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defon
3 years ago
11

If the zeros of a polynomial function are 3 and -4, using the Factor Theorem how would we express the factors of the function? *

Mathematics
1 answer:
amid [387]3 years ago
7 0

Step-by-step explanation:

Zeros of a polynomial function are 3 and -4.

So, factors are, x-3 and x+4

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The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate
Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}

Volume of cone =

V = \dfrac{1}{3}\pi r^2 h

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})

Putting values, we get,

\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

5 0
3 years ago
A 20-foot ladder leaning against a wall is used for each a window that is 17 feet above the ground. How far from the wall is the
zlopas [31]
We know that the building must form a right angle with the ground, so the triangle formed by the ladder, the wall, and the distance between the base of the ladder and the wall is a right triangle. We can use the Pythagorean theorem to find the distance the ladder is from the building.
a^2 + b^2 = c^2
We know that the ladder is the hypotenuse because it is opposite the right angle.
a^2 + b^2 = 20^2
Substitute the length of the other side and solve.
a^2 + 17^2 = 20^2
a^2 + 289 = 400
a^2 = 111
The distance from the wall to the bottom of the ladder is the square root of 111 or approximately 10.5357 feet
5 0
2 years ago
Look at the rational expression below. x^2-4/2-x Which value of x makes the expression undefined?
Andreas93 [3]
The answer would 2, since you cannot divide anything by 0 as it would be undefined. 2 is the only number that gives you this option 
4 0
2 years ago
Read 2 more answers
If theperimeter of the triangle ABC is 23, find the length of each side.
aalyn [17]
You can't.
There isn't enough evidence/proof to prove the length of each side.<span />
6 0
3 years ago
What numbers will i multiply to get 126 and add to get 2​
nekit [7.7K]
No two numbers will work for this.
5 0
3 years ago
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