Niall owes $187 to his cousin. However, he doesn't have any money right now. He hopes to earn some money by painting a house. He
2 answers:
Answer:
where x>11
Step-by-step explanation:
Niall gets $34 for 2 hours.
So, he gets dollars per hour.
Now he owes $187 to his cousin.
Let the number of hours he works be = x
Let the money left with him after paying his cousin be = y
So, the equation forms:
Rather we can say it is :
where x>11
If we want to know how many hours are needed to pay the debt, we can consider y = 0
So, x = 11 hours
He needs 11 hours of work to pay back his cousin and after that all his earnings is 'y'. When x>11 then 'y' will have some money left.
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Current value of the boat = $45000
Rate at which the value decrease = 8.5%
Value decreased after 1 year =
Hence, value becomes =
Value decreased after 2nd year =
Hence, value becomes =
Value decreased after 3 year =
Hence, value becomes =
So, value of the boat after 3 years becomes $34472.74
the Answer:
Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. The center of dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.
Note:
A dilation is NOT referred to as a rigid transformation (or isometry) because the image is NOT necessarily the same size as the pre-image (and rigid transformations preserve length).
What happens when scale factor k is a negative value?
If the value of scale factor k is negative, the dilation takes place in the opposite direction from the center of dilation on the same straight line containing the center and the pre-image point. (This "opposite" placement may be referred to as being a " directed segment" since it has the property of being located in a specific "direction" in relation to the center of dilation.)
Let's see how a negative dilation affects a triangle:
Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.
Answer: 6.25
Step-by-step explanation:
Because corresponding sides of similar triangles are proportional,