Answer:
segment AB over segment A double prime B double prime = the square root of 13 over 2 times the square root of 13
Step-by-step explanation:
Triangle ABC has vertices at points A(-3,3), B(1,-3) and C(-3,-3).
1. Reflection over x = 1 maps vertices A, B and C as follows
- A(-3,3)→A'(5,3);
- B(1,-3)→B'(1,3);
- C(-3,-3)→C'(5,-3).
2. Dilation by a scale factor of 2 from the origin has the rule
(x,y)→(2x,2y)
So,
- A'(5,3)→A''(10,6);
- B'(1,3)→B''(2,6);
- C'(5,-3)→C''(10,-6)
See attached diagram for details
Note that
so
We are told that Emerson struck out 112 times in 350 at-bats. We are asked to find the percent of strike outs per at-bat.
Let us find out 112 is what percent of 350.
Therefore, Emerson struck out 32% of the at-bats.
For this case we have the following function:
f (x) = (1/3) * (4 ^ x)
We must evaluate the function for x = 2
We have then:
f (2) = (1/3) * (4 ^ 2)
Rewriting:
f (2) = (1/3) * (16)
f (2) = 16/3
Answer:
The function evaluated at x = 2 is:
f (2) = 16/3
option A
Subtract 13 from both sides:
Divide both sides by -5. Since this is a negative number, you have to invert the inequality sign:
Which means
