Answer:
- 1/3
- y-axis
- (1, -2)
Step-by-step explanation:
The length AC is 3, but the corresponding length FD is 1, so the dilation factor is FD/AC = 1/3.
The reflection is a left/right reflection, so it is across a vertical line. We suspect the only vertical line you are interested in is the y-axis. (It could be reflected across x=1/2, and then the only translation would be downward.)
The above transformations will put C' at (1, 0). Since the corresponding point D is at (2, -2), we know it is C' is translated by (1, -2) to get to D.
C' + translation = D
(1, 0) +(1, -2) = (2, -2)
To find the average rate of change, evaluate the function at the given points.
Evaluate the difference of the function at the given points.
Divide the difference of the function at the given points with the difference of the given points.
<h3>
Answer: 1</h3>
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Explanation:
We're given the height in relation to base BC, so we need to find the length of this base. This is the same as finding the distance from B to C.
Turn to the distance formula

Coincidentally, the base and height are the same. This won't always be the case.
Now we can find the area of the triangle

The area of the triangle is 1 square unit.
See diagram below.
Answer:
y = 3x+9
Step-by-step explanation:
The standard form of equation of a line is in the form y = mx + c
m is the gradient
c is the y intercept
Get the y-intercept
Substitute m = 3 and the point (-2, 3) into the formula y = mx+c
3 = 3(-2) + c
3 = -6+c
c = 3+6
c = 9
Get the required equation;
y = 3x + 9
Hence the required equation is y = 3x+9
If you have a ruler I can how you a faster why you do this