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Luda [366]
3 years ago
14

Find the equation of the line that passes through the points (-800, 200) and (-400, 300)

Mathematics
2 answers:
alisha [4.7K]3 years ago
6 0

The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula

d = √  ((X2-X1)2+(Y2-Y1)2)

d = √ (-400--800)2+(300-200)2

d = √ ((400)2+(100)2)

d = √ (160000+10000)

d = √ 170000

The distance between the points is 412.310562561766

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(-800+-400)/2=-600

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(200+300)/2=250

The midpoint is: (-600,250)

Graphing the two points, midpoint and distance

P1 (-800,200)

P2 (-400,300)

Midpoint (-600,250)

The length of the black line is the distance between the points (412.310562561766)

Vinvika [58]3 years ago
3 0

Hey there!

First, we need to find the slope. To do this, we subtract the y values and then divide this by the difference in the x values.

300-200/-400+800

100/400

1/4

Our slope is 1/4. Now we plug a point into the slope intercept equation and solve for b.

200=-800(1/4)+b

200=-200+b

b=400

Now, we have our equation.

y=1/4x+400

I hope this helps!

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There are 1 stick of butter and 2 bananas.

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There are 2 teaspoons of salt and 1 teaspoon of black pepper.

Please refer attached figure.


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5 0
3 years ago
Sally builds these steps for her dog.
Dafna1 [17]

Answer:

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Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Answer the equation
ivanzaharov [21]

Answer:

x = -2, y = -4

coordinate: (-2, -4)

Step-by-step explanation:

Given system of equations:

a) 4x - 7y = 20

b) x - 3y = 10

1. Make x the subject in the <em>second</em> equation:

⇒ x - 3y = 10 [add 3y to both sides]

⇒ x - 3y + 3y = 10 + 3y

⇒ x = 3y + 10

2. Substitute the given value of x into <em>first</em> equation:

⇒ 4x - 7y = 20

⇒ 4(3y + 10) - 7y = 20 [distribute 4 through the parentheses]

⇒12y + 40 - 7y = 20 [combine like terms]

⇒ 5y + 40 = 20 [subtract 40 from both sides]

⇒ 5y - 40 - 40 = 20 - 40

⇒ 5y = -20 [divide both sides by 5]

⇒ 5y ÷ 5 = -20 ÷ 5

⇒ y = -4

3. Find the value of x by substituting the given value of y into x = 3y + 10:

⇒ x = 3y + 10

⇒ x = 3(-4) + 10 [multiply]

⇒ x = -12 + 10 [add]

⇒ x = -2

4. Check your work:

<em>a) 4x - 7y = 20</em>

⇒ 4(-2) - 7(-4) = 20

⇒ -8 + 28 = 20

⇒ 20 = 20 ✔

<em>b) x - 3y = 10</em>

⇒ -2 - 3(-4) = 10

⇒ -2 + 12 = 10

⇒ 10 = 10 ✔

This system of equations has a solution at (-2, -4).

Learn more here:

brainly.com/question/27849342

brainly.com/question/27728118

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2 years ago
salas little brother is learning to talk. he has a vocabulary of 30 words. each week his vocabulary grows by about 6%. at this r
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30 * (1+0.06)^5=

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