Answer:
(12, 40)
Step-by-step explanation:
The first thing is to assume that we have a point with the following coordinates (x, y).
Now, we can have two different cases since the meaning of the expansion of a point is moving to a new point that is a greater distance from the origin if we are expanding by a value, that is, an integer in the system of coordinates and the other case is that if we are dilating by a fraction that is between 0 <x <1, then the distance from the origin decreases.
Now, the point (x, y) goes through an expansion by a scale factor f (with the origin as the expansion point), then the new coordinate of the point = [f * x, f * y], that scale factor has the value of 3, so if we replace we have:
(3 * 4, 4 * 10) = (12, 40)
Answer:
The change in available disk space is −6% per episode
Step-by-step explanation:
Given that :
Available disk space changed from 81% to 9% after recording 12 episodes of a show
Each episode requires the same amount of disk space
Change in disk space =
Final % = 9%
Initial percentage = 81%
Change = final value - initial value :
(9 - 81)% = -72%
72% reduction in disk space
Space taken up per episode :
Reduction in space / number of episodes
= -72% / 12
=- 6%
Answer: 41.48
Explanation: you have to add the two 5.99 to the bill she already has and you get $41.48
Answer: x = 15; y = 32; z = 2.5
see in the picture, u can see that this parallelogram has a right angle and two adjacent equal edges.
=> this parallelogram is a square
=> the diagonal lines of the parallelogram are perpendicular to each other
=> m∠1 = 90°
⇔ 3y - 6 = 90
⇔ 3y = 96
⇔ y = 32
because this is a square
=> 3x = 18z = 45°
=> x = 15
z = 2.5
Step-by-step explanation:
