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Anestetic [448]
3 years ago
14

A bag contains 15 coins consisting of quarters and dimes. The total value of the coins is $2.55. Which system of equations can b

e used to
determine the number of quarters, q, and the numbers of dimes, d, in the bag?
Mathematics
1 answer:
denis23 [38]3 years ago
5 0

Answer: d+q= 2.55

or d=15+q

I believe this is how you do it

Step-by-step explanation:

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Given:

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y=\frac{1}{2}x+5

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The slope of the line is,

m=\frac{1}{2}

Since the given line is parallel to the new line, so the slope will be same for the both.

Using the point-slope formula,

y-y_1=m(x-x_1)

Substitute the point and slope we get,

\begin{gathered} y-(-3)=\frac{1}{2}(x-4) \\ y+3=\frac{1}{2}x-2 \\ y=\frac{1}{2}x-2-3 \\ y=\frac{1}{2}x-5 \end{gathered}

Hence, the equation in slope-intercept form for the line is,

y=\frac{1}{2}x-5

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1 year ago
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For lines to be perpendicular, the slopes have to be the exact opposite. (opposite sign and number)

For example(perpendicular):

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12. line a and b are perpendicular


13. Line a: y = 3/5x + 1

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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