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3 years ago

solve image :) What is the equation of the line that has a slope of 3 and passes through the point (-4, 1)?

Mathematics

1 answer:

Lesechka [4]3 years ago

6 0

Answer:

Step-by-step explanation:

The point slope form of a line is

y - y1 = m(x - x1) where m = the slope, and (x1, y1) is a point on the line.

So, substituting:

y - 1 = 3(x - -4)

y - 1 = 3(x + 4)

y = 3x + 12 + 1

y = 3x + 13.

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Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a

hram777 [196]

Answer:

$(1,1)$

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points $(x_1,y_1)\,,\,(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So,

$EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}$

Perimeter of a figure is the length of its outline.

$EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

Put $(x,y)=(1,1)$

$\sqrt{(1-6)^2+(1-1)^2}+\sqrt{(1-1)^2+(1-5)^2}=9\\\sqrt{25}+\sqrt{16}=9\\5+4=9\\9=9$

This is true.

So, the point $(1,1)$ satisfies the equation $\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

So, point H is $(1,1)$ .

7 0

3 years ago

SimplIfy [(-49)÷7]÷(-7)]

Marysya12 [62]

Answer:

I think the answer is 1

Step-by-step explanation:

-49÷7=-7

-7÷-7=1

4 0

3 years ago

An electronic store orders 5 sets of walkie-talkies for $74.25 each. The store sells each set for $19.90. What is the percent ma

Ilya [14]

Answer:

34% per set

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Equalvant Terms to 6(5x + 9y)

Fed [463]

The Answer Is 30x+54y

have an amazing day <3

3 0

2 years ago

You guys my averhoffshyla account just got deleted I need my friends back!!

sergejj [24]

Answer:

Option C

Z=8

Step-by-step explanation:

5z-8=32

Rearranging the equation

5z-8+8=32+8

5z=40

Z=40/5

Z=8

8 0

3 years ago

Read 2 more answers