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2 years ago

The following table represents a linear function. What is the slope?

Mathematics

2 answers:

AlexFokin [52]2 years ago

8 0

Answer:

C. 3

Step-by-step explanation:

To find slope you take one (y) and subtract another (y) then divide that by an (x) minus the other (x) so

8-5/2-1

3/1.

The slope is 3

nadezda [96]2 years ago

7 0

Answer: C the slope is 3!

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

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What is the perimeter of a polygon with vertices at (−2, 1) , (−2, 4) , (2, 7) , (6, 4) , and (6, 1) ?

alekssr [168]

First we need the distances of the sides of the polygon, because perimeter = sum of all sides.
$d = \sqrt{{(y2 - y1)}^{2} + {(x2 - x1)}^{2} }$
$d1 = \sqrt{{(1 - 4)}^{2} + {( - 2 - - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3$
$d2 = \sqrt{{(4 - 7)}^{2} + {( - 2 - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {( -4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5$
$d3 \: = \sqrt{{(7 - 4)}^{2} + {(2 - 6)}^{2} } \\ = \sqrt{{(3)}^{2} + {( - 4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5$
$d4 = \sqrt{{(4 - 1)}^{2} + {(6 - 6)}^{2} } \\ = \sqrt{ {(3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3$
$d5 = \sqrt{{(1 - 1)}^{2} + {(-2 - 6)}^{2} } \\ = \sqrt{ {(0)}^{2} + {( - 4)}^{2}} = \sqrt{16} \: = 4$
Now, we add all sides for the perimeter:
p = d1 + d2 + d3 + d4 + d5
p = 3+5+5+3+4 = 20 units

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2 years ago

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X^2+(y+)4^2=64 khan academy

Tems11 [23]

Answer: The center is 0,4

Step-by-step explanation:

Use this form to determine the center and radius of the circle:

(

x-h)^2+(y-k)^2=r^2

Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin:

r=8

h=0

k=4

The center of the cirle is found at (h,k): (0,4)

The radius is 8

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3 years ago