The answer is letter B. The image shows a relection because it is just the same as the original. Reflection is a transformation that gets the 2nd image just the same as the original. The transformation of DEFG is just the same as D'E'F'G'.
Answer:
xit the problem
Step-by-step explanation:
Since complementary angles add up to 90 degrees, we simple take
and simplify it to
°
Answer:
D. F(x) = 2(x-3)^2 + 3
Step-by-step explanation:
We are told that the graph of G(x) = x^2, which is a parabola centered at (0, 0)
We are also told that the graph of the function F(x) resembles the graph of the function G(x) but has been shifted and stretched.
The graph of F(x) shown is facing up, so we know that it is multiplied by a <em>positive</em> number. This means we can eliminate A and C because they are both multiplied by -2.
Our two equations left are:
B. F(x) = 2(x+3)^2 + 3
D. F(x) = 2(x-3)^2 + 3
Well, we can see that the base of our parabola is (3, 3), so let's plug in the x value, 3, and see which equation gives us a y-value of 3.
y = 2(3+3)^2 + 3 =
2(6)^2 + 3 =
2·36 + 3 =
72 + 3 =
75
That one didn't give us a y value of 3.
y = 2(3-3)^2 + 3 =
2(0)^2 + 3 =
2·0 + 3 =
0 + 3 =
3
This equation gives us an x-value of 3 and a y-value of 3, which is what we wanted, so our answer is:
D. F(x) = 2(x-3)^2 + 3
Hopefully this helps you to understand parabolas better.
Answer:
184800 times
Step-by-step explanation:
The first step is to find out how many times the wheels turn in one foot. The ratio of rotations per minute is 20:140. This can be simplified to 1:7, meaning there is 1/7 of a rotation for every 1 foot.
Next, we need to find out how many times they turn in one mile. The ratio is 1:7, and the 1 needs to become 5280. To do this, multiply both sides of the ratio by 5280. You will get 5280:36960, meaning there is 36960 rotations every mile (the ratio of miles to rotations is 1:36960).
Now, multiply 1:36960 by 5 to get the amount of rotations per every 5 miles. You will get 184800.
Final answer: the wheels turn 184800 times in 5 miles.
