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2 years ago

What is the product?

Mathematics

1 answer:

LenaWriter [7]2 years ago

4 0

Answer:

$21x^{7}y^{11}$

Step-by-step explanation:

Remove the parentheses and take out the constansts.

$(7 x 3) x^{2} x^{5} y^{3} y^{8}$

Simplify 7 x 3 to 21.

$21x^{2} x^{5} y^{3} y^{8}$

Use the product rule: $x^{a} x^{b} = x^{a + b}$

$21x^{2 + 5}y^{3+8}$

Simplify 2+5 to 7.

$21x^{7}y^{3+8}$

Simplfiy 3 + 8 to 11.

$21x^{7}y^{11}$

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2 years ago

The measures of two complementary angles have a ratio of 3:2 what is the meusure of the larger angle

ozzi

Answer:

Step-by-step explanation:

The two angles add to 90 degrees since they are complementary

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Multiply by x

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Add them together and set equal to 90

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Divide each side by 5

5x/5 = 90/5

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2 years ago

Marisa wants to buy a home in Atlanta with a 30-year mortgage that has an annual interest rate of 4.9%. The house she wants is $

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Given :

Marisa wants to buy a home in Atlanta with a 30-year mortgage that has an annual interest rate of 4.9%.

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What is Marisa's monthly mortgage payment to the nearest dollar.

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2 years ago

which of the fallowing functions has a slope 3/2 and contains the midpoint segment between (6, 3) and (-2, 11)?

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Well, we know the slope is 3/2, what's the midpoint of those anyway?

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 6}}\quad ,&{{ 3}})\quad 
% (c,d)
&({{ -2}}\quad ,&{{ 11}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left( \cfrac{-2+6}{2}~~,~~\cfrac{11+3}{2} \right)\implies (2,7)$

so, what's the equation of a line whose slope is 3/2 and runs through 2,7?

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 2}}\quad ,&{{ 7}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=\cfrac{3}{2}(x-2)
\\\\\\
y-7=\cfrac{3}{2}x-3\implies y=\cfrac{3}{2}x+4$

4 0

2 years ago