A. Graph A B. Graph D C. Graph B D. Graph C

Mathematics

1 answer:

Delicious77 [7]2 years ago

5 0

You can eliminate graphs A and C because the lines are dotted and you can eliminate graph B because the shaded part is below the solid line and the equation is telling you to shade above so the answer is D

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Arc Length: The pendulum on a grandfather clock swings from side to side once every second. If the length of the pendulum is 4 f

Karolina [17]

Imagine the path of the tip of the pendulum as an arc of a circle. The circle would have a radius of 4 feet and the arc would be 20 degrees. To calculate the length of the arc, you need to find 20 degrees of the circumference.

Length of Arc = 2*pi*R*Degree of arc/360
Length of Arc = 2*pi*4*20/360
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1. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the

Sveta_85 [38]

Answer:

#1) y = -4x + 1; #2) parallel; #3) y = -1/2x + 5/2; #4) y = 2x + 4; #5) Never

Step-by-step explanation:

#1) We want a line that passes through (1, -3) and is parallel to y = 2-4(x-1). First we simplify our equation using the distributive property:

y = 2-4(x-1) = 2-4(x) -4(-1) = 2-4x--4 = 2-4x + 4 = -4x + 6

Lines that are parallel have the same slope; this means we want a line through (1, -3) with a slope of -4. Using point-slope form,

$y-y_1=m(x-x_1)\\\\y--3=-4(x-1)\\\\y+3=-4(x)-4(-1)\\\\y+3=-4x+4\\\\y+3-3=-4x+4-3\\\\y=-4x+1$

#2) We must first write our second equation in slope-intercept form by isolating the y term:

2x+y=7

Subtract 2x from each side"

2x+y-2x = 7-2x

y = -2x+7

This means the slope is -2; the slopes are the same, so the lines are parallel.

#3) The slope of our given equation is 2. To be perpendicular, the second line must have a slope that is a negative reciprocal (flipped and opposite signs); this makes it -1/2. Using point-slope form,

$y-0=\frac{-1}{2}(x-5)\\\\y=\frac{-1}{2}(x)+\frac{-1}{2}(-5)\\\\y=\frac{-1}{2}x+\frac{5}{2}$

#4) The slope of Main Street on the diagram, found by using rise/run, is 2. This means the bike path will also have a slope of 2 in order to be parallel. The park entrance is at (0, 4). This makes the equation y = 2x+4.

#5) Two lines with the same slope are always parallel. They are never perpendicular.

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3 years ago

Read 2 more answers

Your welcome. enjoy ur day :)

Nat2105 [25]

Thank you!!! enjoy yours

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3 years ago

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There are two spinners containing only red and orange slices. Spinner A has 7 red slices and 13 orange slices. All the slices ar

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