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Aloiza [94]
3 years ago
8

“Find the slope of the line through each pair of points.” (17, -13) , (17, 8)

Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

Slope = (y2 - y1)/(x2 - x1)

Slope = (8 -(-13))/(17-17)= 21/0 - slope is undefined. This is a vertical line x = 17.

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Find the range of the following piecewise function.
mash [69]

Answer:

\huge\boxed{[-5;\ -2)\ \cup\ [3;\ 13)}

Step-by-step explanation:

The following piecewise functions are linear functions. The graph of any of them is a line segment.

We just need to calculate the value of the function at each end specified in the brace.

y=3x-2\ \text{if}\ -1\leq x

Substitute x =-1 and x = 0:

x=-1\\y=3(-1)-2=-3-2=-5\\\\x=0\\y=3(0)-2=0-2=-2

Range of this piece is [-5; -2)

y=2x+3\ \text{if}\ 0\leq x

Substitute x =0and x = 5:

x=0\\y=2(0)+3=0+3=3\\\\x=5\\y=2(5)+3=10+3=13

Range of this piece is [3; 13)

Therefore the range of the following piecewise function is:

[-5;\ -2)\ \cup\ [3;\ 13)

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Height of the kite from the ground = 50 feet
Angle at which the kite is flying = 45 degrees
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