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2 years ago

Find the volume of the cone.

Mathematics

1 answer:

horrorfan [7]2 years ago

6 0

Answer:

Step-by-step explanation:

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Simplify 3 - (2-8).

lakkis [162]

Answer: 9

Step-by-step explanation:

2 - 8 = -6

3 - -6 = 9

6 0

2 years ago

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A 15-foot ladder is leaning against a 30-foot wall. The bottom end of the ladder is 9 feet from the wall. How many feet above th

lana [24]

The answer is 12 feet tall... look at pic

6 0

3 years ago

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Find the limit (enter 'DNE' if the limit does not exist)

vaieri [72.5K]

Answer:

$\lim\limits_{(x,y)\rightarrow(0,0)}\left(\sqrt{-2x^2-6y^2+1}+1\right)=2$

Step-by-step explanation:

We need to first simplify the expression using rationalization(i.e. if a square root term exists in the denominator, then multiply and divide the whole expression by the denominator(but the change the sign of its middle term))

here, we need to find:

$\lim\limits_{(x,y)\rightarrow(0,0)}\left(\dfrac{-2x^2-6y^2}{\sqrt{-2x^2-6y^2+1}-1}\right)$

first we'll rationalize our expression:

$\dfrac{-2x^2-6y^2}{\sqrt{-2x^2-6y^2+1}-1}\left(\dfrac{\sqrt{-2x^2-6y^2+1}+1}{\sqrt{-2x^2-6y^2+1}+1}\right)$

$\dfrac{-(2x^2+6y^2)(\sqrt{-2x^2-6y^2+1}+1)}{(\sqrt{-2x^2-6y^2+1}+1)^2-(1)^2}$

$\dfrac{-(2x^2+6y^2)(\sqrt{-2x^2-6y^2+1}+1)}{-2x^2-6y^2+1-1}$

$\dfrac{-(2x^2+6y^2)(\sqrt{-2x^2-6y^2+1}+1)}{-(2x^2+6y^2)}$

$\sqrt{-2x^2-6y^2+1}+1$

this is our simplified expression, now we can apply our limits:

$\lim\limits_{(x,y)\rightarrow(0,0)}\left(\sqrt{-2x^2-6y^2+1}+1\right)$

$\sqrt{-2(0)^2-6(0)^2+1}+1$

$1+1$

$2$

the limit does exists and it is 2.

5 0

2 years ago

Write an equation parallel to x - 2y = 4 that passes through the point (-8, 2).

castortr0y [4]

Answer:

y=1/2x+6

Step-by-step explanation:

Change to slope intercept form: y=1/2x-2

Take out the b term

Plug in point (-8, 2)

Get b as 6

Plug in b

Get y=1/2x+6

7 0

2 years ago

Simplify, and then write in exponential form. Do not evaluate.<br> (7^2)^4

melamori03 [73]

Answer:

7^8

Step-by-step explanation:

(7^2)^4

We know a^b^c = a^(b*c)

(7^2)^4 = 7^(2*4)

= 7^(8)

7 0

3 years ago

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