Answer:
(3) y = 4x
Step-by-step explanation:
In order for the equation not to change, the point (0, 0) must be on the original line and so on the line after dilation. The only equation with (0, 0) as a point on the line is y=4x.
Dilation about the origin moves all points away from the origin some multiple of their distance from the origin. If a point is on the origin, it doesn't move. We call that point the "invariant" point of the transformation. For the equation of the line not to change, the invariant point must be on the line to start with.
Answer:
ur
Step-by-step explanation:
dotcom
Answer:
- D(5, 4), E(14, 7), M(9.5, 5.5)
Step-by-step explanation:
As AD = 1/4AB and DE ║ AC, the ratio CE/CB = 1/4, or CE = 1/4CB
<u>Find the coordinates of D:</u>
- x = 1 + 1/4(17 - 1) = 1 + 4 = 5
- y = 5 + 1/4(1 - 5) = 5 - 1 = 4
<u>Find the coordinates of E:</u>
- x = 13 + 1/4(17 - 13) = 13 + 1 = 14
- y = 9 + 1/4(1 - 9) = 9 - 2 = 7
<u>Find the coordinates of the midpoint M of DE:</u>
- x = (5 + 14)/2 = 19/2 = 9.5
- y = (4 + 7)/2 = 11/2 = 5.5
Answer:
565.49 or if rounded to the nearest tenth, 565.5
Explanation:
The formula for finding the volume of a cone is V=1/3Bh
B = pi times the radius squared
h = height
Substitute 6 for r and 15 for h.
V= 1/3·
·(
)·15
Multiply.
V= 565.49 or 565.5 rounded to the nearest tenth.
Answer:
35 cubic feet
Step-by-step explanation:
127 137
If you divide the foam into 2 rectangular prisms, you will get a rectangular prism with dimensions of 1 * 2 * 7, and another prism with dimensions of 1 * 3 * 7. You find the separate volumes of each, and get 14 ft^3, and 21 ft^3. You add these together to get 35 ft^3
