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vivado [14]
4 years ago
8

Which choice is the equation of a line that passes through the point (–6, –2) and is perpendicular to the line represented by th

is equation?
y = −3x + 1

A. 3x + y = 1
B. y = 1/3x
C. y = −3x
D. −3y = −x + 1
Mathematics
1 answer:
kobusy [5.1K]4 years ago
7 0

Answer:

  B.  y = 1/3x

Step-by-step explanation:

The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.

We can find the y-intercept (b) if we use the given point values in the equation ...

  y = 1/3x +b

we get ...

  -2 = (1/3)(-6) +b

  -2 = -2 +b . . . simplify

  0 = b . . . . . . . add 2

So, the equation of the perpendicular line through the given point is ...

  y = 1/3x . . . . matches choice B

_____

<em>Alternate solution method</em>

You can try the given point in the given equations. You will find that only the equation of choice B will work.

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Answer:

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Total = 2,552.36

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Step-by-step explanation:

3 0
3 years ago
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ra1l [238]

Answer:

x > 4 or 4<x

Step-by-step explanation:

12<8+x

You can rewrite it for easier look:

8+x>12

Suvtract 8 from both side:

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6 0
4 years ago
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Answer:

d = 2.2

Step-by-step explanation:

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7 0
3 years ago
an empty 1200 gallon tank is filled with water at a rate of 6 gallons of water per minute. At the same time another 1200 gallon
ser-zykov [4K]

Answer: 80 minutes

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each tank:

An empty 1200 gallon tank is filled with water at a rate of 6 gallons of water per minute.  

So, the amount of water of the tank is equal to the filling rate, 6 liters per minute (6m)

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The second 1200 gallon tank full of water is being drained at a rate of 9 gallons per minute.

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So, the amount of water in the tank is equal to the amount of water already in the tank (1200 g), minus the draining rate (9m)

Since both tanks will have the same amount of water:

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Solving for m  (minutes):

6m+9m= 1200

15m = 1200

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Feel free to ask for more if needed or if you did not understand something.

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