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nasty-shy [4]
4 years ago
8

Point E is drawn on the graph so that line EF is parallel to line CD. If the coordinates of point E are (–4, y), what is the val

ue of y?

Mathematics
2 answers:
dolphi86 [110]4 years ago
9 0
The slope of cd is 2/5
 
 the slope of ef is -4-y/10

the lines are parallel so the slopes are equal

-4-y/10= 2/5

 -4-y=2/5x10=4
 
 -y=4=4=8 

y=-8
Sloan [31]4 years ago
8 0

Answer:

-8 on edge :)

Step-by-step explanation:

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we are looking for an equation perpendicular to y = -2x + 5

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Where m is the pending; and b is the product of X1 for m, add the Y1

The pending of a line that is perpendicular to other line is reprical to the pending ot this other line, and with a different sign.

So, the pending of this first line is -2, the reprical is -1/2. We change the sing and we have 1/2

The second line does have a pending of 1/2 (0.5).

So, this second line pass for the point (0,0), so we have the equation:

y - Y1 = m(x - X1)

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3 years ago
Determine whether PQ and UV are parallel,
lys-0071 [83]

Answer:

The answer is below

Step-by-step explanation:

The slope of a line (m) is given by:

m=\frac{y_2-y_1}{x_2-x_1}

Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1.

1)

Slope\ of\ PQ=\frac{1-(-2)}{9-(-3)}=\frac{1}{4}  \\\\Slope\ of\ UV=\frac{-2-6}{5-3}=-4

Since the product of their slope is -1, they are perpendicular

2)

Slope\ of\ PQ=\frac{1-7}{2-(-10)}=-\frac{1}{2}  \\\\Slope\ of\ UV=\frac{1-0}{6-4}=\frac{1}{2}

Since the slope is not the same or product of their slope is not -1, they are neither parallel or perpendicular

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Slope\ of\ PQ=\frac{8-1}{9-1}=\frac{7}{8}  \\\\Slope\ of\ UV=\frac{8-1}{2-(-6)}=\frac{7}{8}

Since the slopes are the same, they are parallel

4)

Slope\ of\ PQ=\frac{3-0}{9-(-4)}=\frac{3}{4}  \\\\Slope\ of\ UV=\frac{6-(-3)}{8-(-4)}=\frac{3}{4}

Since the slopes are the same, they are parallel

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Slope\ of\ PQ=\frac{1-2}{0-(-9)}=-\frac{1}{9}  \\\\Slope\ of\ UV=\frac{-1-8}{-2-(-1)}=9

Since the product of their slope is -1, they are perpendicular

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increase in earnings=$3,632,859,678-$2,459,632,852

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825 tickets divided by 3 theaters is 275 seats so there should be 275 seats in each theater

Step-by-step explanation:


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