Answer:
This transformation is known as a vertical stretch. This is the graph of a transformation of \begin{align*}y=x^2\end{align*}. The points are plotted from the vertex as right and left one and down one-half, right and left 2 and down two, right and left three and down four and one-half
Answer:
d) 35ft
e) 6 seconds
f) 250°
Step-by-step explanation:
If it makes one rotation (360°) in 36 seconds, then it turns 10° every second.
36 secs = 360°
⇒ 1 sec = 360/36 = 10°
d) After 9 seconds, it has turned:
9 x 10 = 90°
Therefore, it will be 15 + 20 = 35ft from the wall
e) 60° = 6 seconds
f) 25 seconds = 25 x 10 = 250°
Answer:
8 inches
Step-by-step explanation:
Let w represent the width.
If the length is 14 inches longer than the width, it can be represented by w + 14.
Use the perimeter formula, p = 2l + 2w. Plug in 60 as the perimeter and w + 14 as l, then solve for w:
p = 2l + 2w
60 = 2(w + 14) + 2w
60 = 2w + 28 + 2w
60 = 4w + 28
32 = 4w
8 = w
So, the width is 8 inches
Note: Consider we need to find the vertices of the triangle A'B'C'
Given:
Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.
Triangle A,B,C with vertices at A(-3, 6), B(2, 9), and C(1, 1).
To find:
The vertices of the triangle A'B'C'.
Solution:
If triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C', then
Using this rule, we get
Therefore, the vertices of A'B'C' are A'(6,3), B'(9,-2) and C'(1,-1).
sqrt(200) ≈ 14.14213562373095
14 = 14
14/3 ≈ 4.666666666666667
From least-to-greatest:
14/3, 14, sqrt(200)
