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tigry1 [53]
3 years ago
7

What is the correct equation for direct variation that includes the point (6, –3)?

Mathematics
1 answer:
Anika [276]3 years ago
6 0
A direct variation equation always takes the form y=kx, where k is a constant

Let's plug in the values of x=6 and y= -3 to solve for the value of k

-3 = k(6)

Let's flip this equality so we have the k on the left side of the equation.

6k = -3

Let's divide both sides by 6

k = -3/6

Now, simplify the fraction 

k = -1/2

Now that we found the value of k, our equation is

y = (-1/2) x

Have an awesome day! :)
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B

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16x6=96
The second picture is 6 times bigger than the first so it's 1 to 6
8 0
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The side of a square is x, and the area is A. Express A in terms of x. Draw the graph which shows how A depends on x.
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a=x squared or x times itself

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Why did my DAD leave me is it because he needed to get some milk or to get some more pop from the store? Why would I know Im jus
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Question 3 of 10
MrMuchimi

Answer:

The point-slope form  of the line is:

y + 4 = 4(x+3)

Hence, option B is correct.

Step-by-step explanation:

We know the point-slope form of the line equation is

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

Given

The slope m = 4

From the graph, we can take the point (-3, -4)

So, in our case:

(x₁, y₁) = (-3, -4)

m = 4

now substituting m = 4 and (x₁, y₁) = (-3, -4) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - (-4) = 4(x - (-3))

y + 4 = 4(x+3)

Therefore, the point-slope form  of the line is:

y + 4 = 4(x+3)

Hence, option B is correct.

  • The graph of the line is also attached.

6 0
3 years ago
he triangles below are similar. Triangle Y X Z. Side Y X is 6 centimeters, X Z is 7 centimeters, and Z Y is 3 centimeters. Trian
MissTica
  • YX=6
  • XZ=7
  • ZY=3

And

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  • BC=6
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Check

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  • 2=2=2

Hence

  • ABC=XYZ

Or

  • ZYX≈CBA

Option C

6 0
2 years ago
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