Answer:
36.2
Step-by-step explanation:
144.8/4 = 36.2
Answer:
Step-by-step explanation:
Answer:
12.995
Step-by-step explanation:
Answer:
1.
2. undefined
3. .
4. .
5. .
6.
Step-by-step explanation:
1. The required line passes through . The slope of the line joining the points is given by the formula,
or
Either of them yields the same result.
Substitute into the first formula to get,
You can write this as a mixed number to obtain:
2. The given line passes through .
Observe that the first coordinates are the same for both points. This implies that, the line is vertical.
The slope of all vertical lines are undefined.
3. The average rate of change of the function on the interval is given by:
.
The given function is
.
.
4. The given function is
.
.
5. From the graph
.
.
.
6. The given equation is :
Add to both sides.
Divide through by 2.
Compare this function to
The slope is
Answer:
A. The dilated line lies on the original line.
Step-by-step explanation:
Dilation changes sizes, but not slopes or angles. The dilated line is guaranteed to have the same slope as the original.
The center of dilation is "invariant" (doesn't move) as a result of the dilation. Here, the point (3, 0) is the center of dilation. It is the x-intercept of the original line, so will also be on the dilated line.
The dilated line has the same slope as the original and goes through a point that the original line goes through. Hence it lies on the original line.
_____
How do you do this question?
1. make use of the properties of dilation, as we have done above.
2. plot some points on the original line—(0, 3) and (3, 0) are the intercepts—apply the dilation, and see where the line goes. (You will find (0, 3) ⇒ (-6, 9), and (3, 0) ⇒ (3, 0). Both are on the original line.)