ANSWER
(-1, 8)
EXPLANATION
First we have to find the rule for this translation.
The image of the x-coordinate of the given point is 2 untis more than the point, so the rule for the horizontal translation is to add 2.
The image of the y-coordinate of the given point is 4 units more than the point, so the rule for the vertical translation is to add 4:
Therefore, the image of point (-3, 4) under the same translation is:
By definition, the area is given by:
Where,
w: width
l: length
We have two expressions for the length:
Since the length is the same, we equate both expressions:
From here, we clear the value of c:
Then, we have that the width is given by:
Substituting the value of c we have:
Finally, the area is given by:
Answer:
he should order 140 square feet
Answer:
Step-by-step explanation:
This derivative consist in the sum of three functions: ,
and
. According to differentiation rules, the derivative of a sum of functions is the same as the sum of the derivatives of each function. That is:
Now, each derivative is found by applying the derivative rules when appropriate:
Given
(Derivative of a arcsine function/Chain rule)
Given
(Derivative of a power function)
Given
(Derivative of a power function)
(Derivative for a sum of functions/Result)