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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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Which statement describes the system of equations?
qwelly [4]

Answer:

Step-by-step explanation:

-5x-4y=-4  ...(1)

25x+ 20y = 20 ....(2)

multiply (1) by -5 you have : 25x+ 20y = 20 ....(2) same equation , same line

so : The system has infinitely solutions.

3 0
3 years ago
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The product of 5/2 and 13/4 is greater than , less than, or equal to 13/4
Bas_tet [7]

Answer:

the product is greater than 13/4

Step-by-step explanation:

5/2 x 13/4 = 8.125

13/4= 3.25

8.125>3.25

8 0
3 years ago
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frutty [35]

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4 0
3 years ago
In triangle ABC, the size of angle B is 4 times the size of angle A, and the size of angle C is 6°
amid [387]

Answer:

<A = 18.6 Degree

<B =74.4 Degree

<C = 87 Degree

Step-by-step explanation:

Sum of all the angles of triangle is 180

as given ,

<A = ?

<B = 4<A

<C = 5 <A - 6

As per rule ,

<A + <B +<C = 180

<A + 4 <A + 5<A - 6 = 180

10 <A - 6 = 180

10 <A = 180 + 6

<A = 186 / 10

<A = 18.6 Degree

Hence ,

< B =  4 X (18.6)

< B = 74.4 Degree

and

<C = 5 (18.6) - 6

<C = 87 Degree

PROOF

<A + <B + <C = 180

18.6 + 74.4 + 87 = 180

180 = 180

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3 years ago
5. a) Which figure is the mapping diagram of the relation
Viefleur [7K]

Answer:

b, since the others have the input and output on the wrong sides

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