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Rufina [12.5K]
2 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]2 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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kozerog [31]
3/4z - 1/4z + 3 = 2/4z + 5
3/4z - 1/4z - 2/4z = 5 - 3
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3 0
3 years ago
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denis-greek [22]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Hey can someone help me
enyata [817]

Answer:

602.88in²

Step-by-step explanation:

Formula for finding the volume of oblique triangle is expressed as

A = πr²h

Given

radius r = 4in

height h = 12in

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A = π*4²*12

A = 3.14*16*12

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A = 602.88in²

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5 0
2 years ago
The slope field for the differential equation dy/dx=(3y)/(xy+5x) will have vertical segments when
Inessa05 [86]

Answer:

E) x=0 or y=-5

Step-by-step explanation:

The slope field will have vertical segments when dy/dx is undefined, that is, dy/dx is a division by 0.

We have that

dy/dx=(3y)/(xy+5x)

So the slope field will have vertical segments when

xy + 5x = 0

x(y + 5) = 0

This is when x = 0 or y = -5.

So the correct answer is:

E) x=0 or y=-5

3 0
3 years ago
The area of a square is 81 centimeters find the length of the length find the diagonal
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Length = √area  = √81 = 9

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