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Over [174]
3 years ago
13

Write an equation of the line that goes through the point (–6, 6) and is perpendicular to the line y=-2x+2

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

Answer:

Slope-intercept form: y = x/2 + 9

Standard form: x - 2y = -18

Step-by-step explanation:

y = -2x + 2

This equation is already in slope-intercept form, y= mx + b, where slope (m) is equal to -2.

Slope of the line perpendicular to the given line

= 1/2 passing through point (-6, 6)

y - 6 = (1/2)(x + 6)

y = (1/2)x + 9 (Slope-intercept form)

2y = x + 18

x - 2y = -18 (Standard form)

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Answer:

The answer is 3x²-7x+19

5 0
3 years ago
Given P(E)= 0.24 and P(FnE)= 0.17, find P(F| E). Round the answer to the nearest hundredth. A. 029 B. 0.40 C. 0.71 D. 1.41
romanna [79]

Given P(E) = 0.24 and P(F ∩ E) = 0.17

It says to find conditional probability of F given E has occurred.

We know the formula of conditional probability is given by :-

P(F ║ E) = \frac{P(E\;and\; F)}{P(E)}

P(F ║ E) = \frac{0.17}{0.24} = 0.708333

P(F ║ E) = 0.71

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7 0
3 years ago
What is the equation of the line that is parallel to 8x-5y=2 and goes through the point (-5,-2)
Stella [2.4K]

Answer:

8x - 5y = - 30

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 8x - 5y = 2 into this form

Subtract 8x from both sides

- 5y = - 8x + 2 ( divide all terms by - 5 )

y = \frac{8}{5} x - \frac{2}{5} ← in slope- intercept form

with slope m = \frac{8}{5}

• Parallel lines have equal slopes, hence

y = \frac{8}{5} x + c ← is the partial equation of the parallel line

To find c substitute (- 5, - 2) into the partial equation

- 2 = - 8 + c ⇒ c = - 2 + 8 = 6

y = \frac{8}{5} x + 6 ← in slope- intercept form

Multiply through by 5

5y = 8x + 30 ( subtract 5y from both sides )

0 = 8x - 5y + 30 ( subtract 30 from both sides )

8x - 5y = - 30 ← in standard form

3 0
3 years ago
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Step-by-step explanation:

3 0
2 years ago
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Plz help me. Im stuck on this question
vladimir1956 [14]

Answer:

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Step-by-step explanation:

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