Answer:
p = 10.8
Step-by-step explanation:
Given that p is directly proportional to (p-1)² and p is always positive, then;
q = k (p-1)²
If q = 30 and p = 7
30 = k(7-1)²
30 = 6²k
30 = 36k
5 = 6k
k = 5/6
To get p when q = 80
q =k (p-1)²
80 = 5/6((p-1)²
480 = 5(p-1)²
480/5 = (p-1)²
(p-1)² = 96
p-1 = √96
p-1 = 9.8
p = 9.8 + 1
p = 10.8
B) 6
Ch 10.82
This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:
Plan I: Y=38+0.11X
Plan II: Y=49+0.07X
When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25
Answer:
CE = 3.5
Step-by-step explanation:
<u>10 = 5</u>
25 = x
x = 12.5 perimeter of DCE
4+5+x=12.5
x = 3.5
Answer:
D. (x, y) → (x, −y)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
The orientation shows how an object is arranged. Rotation, translation and dilation preserves orientation while reflection does not preserve orientation.
The transformation (x, y) → (4x, 4y) shows the dilation by a scale factor of 4. Dilation preserve orientation.
The transformation (x, y) → (−y, x) shows the rotation of a point 90 degrees counterclockwise. Rotation preserve orientation.
The transformation (x, y) → (14x, 14y) shows the dilation by a scale factor of 14. Dilation preserve orientation.
The transformation (x, y) → (x, −y) shows a reflection over the x axis. Reflection does not preserve orientation.
32.563 is the sum of all the numbers
