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Rufina [12.5K]
3 years ago
7

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo

rm)
Mathematics
1 answer:
Alla [95]3 years ago
8 0

Answer:

\displaystyle y=-\frac{1}{2}x+4

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

y - 12 = 2x -8

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

y = 2x +4

The coefficient of the x is the slope

m=2

The slope of the perpendicular line is the negative reciprocal of m, thus

\displaystyle m'=-\frac{1}{2}

We know the second line passes through (2,3). That is enough information to find the second equation:

y-y_o=m'(x-x_o)

\displaystyle y-3=-\frac{1}{2}(x-2)

Operating

\displaystyle y=-\frac{1}{2}(x-2)+3

Simplifying

\displaystyle y=-\frac{1}{2}x+4

That is the equation in slope-intercept form. Intercept: y=4

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Step-by-step explanation:

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8 0
3 years ago
Solve for X, -33= -5x+17
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Answer:

5x=17+33

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Have a great day!

4 0
3 years ago
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How many pairs of whole numbers have the Sum of 12
nataly862011 [7]
Thanks for the question!

Don't forget 0 is a whole number:

0 + 12
1 + 11
2 + 10
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Hope this helps!
8 0
3 years ago
Im confusedd, please help??
spayn [35]

Answer:  three sets of value show 3 consecutive increases and they could be the intensities during fourth, fifth, and six visits:

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Explanation:


1) The program recommends a constant intensity for 3 visits, which is what the table shows:

Day        Intensisty

1             63%

2            equal ⇒ 63%

3            equal ⇒ 63%


2) Hence, you have to determine the valid sets that meet the recommendation for the fourth, fifth, and six visits, which are the next three.


2) For the next three visits, the program recommensd increasing intensities.


There are three options that show 3 consecutive increases; they are:

  • 66%, 69%, 72%;
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Therefore, those are the choices that apply.

4 0
3 years ago
What is 18 percent of 28 dollars
bixtya [17]
If something costs $28<span> and is on sale for </span>18<span>% off, then how much would it cost?
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5.04 U.S. dollars
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