Answer:
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- <u>She should aim 6 feet down the wall</u>
Explanation:
The diagram attached sketches the situtation.
Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.
Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:
You have other equation:
Substitute
- 2y + y = 18
- 3y = 18
- y = 18/3
- y = 6 ← this is the distance down the wall where the ball should hit
Then, she should aim 6 feet down the wall.
Answer:
no
Step-by-step explanation:
Proportional must go through (0,0)
0 = 2(0) +7
0 = 7
This is not true so this is not proportional
Answer:
40320 different ways
Step-by-step explanation:
That problem is a permutation one
We have eight people to occupy one position in a team, without any constraint at all
So
Total number of events = P(8)
P (8) = 8!
P (8) = 8*7*6*5*4*3*2*1
P (8) = 40320 different ways
Answer:
-2
Step-by-step explanation:
3-2n=7
-3 -3
-2n=4
divide both sides by -2
n=-2
To find the vertex, you need to find the axis of symmetry first.
In order to find the axis of symmetry we have to do -b/2a.
In our case, the b is -8 and the a is 1.
Plug it in.
-(-8)/2(1)
8/2 = 4
Our axis of symmetry is 4.
Now, we plug it into the equation to find the rest of the vertex.
y = 4^2 - 8(4) + 1
y = 16 - 32 + 1
y = -16 + 1
y = -15
Put it together.
Our vertex is (4,-15).