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PolarNik [594]
3 years ago
11

How many solutions does the following linear equation have? y = -2x -4 y = 1/2x - 5

Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

x=2/5, y=-24/5. (2/5, -24/5).

Step-by-step explanation:

y=-2x-4

y=1/2x-5

----------------

-2x-4=1/2x-5

-2x-1/2x-4=-5

-4/2x-1/2x=-5+4

-5/2x=-1

5/2x=1

x=1/(5/2)

x=2/5

y=1/2(2/5)-5

y=1/5-5

y=1/5-25/5

y=-24/5

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Answer:

0.8

Step-by-step explanation:

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3 years ago
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An object is launched from ground level with an initial velocity of 120 meters per second. For how long is the object at or abov
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Answer:

D) 14 seconds

Step-by-step explanation:

First we will plug 500 in for y:

500 = -4.9t² + 120t

We want to set this equal to 0 in order to solve it; to do this, subtract 500 from each side:

500-500 = -4.9t² + 120t - 500

0 = -4.9t²+120t-500

Our values for a, b and c are:

a = -4.9; b = 120; c = -500

We will use the quadratic formula to solve this.  This will give us the two times that the object is at exactly 500 meters.  The difference between these two times will tell us when the object is at or above 500 meters.

The quadratic formula is:

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Using our values for a, b and c,

x=\frac{-120\pm \sqrt{120^2-4(-4.9)(-500)}}{2(-4.9)}\\\\=\frac{-120\pm \sqrt{14400-9800}}{-9.8}\\\\=\frac{-120\pm \sqrt{4600}}{-9.8}\\\\=\frac{-120\pm 67.8233}{-9.8}\\\\=\frac{-120+67.8233}{-9.8}\text{ or }\frac{-120-67.8233}{-9.8}\\\\=\frac{-57.1767}{-9.8}\text{ or }\frac{-187.8233}{-9.8}\\\\=5.3242\text{ or }19.1656

The two times the object is at exactly 500 meters above the ground are at 5 seconds and 19 seconds.  This means the amount of time it is at or above 500 meters is

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6 0
3 years ago
Determine the value of y, if x is 5.<br> y = |x|– 10<br> Answer :
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Y = -5

work:

y = |5| - 10

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Crank

Answer:

Basketball = 0.743

Step-by-step explanation:

Given

Tennis:

Starting Height = 200 cm

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Soccer Balls;

Starting Height = 200 cm

Rebound Height = 120 cm

Basketball:

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Calculating the rebound ratio of each balls.

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