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Arada [10]
3 years ago
10

What is the constant of proportionality

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0
Constant of proportionality
1) proportion are equivalent
2) straight line must go through the origin
3) direct variation
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Which is the graph of the line LaTeX: y-2=3\left(x-1\right)y − 2 = 3 ( x − 1 )?
andreyandreev [35.5K]

Answer:

D.

Step-by-step explanation:

The equation given takes the point-slope form which is, y - b = m(x - a). Where,

(a, b) = (x, y) coordinates of a point on the line.

m = slope of the line .

To find which graph has a line equation of y - 2 = 3(x - 1), look for the points which will give you something almost exactly as the equation if you substitute their values into y - b = m(x - a).

Let's consider option D.

We have a given point (1, 2). a = 1, b = 2.

Substitute these into y - b = m(x - a)

We have:

y - (2) = m(x - (1))

y - 2 = m(x - 1)

As you can see, this looks almost exactly as

y - 2 = 3(x - 1).

If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into y - 2 = m(x - 1) to find m:

In graph D, let's take the points (0, -1)

-1 - 2 = m(0 - 1)

-3 = m(-1)

-3 = -m

Divide both sides by -1

3 = m

m = 3.

Therefore, option D is the graph of the line y - 2 = 3(x - 1).

3 0
3 years ago
Factor.<br><br> 9x2−25y2<br><br> Enter your answer in the boxes.<br> (<br> )(
Anettt [7]

Answer:

( 3x + 5y) • (3x - 5y)

Step-by-step explanation:

hope this helps:))

3 0
3 years ago
Please help solve with working much appreciated!
Lapatulllka [165]

The right answer is Option A.

Step-by-step explanation:

Given,

Heart rate goal = I

Heart rate reserve = H

70% of H = \frac{70}{100}H = 0.7H

Resting heart rate = R

According to given statement,

70% of heart rate reserved is added to resting heart rate to calculate heart rate goal, therefore,

I = R + 0.7H

I=R+0.7H represents the given situation.

The right answer is Option A.

Keywords: linear expression, addition

Learn more about addition at:

  • brainly.com/question/10940255
  • brainly.com/question/10941043

#LearnwithBrainly

8 0
3 years ago
Solve 1 + 8x = –16 – 2x – 7x.
NeX [460]
Your answer is B. x= -1
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3 years ago
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