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2 years ago

10

Which equation is equivalent to (1/3)x=27x+2?

2 answers:

erma4kov [3.2K]2 years ago

7 0

I hope this helps you

x=3. (27x+2)

x=81x+6

80x=-6

x=-3/40

Ratling [72]2 years ago

4 0

Answer with explanation:

The given expression in one variable x, is:

$1.\Rightarrow\frac{x}{3}=27 x+2\\\\2.\Rightarrow\frac{x}{3}-27 x=2\\\\3.\Rightarrow\frac{x-81x}{3}=2\\\\4.\Rightarrow \frac{-80x}{3}=2\\\\5.\Rightarrow x=\frac{2 \times 3}{-80}\\\\6.\rightarrowx=\frac{-3}{40}$

All the steps from , 1 to 6 are equivalent to Original expression given.

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The coordinates of the vertices of a polygon are (-2, 1). (-3, 3), (-1, 5), (2, 4), and (2, 1). What is the perimeter of the pol

kobusy [5.1K]

Answer:

$15.2\ units$

Step-by-step explanation:

step 1

Plot the vertices of the polygon to better understand the problem

we have

$A(-2, 1). B(-3, 3), C(-1, 5), D(2, 4),E(2, 1)$

using a graphing tool

The polygon is a pentagon (the number of sides is 5)

see the attached figure

The perimeter is equal to

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the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 2

<em>Find the distance AB</em>

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substitute in the formula

$d=\sqrt{(3-1)^{2}+(-3+2)^{2}}$

$d=\sqrt{(2)^{2}+(-1)^{2}}$

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step 3

<em>Find the distance BC</em>

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substitute in the formula

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$d=\sqrt{(2)^{2}+(2)^{2}}$

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step 4

<em>Find the distance CD</em>

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substitute in the formula

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$d=\sqrt{(-1)^{2}+(3)^{2}}$

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step 5

<em>Find the distance DE</em>

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substitute in the formula

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<em>Find the distance AE</em>

$A(-2, 1).E(2, 1)$

substitute in the formula

$d=\sqrt{(1-1)^{2}+(2+2)^{2}}$

$d=\sqrt{(0)^{2}+(4)^{2}}$

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step 7

Find the perimeter

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substitute the values

$P=2.24+2.83+3.16+3+4=15.23\ units$

Round to the nearest tenth of a unit

$P=15.2\ units$

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Answer:

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