Use A Graph
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Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
Answer:
<h2>LA = 24 ft²</h2>
Step-by-step explanation:
In the base we have the right triangle. Use the Pythagorean theorem for to calculate the hypotenuse:
The Lateral Area is the sum of the areas of three rectangles:
The Lateral Area:
Answer:
Step-by-step explanation:
Let J = Jerry's age
Let M = Mary's age = 2J
M - 16 = J + 16
Substitute 2J for Mary's age
2J - 16 = J + 16
2J - J - 16 = 16
J = 16 + 16
J = 32
Jerry is 32.
Mary is twice as old as Jerry.
Mary is 2(32) = 64
