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Semenov [28]
3 years ago
11

A picture has an area of 35cm and is 7cm long.An enlargement of the picture is made is 21cm long.Find the area of the enlargemen

t​
Mathematics
1 answer:
marta [7]3 years ago
6 0

Answer: The area of the enlargement is 315cm.

Step-by-step explanation:

If the picture has 35cm as the area and it has a length of 7cm  then we can find the width by dividing the area by the length.

w= 35/7

w =  5      

So in this care the width of the picture in 5cm.

Now is saying that the picture's length has been enlarge or been dilated to 21 cm. To get from 7cm to 21cm you will have to multiply  by 3.  

In this situation, we will have to multiply the original picture's width by 3 to find it enlargement.

w= 5*3 = 15  

The width is 15cm and the length is 21cm so multiply them to find the area.

A = 15 * 21

A = 315cm

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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The coefficient of x is the slope of the line , So the slope of the above equation is -3 .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Remember from now on ,

Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .

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We have following equation to find the point-slope form of the linear functions :

y - y(0) = m(x - x(0))

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y - 8 =  \frac{1}{3} x \\

Add sides 8

y =  \frac{1}{3} x + 8 \\

Done....

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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