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Montano1993 [528]
3 years ago
15

Charlie graphs the equation y= –12x+2 .

Mathematics
1 answer:
baherus [9]3 years ago
4 0

Answer:

The graph is a straight line.

The line does not pass through the origin.

The y-intercept of the line is 2.

Step-by-step explanation:

I know that it's a straight line because the equation is written in this format; y=mx+b (this is a linear equation meaning that it must be a straight line).  In that equation, m is our slope and b is our y-intercept with this information. I know that the y-intercept is 2 since this equation is this y= –12x+2 (the 2 replaced the b which is our y-intercept). The line does not pass through the origin because its y-intercept is 2 which means it's impossible for the line to pass through the origin. (I hope this makes sense)

Hope this helped you

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A golfer hits a ball from a starting elevation of 2 feet with a velocity of 70 feet per second down to a green with an elevation
ikadub [295]

Answer:

4.50 s

Step-by-step explanation:

The motion of the ball is represented by the following equation:

h(t) = 2+70t-16t^2 (1)

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+70 ft/s is the initial vertical velocity

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The green is located at an elevation of -7 feet, so the ball lands on the green when

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Substituting into (1)

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And re-arranging we get

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This is a second-order equation in the form

at^2+bt+c=0

which has solutions

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Here we have:

a = 16

b = -70

c = -9

Substituting into (2) we find the solutions:

t_{1,2}=\frac{70\pm \sqrt{(-70)^2-4(16)(-9)}}{2(16)}

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The second solution is negative, and since negative time has no physical meaning, the only correct solution is

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