Answer:
Step-by-step explanation:
Triangle P is mapped onto Q so P is the initial triangle that will transformed.
We can rotate counterclockwise 90° but we cannot do it about the origin (0,0) because the red point (5, 1) will end up at ( -1, 5) .
We see that the point (5, 1) ends up at ( -2, 4) so the center of rotation is lower than the origin.
The transformation is rotation of 90° about the point (0,-1)
Answer:
d=60°
Step-by-step explanation:
Both angles are equal to each other because they are vertical angles and are therefore congruent.
Basically, the frog only jumps two feet every time, so he would need 8 jumps, because there was still that extra 1/2 of a foot.
Answer:
if 
.
Step-by-step explanation:
. This means when 
.
. This means when 
.
It doesn't matter where the 5 is included since either 
or 
would product 0 at 
.
. This means when 
.
. This means when 
.
The same statement here about 
as I about with the earlier expression.
So anyways we have .
This means 
can be rewritten as
.
H = Alice's home runs
p = Peter's home runs
p = 2(h - 6)
p + h = 18
Simplified:
p = 2h - 12
p - 2h = -12
p + h = 18
Solve simultaneously:
p - 2h = -12 ...1
p + h = 18 ...2
1 - 2:
-3h = - 30
h = -30/-3
h = 10
Substitute into 2:
p + h = 18
p + 10 = 18
p = 18 - 10
p = 8
Therefore, Peter hit 8 home runs and Alice hit 10 homeruns.
