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3 years ago

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use the substitution method to solve the system of equations . choose the correct ordered pairs x+y=5 y=7 A.(12,7) B.(-12,7) C.

(-2,7) D.(2,7)

1 answer:

Alex3 years ago

4 0

Answer:

<em>C. (-2, 7)</em>

Step-by-step explanation:

Put y = 7 to the equation x + y = 5:

x + 7 = 5 <em>subtract 7 from both sides</em>

x = -2

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Find the sum of 10x^2-10x-6 and x+6.

Andre45 [30]

Answer:

10x²−9x

Step-by-step explanation:

10x²−10x−6+x+6

=10x²−10x−6+x+6

Combine Like Terms:

=10x²−10x−6+x+6

=(10x²)+(−10x+x)+(−6+6)

=10x²−9x

Hope this helps!

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2 years ago

12x^2y-32xy+8y factored form

siniylev [52]

Factor the following:
12 x^2 y - 32 x y + 8 y
Hint: | Factor common terms out of 12 x^2 y - 32 x y + 8 y.
Factor 4 y out of 12 x^2 y - 32 x y + 8 y:
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3 years ago

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The two numbers that multiply to 11 and add to -12 are

miss Akunina [59]

Answer:

-11 and -1

Step-by-step explanation:

These are the two numbers that multiply to 11 and add to -12.

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3 years ago

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A cone and a cylinder have the same height and their bases are congruent circles

Anettt [7]

Answer:

$30cm^3$

Step-by-step explanation:

the volume of a cylinder is given by:

$v_{cylinder}=\pi r^2 h$

and the volume of a cone is given by:

$v_{cone}=\frac{\pi r^2 h}{3}$

since both have the same height and radius, we can solve each equation for $r^2h$ (because this quantity is the same in both figures) and then match the expressions we find:

from the cylinder's volume formula:

$r^2h=\frac{v_{cylinder}}{\pi}$

and from the cone's volume formula:

$r^2h=\frac{3 v_{cone}}{\pi}$

matching the two previous expressions:

$\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}$

we solve for the volume of a cone $v_{cone}$ :

$v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}$

substituting the value of the cylinder's volume $v_{cylinder}=90cm^3$

$v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3$

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3 years ago

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Find f(h(-1))<br> 2<br> -9<br> 11<br> -11

kumpel [21]

Answer:

(d) -11

Step-by-step explanation:

Each of the functions is evaluated in the usual way: put the number where the variable is in the expression and simplify.

h(-1) = -2(-1)² -3(-1) +1 = -2 +3 +1 = 2

f(2) = (2(2) +7)/(2 -3) = 11/-1 = -11

Then f(h(-1)) is ...

f(h(-1)) = f(2) = -11

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2 years ago