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Eddi Din [679]
2 years ago
15

Are the following lines parallel, perpendicular, or neither: y=-x+6 and y=x+1

Mathematics
1 answer:
Artist 52 [7]2 years ago
7 0

Answer:

The following lines is perpendicular, y=-x+6 and y=x+1

Step-by-step explanation:

  • Slope of parallel lines are equal

(ex. slope of 2 stays 2 )

  • Slope of perpendicular lines to another is the negative reciprocal

(ex. slope of 2 becomes -1/2)

y = -x + 6 and y = x + 1

the slope for y = -x + 6 is <em>-1    (-1/1)</em>

the slope for y = x + 1 is <em>1</em>

the slope -1 is the negative reciprocal of 1

hence, the definition of perpendicular fits the given

Learn more about Perpendicular and Parallel Lines here: brainly.com/question/1202004

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Salsk061 [2.6K]

Answer:

Option (3)

Step-by-step explanation:

Properties for the vertical stretch or shrink of a function,

If a function is f(x) = k|x|

1). Function will be vertically stretched if k > 1

2). Function will have a vertical shrink if 0 < k < 1

To fit the given data graph of f(x) = |x| will vertically shrink without any translation along x or y-axis.

And the value of k will be, 0 < k < 1.

Therefore, g(x) = \frac{1}{3}f(x) will be the transformed graph.

Therefore, Option (3) will be the correct option.

6 0
2 years ago
X varies directly as y. If x is 9 when y is 4, find x when-y is 8.
jeka94

Answer:

see explanation

Step-by-step explanation:

Given x varies directly as y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition x = 9 when y = 4

k = \frac{x}{y} = \frac{9}{4} = 2.25

x = 2.25y ← equation of variation

When y = 8, then

x = 2.25 × 8 = 18

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3 years ago
Solving and graphing linear equations practice Y=x+2
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