Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.
On this exercise is asked to find the scale factor by which the triangle ABC was
dilated to produce the triangle A'B'C'.
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
As can be see on the picture the dilation produce was an enlargement meaning that the image is larger that the preimage.
Of this form you can discard the choices A and B as possible solutions.
Lets try 5/2 as the possible scale factor:
(x,y)-- (kx, ky)
A(0,2)--(5/2(0),5/2(2))=A'(0,5)
B(2,2)--(5/2(2),5/2(2))=B'(5,5)
C(2,0)--(5/2(2),5/2(0))=C'(5,0)
Lets try 5/1 or 5 as the scale factor:
A(0,2)--(5(0),5(2))=A'(0,10)
B(2,2)--(5(2),5(2))=B'(10,10)
C(2,0)--(5(2),5(0))=C'(10,0)
As said at the beginning of the question the triangle was not only dilated.
After a dilation and a translation, the scale factor of the dilation is letter C or 5/2.
Answer:
2*10 ^6 shoes in 10 years
Step-by-step explanation:
1.81 × 10^4 pairs of shoes each month
1.2 × 10^2 months in 10 years
Multiply these together to determine the number of shoes in 10 years
1.81 × 10^4 * 1.2 × 10^2
We want to estimate so 1.81 is approximately 2 and 1.2 is approximately 1
2 × 10^4 * 1 × 10^2
Multiply the numbers
2*1 = 2
Add the exponent
10 ^ ( 4+2)
10 ^6
Put this back together
2*10 ^6
It is decreased by a factor of 3. You can determine this by realizing that one inch original equals 3.3 feet, but the equals 1.1 feet, and 3.3/1.1 = 3.
Answer: the y-intercept is the starting height of the plant
Step-by-step explanation:
Answer:
<u>(h * h)(10) = 16</u>
Step-by-step explanation:
We should know that: (f*g)(x) = f(x)*g(x)
Given: h(x) = 6 - x
∴(h * h)(x) = (6-x) (6-x) = (6-x)²
To find (h * h)(10), substitute with x = 10 at (h * h)(x)
∴ (h * h)(10) = (6-10)² = (-4)² = 16
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Note: if we want to find (hoh)(10)
(hoh)(x) = h[h(x)] = 6 - (6 - x) = 6 - 6 + x = x
∴ (hoh)(10) = 10
