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iogann1982 [59]
3 years ago
6

Find the equation of the line that contains the given point and is parallel to the given line. Write the equation in slope-inter

cept form, if possible.
(12, -3); 5x - 4y = 7
Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

Step-by-step explanation:

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Anton [14]

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6-5 = 7-6

Step-by-step explanation:

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The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t
astraxan [27]

Answer:

Hence, the perimeter of the triangles are:

P=123.2727 dm

P'=102.7272 dm

Step-by-step explanation:

In two similar triangles:

The ratio of the areas of two triangle is equal to the square of their perimeters.

Let A and A' represents the area of two triangles and P and P' represents their perimeter.

Then they are related as:

\dfrac{A}{A'}=\dfrac{P^2}{P'^2}

We are given:

A=72 dm^2  , A'=50 dm^2

and P+P'=226 dm.-----------(1)

i.e. \dfrac{72}{50}=\dfrac{P^2}{P'^2}\\\\\dfrac{36}{25}=\dfrac{P^2}{P'^2}

on taking square root on both the side we get:

\dfrac{P}{P'}=\dfrac{6}{5}\\\\P=\dfrac{6}{5}P'

Now putting the value of P in equation (1) we obtain:

\dfrac{6}{5}P'+P'=226\\\\\dfrac{6P'+5\times P'}{5}=226\\\\\dfrac{6P'+5P'}{5}=226\\\\11P'=226\times 5\\\\11P'=1130\\\\P'=\dfrac{1130}{11}=102.7272

Hence,

P=226-102.7272=123.2727

Hence, the perimeter of the triangles are:

P=123.2727 dm

P'=102.7272 dm

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3 years ago
Solve for x 1/3(3x + 9) =60​
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Congrats on your first question!

Answer: x=57

///////////////////////////////////////////////////////////////////////////////////////////////////////

1/3(3x+9)=60

x+3=60

x=57

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Y

Step-by-step explanation:

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How do u do these percentages questions
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Answer:

Step-by-step explanation:Determine the initial format of the number to be converted to a percentage. ...

Carry out a mathematical process on the number to be converted to a percentage. ...

Multiply the result of the mathematical process by 100. ...

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Multiply the final number by 100.

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