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egoroff_w [7]
2 years ago
5

The sides of triangle can be represented by x+3, 2x+4 and 3x-1. what would be the perimeter of it were scaled down by half

Mathematics
1 answer:
svlad2 [7]2 years ago
4 0

The perimeter will also be scaled down by half if the original triangle if it were scaled down by half.

<h3>What is the perimeter of a triangle?</h3>

The total length of a triangle's boundary is referred to as its perimeter. It is the total of the triangle's three sides. A triangle's perimeter will be equal to a+b+c if its three sides are a, b, and c.

The sides of the original triangle are:

x+3, 2x+4, 3x-1

The perimeter of the triangle will be

x+3+2x+4+3x-1\\=6x+6

If it were scaled down by half then new sides will be

\frac{x+3}{2} , \frac{2x+4}{2} , \frac{x-1}{2}

So, the perimeter of the new triangle will be

\frac{x+3}{2} + \frac{2x+4}{2} + \frac{3x-1}{2}\\=\frac{x+3+2x+4+3x-1}{2} \\=\frac{6x+6}{2}\\ =3x+3

This is half of the original triangle's perimeter. Therefore, the perimeter of the new triangle is half of the perimeter of the original triangle.

To know more about perimeter of a triangle visit: brainly.com/question/12577324?referrer=searchResults

#SPJ4

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tresset_1 [31]
Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

slope intercept form :
y=m+b

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If the line is parallel to y=2/3 x-0, the line will have the same slope, therefore the slope will be: 2/3.

Data:
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y-y₀=m(x-x₀)
y-4=2/3(x-8)
y-4=2/3 x-16/3
y=2/3 x-16/3+4
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Answer: The equation of the line would be: y=2/3 x-4/3.


if we have the next slope "m",then the perendicular slope will be:
m´=-1/m

We have this equation: y=2/3 x+0; the slope is: m=2/3.

The perpendicular slope will be: m`=-1/(2/3)=-3/2

And the equation of the perpendicular line to : y=2/3 x+0, given the point (8,4) will be:

y-y₀=m(x-x₀)
y-4=-3/2 (x-8)
y-4=-3/2 x+12
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y=-3/2x+16

answer: the perpendicular line to y=2/3 x+0 , given the point (8,4) will be:
y=-3/2 x+16
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Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

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