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2 years ago

Find the area of the triangle with height (x+8) and base (2x+4). (A=1/2bh)

Mathematics

1 answer:

omeli [17]2 years ago

7 0

Answer:

x^2+10x+16

Step-by-step explanation:

Plug in the values

h=x+8

b=2x+4

A=1/2(2x+4)(x+8)

A=(x+2)(x+8)

FOIL: x^2+8x+2x+16

A=x^2+10x+16

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400,000 is the agent Commission

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3 years ago

Given ƒ(x) = 2x2 − 3x + 7, find ƒ(2.5)

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3 years ago

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Keith exercises x hours a week. Troy exercises three hours less than Keith and Joe exercises two times more than Troy. Which exp

muminat

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3 years ago

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Write an equation for the following: y varies directly with x and z. Find K when x=2, y=12 and z=5.

olga_2 [115]

$\qquad \qquad \textit{direct joint variation} \\\\ \textit{\underline{y} varies directly with \underline{x} and \underline{z}}~\hspace{8.5em} \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}xz~\hfill } \\\\ \textit{\underline{y} varies directly with \underline{x}, }w^2\textit{ and }z^5~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}xw^2z^5~\hfill } \\\\[-0.35em] ~\dotfill$

$y = kxz\qquad \textit{we know that} \begin{cases} x=2\\ y=12\\ z=5 \end{cases}\implies 12=k(2)(5) \\\\\\ \cfrac{12}{(2)(5)}=k\implies \cfrac{6}{5}=k~\hspace{10em}\boxed{y=\cfrac{6}{5}xz}$

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2 years ago

Write the equation 5x − 2y = 10 in the form y = mx + b. y equals start fraction five over two end fraction x minus 10 y equals s

vaieri [72.5K]

Answer:

y = 5/2x - 5

Step-by-step explanation:

You have to rearrange the equation so that it is equal to y.

5x - 2y = 10

(5x - 2y) - 5x = -5x + 10

-2y = -5x + 10

(-2y)/-2 = (-5x)/-2 + (10)/-2

y = 5/2x - 5

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3 years ago