Answer:

Step-by-step explanation:
Let us start by isolating x for dx = x + 9.
dx - x = x + 9 - x > dx - x = 9.
Factor out the common term of x > x(d - 1) = 9.
Now divide both sides by d - 1 >
. Go ahead and simplify.
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Now,
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Group the like terms...
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>
.
Now for
.
.
Now for
.
Thus we then get
.
Now we want to combine fractions.
.



.
Expand
.
.

Therefore
.
Hope this helps!
We know angle P is 90 degrees because of Thales Theorem, and angle N is 60 degrees. Because the angles in a triangle have to add up to 180 degrees, angle PMN has to be 30 degrees.
Angle QMO is half of angle PMN, so it's 15 degrees. Angle MQO is equal to angle QMO because the radii make Triangle OQM isosceles, so angle MQO is 15 degrees.
The average rate of change of h(x) in the closed interval [ a, b ] is
Here [a, b ] = [ - 2, 2 ], thus
f(b) = f(2) = × 2³ - 2² = 1 - 4 = - 3
f(a) = × (- 2)³ - (- 2)² = - 1 - 4 = - 5
average rate of change = = =
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation. Point Form: ( 8 , − 3 ) Equation Form: x = 8 , y = − 3
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Answer:

Step-by-step explanation:
we know that
The surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces plus the two lateral rectangular faces
so
![SA=2[\frac{1}{2}(15)(15)]+2[(30)(15)]= 1,125\ ft^{2}](https://tex.z-dn.net/?f=SA%3D2%5B%5Cfrac%7B1%7D%7B2%7D%2815%29%2815%29%5D%2B2%5B%2830%29%2815%29%5D%3D%201%2C125%5C%20ft%5E%7B2%7D)