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Pachacha [2.7K]
3 years ago
13

what is the y-intercept of the equation of the line that is perpendicular to the line y=3/5x+10 and passes through the point (15

,-5)

Mathematics
1 answer:
ohaa [14]3 years ago
3 0

The slope of the given line is the coefficient of x, 3/5. The slope of the perpendicular line will be the negative reciprocal of that: -1/(3/5) = -5/3.

The point-slope form of the equation for a line of slope m through point (h, k) can be written ...

... y = m(x -h) +k

For your point and the slope found above, this becomes

... y = (-5/3)(x -15) -5

When x=0, this is

... y = (-5/3)(-15) -5 = 20

The y-intercept is 20.

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A bag contains purple marbles and blue marbles, 41 in total. The number of purple marbles is 4 less than 2 times the number of b
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Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

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2) we want to know how many purple marbles we have, so let's rearrange for p:

p = 41 - b

3) Our problem gives us an expression for the purple marbles in terms of the blue,  let's write it using math symbols instead of words:

<em>"The number of purple marbles is 4 less than 2 times the number of blue marbles."</em>

so: p = 2b - 4

3) Now we're going to plug this in (or substitute it) for our p in our first equation, and solve for b

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3b = 45               (add b to both sides)

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4, last step!)

Now we know we have 15 blue marbles, that's great! But we still want to know how many purple marbles we have.

41- 15 = 26 purple marbles

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3 years ago
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Answer:

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