Answer:
(9,72)
Step-by-step explanation:
Since both equations equal y, set the equations equal to each other and solve for x.
8x=2x+54 Subtract 2x from both sides
6x= 54 Divide both sides by 6
x=9
Substitute x=9 into either equation and solve for y
y=8(9)
y=72
Answer:
1. -5.5 2. 5 3. 5, 5.5
Step-by-step explanation:
For #1 just look at what point it would be towards the y- axis.
For #2 you want to kinda estimate what it would be between.
And lastly #3 they want to see the exact coordinates for Q so, look at the x axis first they the y axis. Remember Run then Jump
The answer of the question is C
<h3>
Answer: x^2-3x+36</h3>
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Explanation:
The larger rectangle has area of (x+1)(x+1) = x^2+2x+1 through the use of the FOIL rule or distribution
If you use distribution, then it might help to let y = x+1 so we'd have y(x+1) lead to xy+1y which becomes x(x+1)+1(x+1). From there it might be easier to see how to get x^2+2x+1 after everything distributes again and simplifies.
The smaller rectangle has area 5x-35 which is found by distributing 5(x-7)
To get the shaded area, we subtract the two rectangle areas found above
shaded area = (larger area) - (smaller area)
shaded area = (x^2+2x+1) - (5x - 35)
shaded area = x^2+2x+1 - 5x + 35
shaded area = x^2-3x+36
(C)
Step-by-step explanation:
The volume of the conical pile is given by
Taking the derivative of V with respect to time, we get
Since r is always equal to h, we can set
so that our expression for dV/dt becomes
Solving for dh/dt, we get
