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Zolol [24]
3 years ago
12

A line passes through the points (2,4) and (5,6) . Select Yes or No to tell whether each equation describes this line. Equation

Yes No y−6=32(x+5) ​y−4=23(x−2)​ ​y−4=32(x+2)​ ​y−6=23(x−5)​
Mathematics
1 answer:
krek1111 [17]3 years ago
3 0

\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-4}{5-2}\implies \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=\cfrac{2}{3}(x-2)

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I am pretty sure I know the answer but I need to be certain. Please answer and give explanation if possible.
creativ13 [48]

Answer:

Vertical opposite angles are the same so the answer is D.

8 0
3 years ago
LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given)
Natali5045456 [20]
<h3>Answers:</h3>

W(-2,-1) \to \\W \ ' \ (-4,4)\\\\X(0,2) \to \\X \ ' \ (0,4)\\\\Y(3,-1) \to \\Y \ ' \ (6,-2)\\\\V(-2,-1) \to \\V \ ' \ (-4,-2)\\\\

=====================================================

Explanation:

The scale factor is 2, which means we double each coordinate of each point. The general rule is (x,y) \to (kx,ky) with k = 2. So we can say the more specific dilation rule is (x,y) \to (2x,2y)

Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.

The given preimage points

  • V = (-2, -1)
  • W = (-2, 2)
  • X = (0, 2)
  • Y = (3, -1)

will dilate to the corresponding image points

  • V ' = (-4, -2)
  • W ' = (-4, 4)
  • X ' = (0, 4)
  • Y ' = (6, -2)

as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.

4 0
3 years ago
Karen has 1/2 cup of sugar. She is baking cookies and needs 1 1/3 cups for a recipe. How much more sugar does she need If she wa
Evgen [1.6K]

Answer:

3 1/2 cups

Step-by-step explanation:

Let's start by figuring out how much sugar Karen needs in total.

She needs (1+1/3) cups for her original recipe. To triple that, we need (1+1/3) 3 times. We can calculate this by multiplying it by 3.

(1+1/3) * 3 = 3 + 1 = 4

Karen needs 4 cups in total. She has 1/2 cup. The difference is how much more she needs. Therefore, she needs 4 - 1/2 = 3 1/2 cups

3 0
3 years ago
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Ksju [112]

Answer:

The distance is 8 miles.

Step-by-step explanation:

First, we need to write an equation for each of chauffeured car services.

The first one = 28 + 2x = ?

The second one = 13 + 5x = ?

Next, we need to figure out what x is. Usually I just plug in random numbers, but I'm sure there's a better way to do it.

I first plugged in 2 as x.

28 + 4 = 32

13 + 10 = 23

That didn't work, so I then plugged in 5.

28 + 10 = 38

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So 5 would be the correct answer for what is the distance.

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The answer to this would be 1/4 that is your slope
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