Han earns $35.00 for babysitting 4 hours. At this rate how much will he earn if he babysits for 7 hours
2 answers:
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Answer:
Sally is 10 miles
The coordinate ofthe deli is (1, -1)
Step-by-step explanation:
✍️Coordinate of Sally = (-3, 2)
Coordinate of Ocean Front = (5, -4)
The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).
Use the distance formula, , to calculate the distance between (-3, 2) and (5, -4):
✅The distance of Sally is 10 miles
✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.
Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).
Midpoint of (-3, 2) and (5, -4).
Plug in the values
✅The coordinate ofthe deli is (1, -1)
Answer: (A)
(B) Length varies between 1 and 150
(C) Largest area is 22500ft²
Step-by-step explanation: Suppose length is l and width is w.
The rectangular garden has perimeter of 600ft, which is mathematically represented as
Area of a rectangle is calculated as
Now, we have a system of equations:
Isolate w, so we have l:
w = 300 - l
Substitute in the area equation:
A = l(300 - l)
A = 300l - l²
(A) <u>Function of area in terms of length is given by </u><u>A = 300l - l²</u>
(B) The practical domain for this function is values between 1 and 150.
(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:
A' = 300 - 2l
Find the values of l when A'=0:
300 - 2l = 0
2l = 300
l = 150
Replace l in the equation:
w = 300 - 150
w = 150
Now, calculate the largest area:
A = 150*150
A = 22500
<u>The largest area the fence can enclose is </u><u>22500ft².</u>