Remark
The idea here is to take any two successive terms and divide one by the other. which is the divisor and which the dividend will be discussed below.
Step One
Set up the ratio for the common ratio between terms that come one after another.
Mathematically this is written as
r =
So just to see how this looks
t_(n + 1) = 3
t_n = 9
r =
r = 1/3
Does this work for other examples? Let's try a more complicated looking one.
t_(n) = 1/9
t_(n+1) = 1/27
r = t_(n + 1) / t_n
r =
r =
r = 1/3
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:
mYW = 151°
Step-by-step explanation:
∠XWY is an inscribed angle because it has a vertex on the circle. This means that m∠XWY is half of the arc it intercepts, which is XY. We can model the situation using an equation:
m∠XWY = mXY / 2
37° = mXY / 2
mXY = 74°
All arcs in a circle add up to 360°. Because of this, we can say:
mXY + mYW + mWX = 360°
74° + mYW + 135° = 360°
209° + mYW = 360°
mYW = 151°
Answer:
D
Step-by-step explanation:
perimeter of square = 4 length of its sides
x represents the side lengths
y represents the perimeter of the a square
y = ax + b
a = slope = y2-y1 / x2 -x1
= 8-4 / 2-1 = 4
y = 4x + b
from any point (1,4 )
4 = 4 .(1) + b
b= 0
y = 4x