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slamgirl [31]
3 years ago
14

Find the area of traz

Mathematics
1 answer:
kaheart [24]3 years ago
4 0

Answer:

I think 90

Step-by-step explanation:

a+c/2*m

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Answer:a,c,d

Step-by-step explanation:

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Need help with my homework ​
Volgvan

Answer:

\displaystyle y=\frac{16-9x^3}{2x^3 - 3}

\displaystyle y=-\frac{56}{13}

Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}

i)

To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.

We have to make it in steps like follows.

Cube both sides:

\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3

Simplify the radical with the cube:

\displaystyle x^3=\frac{3y+16}{2y+9}

Multiply by 2y+9

\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)

Simplify:

\displaystyle x^3(2y+9)=3y+16

Operate the parentheses:

\displaystyle x^3(2y)+x^3(9)=3y+16

\displaystyle 2x^3y+9x^3=3y+16

Subtract 3y and 9x^3:

\displaystyle 2x^3y - 3y=16-9x^3

Factor y out of the left side:

\displaystyle y(2x^3 - 3)=16-9x^3

Divide by 2x^3 - 3:

\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}

ii) To find y when x=2, substitute:

\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}

\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}

\displaystyle y=\frac{16-72}{16- 3}

\displaystyle y=\frac{-56}{13}

\mathbf{\displaystyle y=-\frac{56}{13}}

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Find the slope of a line that passes through points (-1,-5) and (6,9).
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Answer:

{ \rm{slope =  \frac{y _{2} - y _{1} }{x _{2} - x _{1}  } }} \\  \\ { \rm{slope =  \frac{9 - ( - 5)}{6 - ( - 1)} }} \\  \\ { \rm{slope =  \frac{14}{7} }} \\  \\ { \boxed{ \rm{ \:  \: slope = 2 \:  \: }}}

5 0
3 years ago
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A sugar box manufacturing company is accurately making 100 g packets. Suppose a business researcher randomly selects 100 boxes,
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