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nevsk [136]
3 years ago
11

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?

Mathematics
1 answer:
Setler [38]3 years ago
7 0
First things first.  Solve the equation for y, getting it into y = mx + b form so it's easy to determine the slope.  5x + 2y = 12 so 2y = -5x + 12.  Dividing everything by 2 we get y=- \frac{5}{2}x+6.  So the slope is -5/2.  Parallel lines have the same slope, so we will have a slope of -5/2 in our new equation, we just have to find out what that equation is.  We have an x and a y value from the point, so we will use that, along with the slope, to find b, the y-intercept.  4=- \frac{5}{2}(-2)+b and 4 = 5 + b.  So b = -1.  Now let's write the equation: y=- \frac{5}{2}x-1.  And there you go!
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Answer:

  B.  1.5 = 2p

Step-by-step explanation:

If p is the fraction of the price of a pizza, then 2p is the actual value of that fraction. We're told that is equal to the price of a hotdog, so ...

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or

  1.5 = 2p . . . . . . matches choice B

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<em>Additional comment</em>

Some of us would "cut to the chase" and compute the fraction directly:

  p = (price of hotdog)/(price of pizza) = 1.5/2

No such choice is offered, so the next best is the equation you get when you  multiply this by 2:

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3 years ago
Suppose that the relation T is defined as follows.
stepladder [879]
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Answer:

Step-by-step explanation:

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In the case of adding an 18% tip,

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