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2 years ago

Write the standard form of line that passes through (1,5) and (-2,3)

Mathematics

1 answer:

STatiana [176]2 years ago

7 0

Answer:

2/3x - y = -13/3

Step-by-step explanation:

Step 1: Find slope <em>m</em>

m = (3 - 5)/(-2 - 1)

m = -2/-3

m = 2/3

y = 2/3x + b

Step 2: Find <em>b</em>

5 = 2/3(1) + b

5 = 2/3 + b

b = 13/3

Step 3: Write equation in slope-intercept form

y = 2/3x + 13/3

Step 4: Move 2/3x over

-2/3x + y = 13/3

Step 5: Factor out -1

-1(2/3x - y) = 13/3

Step 6: Divide both sides by -1

2/3x - y = -13/3

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k0ka [10]

It might be -0.35, -0.3, 0.5, and 0.55

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2 years ago

Vertex A in quadrilateral ABCD lies at (-3, 2). If you rotate ABCD 180° clockwise about the origin, what will be the coordinates

natali 33 [55]

The rule for a rotation by 180° about the origin is (x,y) -->(−x,−y)

So A(-3, 2) to A'(3, -2)

Answer:

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2 years ago

What is the distance between nicholas's school and the post office?

aleksklad [387]

Part A:

Given that Nicholas's school is located at point (3, 2) and that the post office is located at point (-2, -2), then the distance between Nicholas's school and the post office is given by:

$d= \sqrt{(-2-3)^2+(-2-2)^2} \\ \\ = \sqrt{(-5)^2+(-4)^2} = \sqrt{25+16} \\ \\ \sqrt{41} =\bold{6.4} \ units$

Part B:

If Nicholas is located at point (– 3 , 2), the distance to get to the grocery store located at point (1,-1) is given by:

$d= \sqrt{(1-(-3))^2+(-1-2)^2} \\ \\ = \sqrt{(1+3)^2+(-3)^2} = \sqrt{(4)^2+9} \\ \\ = \sqrt{16+9} = \sqrt{25} =\bold{5}$

4 0

2 years ago

Matthew worked a summer job and saved $900 each

Dmitry_Shevchenko [17]

Answer:

1400

Step-by-step explanation:

hope that helps <3

5 0

2 years ago

Help me I’m on gradpoint. I will mark you brainlest if you can also find the website to get all gradpoint answers!

AlekseyPX

Answer:

C. (1, 1, 2)

Step-by-step explanation:

Well plugging them in one by one.

x + y - z = 0

-1 + 2 - 4 = 0

no.... no it doesn't equal 0 so it isn't the solution

-1 + 0 - 2 = 0

nope it doesn't equal 0 so it's also not the solution

1 + 1 - 2 = 0

Yes! this could equal the solution so lets keep going down the line

3x - y + z = 4

(3*1) -1 + 2 = 4

Yes! this also is correct

I could keep talking and talking but yes, (1, 1, 2) is your answer

Hope this helps! <3

3 0

2 years ago