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3 years ago

(x-3)(x+6)multiply and simplify your answer

Mathematics

1 answer:

enot [183]3 years ago

5 0

Answer:

$x^{2}$ + 9x +18

Step-by-step explanation:

multiply the parentheses together (x × x)=x² and x×6=6x then do 3×x which will equal 3x and then multiply 3 and 6 which is 18

now combine like terms (x²+6x+3x+18)

6+3=9 so now you will have x²+9x+18

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Expressed in degrees, 8pi/3 is equivalent to

enyata [817]

Answer:

To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π . Move the leading negative in −8π3 - 8 π 3 into the numerator. Factor π π out of −8π - 8 π

Step-by-step explanation:

4 0

3 years ago

Find the solution to the system of equations given below using elimination by addition.

mixer [17]

Answer:

x = 7 , y = -1

Step-by-step explanation by elimination:

Solve the following system:

{10 x + 10 y = 60 | (equation 1)

5 x - 5 y = 40 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{10 x + 10 y = 60 | (equation 1)

0 x - 10 y = 10 | (equation 2)

Divide equation 1 by 10:

{x + y = 6 | (equation 1)

0 x - 10 y = 10 | (equation 2)

Divide equation 2 by 10:

{x + y = 6 | (equation 1)

0 x - y = 1 | (equation 2)

Multiply equation 2 by -1:

{x + y = 6 | (equation 1)

0 x+y = -1 | (equation 2)

Subtract equation 2 from equation 1:

{x+0 y = 7 | (equation 1)

0 x+y = -1 | (equation 2)

Collect results:

Answer: {x = 7 , y = -1

3 0

4 years ago

Select the correct answer from each drop-down menu.

emmainna [20.7K]

The figures cone Z and cylinder Y have the same volume.

Explanation:

The formula for volume of the cone Z is given by

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

The formula for volume of the cylinder Y is given by

$\mathrm{V}=\pi r^{2} \mathrm{h}$

Since, it is given that Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.

Thus, substituting $h=3h$ in the formula of volume of the cone Z, we get,

$V=\frac{1}{3} \pi r^{2} (3h)$

Simplifying, we have,

$\mathrm{V}=\pi r^{2} \mathrm{h}$

Hence, the volume of the cone Z = volume of the cylinder Y

Thus, the figures cone Z and cylinder Y have the same volume.

7 0

4 years ago

The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 107 kilometers, and the distance of Earth from the Sun is 1.5

Pani-rosa [81]

1.5×1085.8×107≈0.258×10^1

1.5×1085.8×107≈0.258×10^1
1.5×1085.8×107≈0.258×10
1.5×1085.8×107≈2.58

5 0

4 years ago

Points m,j,l and j lie on a line. Point j is between m and l , ml = 11 , kl=14 , and kj=9. What is mj?

yKpoI14uk [10]

We have points on a number lines, numbers basically, we'll call J, K, L and M.

We're interested in the lengths of line segments, which are the absolute differences of the numbers.

We have J between M and L. Let's say L < J < M.

We have some leeway, let's just pin down L=0. That's the origin of our number line.

Since ML=|M-L|=11 and L<M we conclude M=11. Our inequality is

0 < J < 11.

Now we have KL=|K-L|=|K|=14 so K=14 or K=-14

|KJ|=9.

Case 1: K=14, so 14-J=9 or 14-J=-9 so J=5 or J=23

Case 2: K=-14 so -14-J=9 or -14-J=-9 so J=-23 or J=-5

We choose J=5 as the only one satisfying L < J < M.

L=0, J=5, M=11, K=14, MJ=|M-J|=|11-5|=6

Answer: MJ=6

Let's check ML=11, good, KL=14, good, KJ=9, good.

6 0

3 years ago

(x-3)(x+6)multiply and simplify your answer ​

(x-3)(x+6)multiply and simplify your answer