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3 years ago

I really need help If AD = 12 and AC = 4y-36, find the value of y

Mathematics

1 answer:

Mice21 [21]3 years ago

8 0

Notice the tickmarks

AD = DC

now AC, which is the whole length from side to side,
is 4y-36
AD is 12, and since DC is the same as AD, so
DC = 12

AC = AD + DC, or 12 + 12
now, we know AC is also 4y-36

so $\bf \begin{array}{cccccclllllll}
AC&=&AD&+&DC\\
\downarrow &=&\downarrow &&\downarrow \\
4y-36&=&12&+&12\\

\\ \quad \\ \quad \\
4y-36&=&&24

\end{array}$

solve for "y"

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Answer:

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Part B) The constant of proportionality is $k=0.25$

Part C) The equation is $y=0.25x$

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Step-by-step explanation:

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we know that

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Let

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$y/x=k$

if the number of acres of corn increases then the number of acres of soybeans increases

if the number of acres of corn decreases then the number of acres of soybeans decreases

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Part B) What is the constant of proportionality?

we have that

For x=200, y=50

substitute

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Part C) Let x equal the number of acres of corn and y equal the number of acres of soybeans. Write an equation to show this relationship.

The linear equation that represent the direct variation is equal to

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we have

$k=0.25$

substitute

$y/x=0.25$

$y=0.25x$

Part D) How many acres of soybeans can the farmer plant this year if he plants 250 acres of corn?

For x=250

Find the value of y

substitute in the linear equation the value of x and solve for y

$y=0.25(250)=62.5$ -----> acres of soybeans

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