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2 years ago

9(5x + 1) ÷ 3y

Mathematics

1 answer:

Ket [755]2 years ago

3 0

sum - (5x+1) two things added together creates a sum

term - 9, 5, x, 1, 3, or y

factor - 9 is factored out of the (5x+1)

quotient - the whole expression is the quotient; it's the result of a division problem.

coefficient - 5 of 5x

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How is the "subtraction method" used to derive the formula for volume of a cylinder?

NikAS [45]

Answer:

The subtraction method is used to find the volume of the cylinder by recalling that the volume of the cylinder consist of the volume of the cone and the volume of the sphere.

Step-by-step explanation:

In the subtraction method, we have that a cylinder of radius r, equal to that of a circle, and height 2·r consist of a cone of base radius r and height 2·r and a sphere of radius r as follows;

Volume or sphere of radius r = Volume of cylinder of radius r and height 2·r - Volume of cone of base radius r and height 2·r

∴ 4/3·π·r³ = Volume of cylinder of radius r and height 2·r - 2/3·π·r³

Hence, volume of cylinder of radius r and height 2·r = 4/3·π·r³ + 2/3·π·r³ = 2·π·r³

Hence the subtraction method is used to find the volume of the cylinder by recalling that the volume of the cylinder consist of the volume of the cone and the volume of the sphere.

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2 years ago

I have a question about polynomial division it is in the picture

Cloud [144]

To answer this question, we have to do the long division process for polynomials. We can do the operation as follows:

To do this division process, we have:

1. Divide the first term of the dividend by the first element of the divisor. They are:

$\frac{-4x^3}{4x^2}=-x$

2. Now, we have to multiply this result by the divisor, and the result will change its sign since we have to subtract that result from the dividend as follows:

$-x\cdot(4x^2_{}-4x-4)=-4x^3+4x^2+4x$

And since we to subtract this result from the dividend, we end up with:

$-(-4x^3+4x^2+4x)=4x^3-4x^2-4x$

3. Then we have the following algebraic addition:

$\frac{\begin{cases}-4x^3+24x^2-15x-15 \\ 4x^3-4x^2-4x\end{cases}}{20x^2-19x-15}$

4. Again, we need to divide the first term of the dividend by the first term of the divisor as follows:

$\frac{20x^2}{4x^2}=5$

5. And we have to multiply 5 by the divisor, and the result will be subtracted from the dividend:

$5\cdot(4x^2-4x-4)=20x^2-20x-20$

Since we have to subtract this from the dividend, we have:

$-(20x^2-20x-20)=-20x^2+20x+20$

6. And we have to add this algebraically to the dividend we got in the previous step:

$\frac{\begin{cases}20x^2-19x-15 \\ -20x^2+20x+20\end{cases}}{x+5}$

And this is the remainder of the division, x + 5.

As we can see from the division process, we got as:

1. The quotient: -x + 5

$q=-x+5$

2. The remainder: x + 5.

$R=x+5$

Since we have that the dividend = divisor * quotient + remainder.

Therefore, the result for this division is:

$-4x^3+24x^2-15x-15=(4x^2-4x-4)\cdot(-x+5)+(x+5)$

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7 months ago

I WILL MARK BRAINLIEST

never [62]

Answer:

Step-by-step explanation:

The tuna can has a shape of a cylinder, and the area of the tuna lablel is the lateral surface area of the can

$A=2\pi rh$

Data

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radius r = $\frac{diameter}{2}$ = $\frac{6.5}{2} = 3.25cm$

height h= 3cm

leteral surface area

$A=2*3.142*3.25*3\\= 61.269\\=61.27cm^2$

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2 years ago

A line passes through the point (-4,-8) and has a slope of -5/2.

kogti [31]

Here you go, and please mark brainliest :)

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2 years ago

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Ostrovityanka [42]

Answer:

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Step-by-step explanation:

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2 years ago