Question 1:Look at the image.
First, we graph the points on a grid.
Then, we find the perpendicular bisectors and find where they intersect.
They intersect on the circumcenter of the triangle.
The circumcenter is (5,3)
Question 2:The answer is III only because the perpendicular bisector for the longest side will always have to point outside the triangle in order to intersect with the other two perpendicular bisectors.
Question 3:The answer is a perpendicular bisector because it is a perpendicular line that bisects a side of the triangles, which is the exact definition of a perpendicular bisector.
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30-(increase/0.5)*2=sold
i*s=revenue
i*30-(i^2/0.5)*2=r
I=7.5=>r=0
i=7=>r=14
7/0.5=15 number of increases in the cost
Answer:
X = -2, Y = 13
X = 0, Y = 9
X = 2, Y = 5
X = 4, Y = 1
Step-by-step explanation:
Take the value given for X and plug it into the equation. For example, when X = -4, you will make your equation look as follows:
y = -2(-4) + 9
Simplify it:
y = 8 + 9
y = 17
Repeat this process with the rest of the X values to get your Y values.
Answer:
1040
Step-by-step explanation:
20,000 is how much you have and you would multiply 20,000*5.2% or 20,000*.052 (converting a percent to a decimal.)
Given:
Endpoints of segment AB are A(- 18, 5) and B(- 4, 5).
Point Z is located exactly 1/8 of the distance from A to B.
To find:
The value of the x-coordinate of point Z.
Solution:
Point Z is located exactly 1/8 of the distance from A to B.
AZ:AB=1:8
AZ:ZB = AZ:(AB-AZ)= 1:(8-1) = 1:7
It means point Z divided segment AB in 1:7.
Using section formula, the x coordinate of point Z is





Therefore, the required x-coordinate of point Z is -16.25.