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EastWind [94]
3 years ago
15

Select the equations that are equivalent to the equation y – 2 = 3(x + 6). Select all that apply.

Mathematics
1 answer:
amm18123 years ago
3 0
The correct answer for the exercise shown above is the first option and the las option, which are:

 <span>y = 3x + 20
 3x - y = -20
</span>
 The explanation is shown below:

 1. You have the folllowing expression given in the problem above:

 y-2=3(x+6)

 2. If you solve it for y, you have:

 y-2=3x+18
 y=3x+18+2
 y=3x+20

 3. And if you move the variables to the left member, you have:

 3x-y=-20

 Therefore, as you can see, the correct answer are the options mentioned above.

 
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The answer would be 6.45
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What is the angle of rotation from MKJ/ to MKJ/? Assume that the center of rotation is the origin.
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What is the distance between (4,2) and (-1,-3)
Sati [7]
<h2>Solving for the Distance between two Points</h2><h3>Answer:</h3>

5 \sqrt{2} or 7.071

<h3>Step-by-step explanation:</h3>

<em>Please refer to my answer from this Question to know more about distances between two points: <u>brainly.com/question/24629826</u></em>

Given:

(4,2)

(-1,-3)

Solving for the Distance:

\sqrt{(4-(-1))^2 +(2 -(-3))^2} \\ \sqrt{(4 +1)^2 +(2 +3)^2} \\ \sqrt{5^2 +5^2} \\ \sqrt{25 +25} \\ \sqrt{50} \\ \sqrt{25 \cdot 2} \\ 5 \sqrt{2}

<u>Note:</u>

5 \sqrt{2} \approx 7.071

4 0
3 years ago
15. Construct the slope-intercept form equation of the line passing through (-5,23) and (10,-5).
Radda [10]

Answer:

15<em>y</em> = -28 <em>x</em> + 205.

Step-by-step explanation:

Slope intercept  form of equation is <em>y = mx + c</em> where m is slope and c is the y intercept.

Now slope of line passing through points (-5, 23) and (10, -5):

m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{-5 -23}{10 + 5} = \frac{-28}{15}

Now equation of line:

<em> y = mx + c</em>

substituting the value of m in above expression,

y = -\frac{28}{15} x + c

Now, since the line is passing through the point (-5, 23) therefore, x = -5 and y = 23. By substituting these values in above equation,

23 = -\frac{28}{15} \times (-5) + c

23 = \frac{28}{3} + c

c = 23 - \frac{28}{3} = \frac{69 - 28}{3} = \frac{41}{3}

So equation of line in slope intercept form:

y = -\frac{28}{15} x + \frac{41}{3}

Further solving,

15<em>y</em> = -28 <em>x</em> + 205.

3 0
3 years ago
Determine the standard form of the equation of the line that passes through (-6,6) and (3,-2)
Simora [160]

Answer:

y=(8/9)x + 4 and 2/3

Step-by-step explanation:

the slope of this line:

change in y/change in x

change in y=6-(-2)=8

change in x=-6-3=-9

change in y/change in x= 8/9

8/9 is the slope, so you plug it in for m in the standard form equation. You then use one point's x and y values to substitute for x and y in the equation, and solve for b, which is the y intercept

y=mx+b

y=(8/9)x+b

-2=(8/9)*3+b

-2=8/3+b

-4 and 2/3=b

4 0
3 years ago
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