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Alinara [238K]
3 years ago
13

Find the equation of a line perpendicular to y=−4x−1 that contains the point (−2,2). Write the equation in slope-intercept form.

Mathematics
1 answer:
schepotkina [342]3 years ago
5 0

Answer:

see explanation

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 )

y = - 4x - 1 ← is in slope- intercept form

with slope m = - 4

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-4} = \frac{1}{4}, thus

y = \frac{1}{4} x + c ← is the partial equation of the line

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

2 = - \frac{1}{2} + c ⇒ c = \frac{5}{2}

y = \frac{1}{4} x + \frac{5}{2} ← in slope- intercept form

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Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they
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Answer:

The mechanic who worked 5 hours charged $115 per hour, the one who worked 15 hours charged $120 per hour.

Step-by-step explanation:

x = rate of mechanic who worked 5 hours

y = rate of mechanic who worked 15 hours

Then

x + y = 235

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Just solve these 2 equations above for x and y.

x + y = 235 ⇒ x = 235 - y

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2 years ago
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4 years ago
The cost to gift wrap an order is $3 plus $1 per item wrapped . What is the independent and dependent variable
motikmotik
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Answer:

TT , TW  , TL  , LT , LW  , LL  , WT , WW , WL

Step-by-step explanation:

They tell us that Maggie's fubtol team can can win (W), lose (L), or tie (T) each game, which means that it has 3 possible results and is two games, therefore the number of results would be :

Hence 2 Games will have 3² possible out comes.

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In other words, there are a total of 9 possible results, distributed as follows:

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T      W       L              T      W       L            T      W       L

TT    TW    TL            WT    WW   WL        LT    LW     LL

It means that the possible outcomes are:

TT , TW  , TL  , LT , LW  , LL  , WT , WW , WL

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Please help - brainliest plus 20 points
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Answer:

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