Answer:
Your answer is b. (2,0) is not a point on the circle.
Step-by-step explanation:
Center of the Circle: (h,k) = (-4,3)
Radius of the Circle: r = 6
Find the points on the circle.
(h + r ,k)
(h - r ,k)
(h , k + r)
(h , k - r)
Answer:
Following are the solution to the given equation:
Step-by-step explanation:
The graph file and correct question are defined in the attachment please find it.
According to the linear programming principle, we predict, that towards the intersections of the constraint points in the viability area, and its optimal solution exists. The sketch shows the points that are (0,16), (3,1), and (6,0).
by putting each point value into the objective function:
Thus, the objective of the function is reduced with a value of 183 at (3,1).
Answer:
35 L
Step-by-step explanation:
Unit rate is 25/5 which is 5 and 5 x 7=35
Answer:
$130.68
Step-by-step explanation:
1 acre = 43,560 square feet
3/4 of 43560 = 32,670 (So that would be 76,230 sq ft in 1.75 acres because 43560 + 32670 = 76230)
We need to divide the total by 35 plots.
76230 / 35 = 2178, using long division.
2,178 square feet is just one plot of 35. We need to multiply 2178 by 0.06.
Answer: $130.68
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Let x = miles traveled by car
Let y = miles traveled by truck.
Because the total distance is 305 miles,
x + y = 305 (1)
Let t = hours of travel by truck. Because the truck speed is 55 mph,
55*t = y
or
t = y/55 (2)
The car has an hour head start, therefore it travels for (t + 1) hours.
Because the car travels at 65 mph,
65*(t + 1) = x
Substitute (2) to obtain
65*(y/55 + 1) = x
or
1.1818y + 65 = x (3)
From (1), obtain
1.1818y + 65 = 305 - y
2.1818y = 240
y = 110
x = 305 - y = 195
From (2),
t = 110/55 = 2 hours
The two vehicles pass each other at 2:00 pm + 2 hours = 4:00 pm
Answer: 4:00 pm