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Pavlova-9 [17]
3 years ago
12

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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Attached below is the detailed solution

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For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.
allochka39001 [22]

It is direct variation if x/y is a constant.

x/y = 2 / -6.6 = -1/3.3

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4 0
3 years ago
Aliza reads 9 pages of a book in 1/3 hour. It takes her the same length of time to read each page. How many pages does Aliza rea
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7 0
2 years ago
P=$222 r=12% Y=10 A=?
sergey [27]
To solve for the A or the principal amount plus interest you can use two formulas:

A = P + I

Where: P = Principal
             I  = Interest

or you can use 

A = P (1+ rt)

Where: P = principal
             r  = rate in decimal
             t  = time in years

With your given you can use the second one, without having to use the first. 
Given that the Principal amount is $222 and the rate is 12% and time is 10 years, we first need to convert your rate into decimal by dividing the value in percent by 100 which will yield 0.12. 

Then now we can just input the data that you know into the formula:
A = P(1+ rt)
   = $222(1 + (0.12)(10))
   = $222(2.2) 
   = $488.40

Your A is then equal to $488.40

If you need to get the simple interest all you need to use is the first formula given:

A = P + I
for the interest you transpose the P to the side of the A and you will get:
I = A - P
  = $488.40 - $222
  = $266.40

$266.40 is the added interest to the principal amount. 
7 0
3 years ago
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