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r-ruslan [8.4K]
2 years ago
12

The perimeter of a rectangle is 158 cm. If the length is 7 more than 3 times the width:

Mathematics
1 answer:
Goryan [66]2 years ago
8 0
Width of rectangle = x
Length =3x+7
Perimeter of rectangle = 158cm
2(l+w)=158
2(3x+7+x)=158
2(4x+7)=158
8x+14=158
8x=158-14
x=144/8
x=18
Therefore the width of the rectangle is 18cm
Length=3x+18+7
54+7=61cm
Area=lxw
=61x18
=1098^2
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3 years ago
What is the equation of the line parallel to 3x + 5y = 11 that passes through the point (15, 4)?
soldier1979 [14.2K]

Answer:

The answer is

<h2>y =  -  \frac{3}{5} x + 13</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is 3x + 5y = 11

We must first write the equation in the general equation above

So we have

5y = - 3x + 11

Divide both sides by 5

<h3>y =  -  \frac{ 3}{5} x +  \frac{11}{5}</h3>

Comparing with the general equation above

Slope = - 3/5

Since the lines are parallel their slope are also the same

Slope of parallel line = - 3/5

So the equation of the line using point

(15, 4) and slope - 3/5 is

<h3>y - 4 =  -  \frac{3}{5} (x - 15) \\y - 4 =  -  \frac{3}{5} x + 9 \\ y =  -  \frac{3}{5} x + 9 + 4</h3>

We have the final answer as

<h3>y =  -  \frac{3}{5} x + 13</h3>

Hope this helps you

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