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eduard
3 years ago
11

write an equation in point-slope form that passes thru the given point and has the given slope? (5,2) m=3

Mathematics
2 answers:
Oduvanchick [21]3 years ago
8 0
Y - y1 = m(x - x1)
slope(m) = 3
(5,2)....x1 = 5 and y1 = 2
now we sub
y - 2 = 3(x - 5) <=== ur answer
Semmy [17]3 years ago
3 0
Ok so we are given the slope right? That means the line has a rise and run of 3 through the point 5,2 right? So we get y - 2 = 3(x - 5) Right? We are asked to answer it in point slope form right? So that’s the answer br />
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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

P=AB+BC+CD+DE+AE

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>

A(-2, 1). B(-3, 3)

substitute in the formula

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

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

d_A_B=\sqrt{5}=2.24\ units

step 3

<em>Find the distance BC</em>

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substitute in the formula

d=\sqrt{(5-3)^{2}+(-1+3)^{2}}

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

d_B_C=\sqrt{8}=2.83\ units

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>

D(2, 4),E(2, 1)

substitute in the formula

d=\sqrt{(1-4)^{2}+(2-2)^{2}}

d=\sqrt{(-3)^{2}+(0)^{2}}

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step 6

<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}}

d_A_E=\sqrt{16}\ units

d_A_E=4\ units

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

6 0
2 years ago
Explain how to find the distance between two integers using the difference
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Answer:

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3 years ago
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