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Naya [18.7K]
3 years ago
8

F(x)=x^2-x-12, find f(x)=-12 *problem b

Mathematics
1 answer:
katrin2010 [14]3 years ago
6 0
Plug in -12 for f(x)!

-12=x^{2}-x-12

Now get the left side equal to zero so you can factor:

0=x^{2}-x

Now you can factor out an x!

0=x(x-1)

So for that to equal zero, x=0 or x=1!

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What is the volume of the right triangular prism shown?
ollegr [7]

<u>Given</u>:

The sides of the base of the triangle are 8, 15 and 17.

The height of the prism is 15 units.

We need to determine the volume of the right triangular prism.

<u>Area of the base of the triangle:</u>

The area of the base of the triangle can be determined using the Heron's formula.

S=\frac{a+b+c}{2}

Substituting a = 8, b = 15 and c = 17. Thus, we have;

S=\frac{8+15+17}{2}

S=\frac{40}{2}=20

Using Heron's formula, we have;

Area = \sqrt{S(S-a)(S-b)(S-c)}

Area = \sqrt{20(20-8)(20-15)(20-17)}

Area = \sqrt{20(12)(5)(3)}

Area = \sqrt{3600}

Area = 36

Thus, the area of the base of the right triangular prism is 36 square units.

<u>Volume of the right triangular prism:</u>

The volume of the right triangular prism can be determined using the formula,

V=\frac{1}{2}A_b h

where A_b is the area of the base of the prism and h is the height of the prism.

Substituting the values, we have;

V=\frac{1}{2}(60\times 15)

V=450

Thus, the volume of the right triangular prism is 450 cubic units.

8 0
3 years ago
Caine
garri49 [273]

Answer:

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3 0
3 years ago
Solve for x.<br> 11x – 32 = 31 + 8x<br> x = [?]
german

Answer:

x = 21

Step-by-step explanation:

11x – 32 = 31 + 8x

11x = 63 + 8x

3x = 63

x = 21

4 0
3 years ago
Please answer the question above and pick an answer choice from the ones provided
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Answer:

1,2 and 4 are equivalents. 3 is not equivalent

2P-I, mark that one :l

Step-by-step explanation:

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2 years ago
What is the equation of line r <br> Write In slope intercept form
Ne4ueva [31]
If line r is parallel to line q, they have the same slope which is -2. You can use the point-slope formula <span>y-y₁=m(x-x₁) and plug in 8 for y and -8 for x. Solve for y to get the equation in slope-intercept form (y = mx + b). "M" is the slope.</span>
4 0
3 years ago
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