Answer:
Step-by-step explanation:
A vertical stretch of a function means the output values have changed by a factor of 3 or multiplication by 3. Recall, an exponential function has the basic form
.
If our equation is , then a=1. To stretch it vertically by a factor of 3, we multiply a by 3. So 1(3)=3. The value of a now becomes 3.
Answer:
Dilation.
Step-by-step explanation:
From the given picture , it can be seen that the size of trapezoid P'Q'R'S' is decreased from trapezoid PQRS .
Reflection , rotation and translation are rigid motions that produces congruent images and do not change the size of the shapes.
But dilation is not a rigid motion because it changes the size of the shape by using a scale factor.
Hence, the transformation maps trapezoid PQRS onto trapezoid P'Q'R'S' is "Dilation".
1/2 + 1/3 = 1/6 or <span>0.166667</span>
A) The dishwasher uses the most energy.
B) The coffee maker produces heat which is a useful form of energy. The machine also produces sound which is an unwanted form of energy. This coffee maker has a voltage of 230V.
C) The power rating (W) is 230 times larger than the current used (A).
Answer:
(1 -2y)(1 +2y)
Step-by-step explanation:
The difference of squares is factored as ...
... a² - b² = (a -b)(a +b) . . . . . . . . a form you should keep handy
Here, you have a=1, b=2y, so your factored form is ...
... 1 -4y² = (1 -2y)(1 +2y)