The two equations are vertical angles, which mean they are equal.
Set each equation to equal each other and solve for x.
3x-3 = 6(x-10)
Simplify the right side:
3x-3 = 6x-60
Subtract 3x from each side:
-3 = 3x - 60
Add 60 to each side:
57 = 3x
Divide both sides by 3:
x = 57 / 3
x = 19
Answer:
1. -5.5 2. 5 3. 5, 5.5
Step-by-step explanation:
For #1 just look at what point it would be towards the y- axis.
For #2 you want to kinda estimate what it would be between.
And lastly #3 they want to see the exact coordinates for Q so, look at the x axis first they the y axis. Remember Run then Jump
The average rate of change obtained from the ratio of change in y to the change in x is 27
The average rate of change can be obtained using the relation :
Rate of change = (y2 - y1) ÷ (x2 - x1)
at; x1 = -3
y1 can be calculated from the function ;
y1= 3(-3³)-1
y1=-82
At ; x2 = 3
y2 can be calculated from the function ;
y2 = 3(3³)-1
y2=80
The rate of change can be calculated thus : (y2 - y1) ÷ (x2 - x1)
[80-(-82)]/[3-(-6])
162/6
27
Learn more about the average rate of change here:
brainly.com/question/18550782
#SPJ1
Answer:
All the coordinates are changed to
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Given - A triangle is to be dilated with the origin as the center of dilation and with a scale factor of 2.
To find - Which answer choice correctly maps this dilation algebraically?
Proof -
Let ABC is a triangle where A, B, C are the vertices of the triangle respectively.
Now,
Let the coordinates be (x, y)
If a triangle is to be dilated with the origin as the center of dilation and with a scale factor of a , then the coordinated be changes as
(x, y) ⇒ (ax, ay)
Here given , a = 2
So, all the coordinates are changed to
(x, y) ⇒ (2x, 2y)
