt((x2-x2)^2+)y2-y1)^2)
D=sqrt((1-0)^2+(2-6)^2
D=sqrt(1+16)
D=sqrt 17
radius = sqrt 17
(h, k) is the center and r is the radius
(x - 1)^2 + (y - 2)^2 = 17