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alexdok [17]
3 years ago
14

#6

Mathematics
1 answer:
serious [3.7K]3 years ago
3 0

Answer:

y = -1/5x + 3/10

Step-by-step explanation:

You want to organize the equation into slope-intercept form: y=mx+b

2x + 10y = 3

Subtract 2x from both sides.

10y = -2x + 3

Divide both sides by 10.

y = -2/10x + 3/10

Simplify.

y = -1/5x + 3/10

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\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}

Now

#1

\\ \tt\Rrightarrow AB=\sqrt{(3-3)^2+(-2-8)^2}=\sqrt{100}=10units

#2

\\ \tt\Rrightarrow OK=\sqrt{(5-7)^2+(-2+2)^2}=\sqrt{4}=2units

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\\ \tt\Rrightarrow LM=\sqrt{(-4-4)^2+(6+4)^2}=\sqrt{64+100}=\sqrt{164}\approx 13units

#4

\\ \tt\Rrightarrow PC=\sqrt{(5-2)^2+(1-3)^2}=\sqrt{9+4}=\sqrt{13}=3.2units

#5

\\ \tt\Rrightarrow QR=\sqrt{(-2+10)^2+(3-9)^2}=\sqrt{64+36}=\sqrt{100}=10units

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