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OLEGan [10]
3 years ago
13

Find the equation of the line that is perpendicular to y = 2x + 8

Mathematics
1 answer:
Natasha2012 [34]3 years ago
6 0

Answer:

\boxed {\boxed {\sf B. \ y= - \frac{1}{2} x-4}}

Step-by-step explanation:

We are given the line y=2x+8. It is in slope-intercept form or y= mx+b, where m is the slope and b is the y-intercept.

The slope of the line is 2.

We want to find the equation that is perpendicular. Perpendicular lines have negative reciprocal slopes.

1. Negate

  • Negate the slope, or switch the sign
  • (+) 2 --> -2

2. Reciprocal

  • Flip the numerator and denominator of the slope.
  • -2/1 --> -1/2

The perpendicular slope is -1/2, so the correct equation must be B.

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7 0
3 years ago
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Witch is not a function {(7,8),(−4,4),(3,8),(−7,−1)} \{(-5, -3), (-1, -8), (-7, 0), (-5, -9)\}{(−5,−3),(−1,−8),(−7,0),(−5,−9)} \
iris [78.8K]

Given:

The relations are:

{(7,8),(−4,4),(3,8),(−7,−1)}

{(-5, -3), (-1, -8), (-7, 0), (-5, -9)}

{(8,4),(6,−1),(−4,5),(9,4)}

{(8,−3),(4,0),(−4,9),(3,2)}

To find:

The relation that is not a function.

Solution:

A relation is a function if there exist unique y-value for each x-value and a relation is not a function if there exist more than one y-values for any x-value.

In option B, the given relation is:

{(-5, -3), (-1, -8), (-7, 0), (-5, -9)}

Here, y=-3 and y=-9 for x=-5. There exist more than one y-values for x=-5. So, this relation is not a function.

In other three relations, all x-values are different, so there exist unique y-value for each x-value. It means the relations in options A, C and D are functions.

Therefore, the correct option is B.

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3 years ago
A group of 25 pennies is arranged into three piles such that each pile contains a different prime number of pennies. What is the
Goshia [24]

Answer:

<h2>seventeen (17),nineteen (19),and twenty three(23)</h2>
3 0
2 years ago
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