We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)
So, plugging in the values and solving for a and b,
5 + a = -2
a = -8
-4 + b = 1
b = 5
Therefore, the translation is
(x,y) (x - 8, y +5)
Answer: m = -1
Step-by-step explanation:
m = slope
The slope is 1/-1 which is just -1.
Hope this helps!
Answer:
$204
Step-by-step explanation:
The question is at what price x will the company maximize revenue.
The revenue function is:

The price for which the derivate of the revenue function is zero is the price the maximizes revenue:

The company will maximize its revenue when the price is $204.
Answer:
120ft
Step-by-step explanation:
If the bases are 120ft apart from each other you would have to find the distance of going from first to second then to third. Then you divide it in half because you arent going around the diamond, you are cutting right through it.
Answer:
35% chose baseball or soccer
Step-by-step explanation:
baseball or soccer = 20% + 15% = 35%
_____
The categories add to 100%, so are mutually exclusive, as you expect when they are "favorite sport" categories. Hence the union of two of them will be their sum. (Otherwise, you'd have to subtract the amount by which the categories overlap.)