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3 years ago

Will give brainliest to correct answer.

Mathematics

1 answer:

Kobotan [32]3 years ago

8 0

Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.

Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
= 4(x^2+3x) + 9, or
= 4x^2 + 12x + 9 = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3). Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.

c=2x+3 is the correct answer.

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What is the slope of the line that passes through (4,26) and (-45,22.)

dusya [7]

It is 1/11 or 4/44.

Explained:

This is because when you subtract 26 and 22 you get 4 and when you subtract 4 and -45. The 45 then becomes a positive since when you get a negative and a negative you get a positive. Then you simplify it by 11.

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3 years ago

What is the approximate volume of the cone?

Mnenie [13.5K]

Answer:

A. 1206 cm³

Step-by-step explanation:

We have a cone and are asked to find the approximate volume of it.

Keep in mind we are using π for 3.14

The forumla of a cone is V = πr² $\frac{h}{3}$

We know the radius = 12

and the height = 8

Substitute :

V = π12² $\frac{8}{3}$

Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:

V = $\frac{2^4*3^2*8\pi }{3}$

Cancel the common factor - 3 :

V = $2^4 * 8 * 3\pi$

Multiply 8 and 3π :

V = $2^4 * 24\pi$

Solve the exponent :

V = $16 * 24\pi$

Multiply :

V = $384\pi$

Multiply for the final answer :

1205.76 cm³

which can be rounded up to

A. 1206 cm³

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3 years ago

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Mumz [18]

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Step-by-step explanation:

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3 years ago

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icang [17]

Answer:

Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.

Step-by-step explanation:

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3 years ago

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