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Alex777 [14]
3 years ago
6

For geometry:( will give brainist to the correct answer!!!

Mathematics
1 answer:
Strike441 [17]3 years ago
5 0

Answer:

y = ⅔x - 5

Step-by-step explanation:

To write the equation, find the slope (m), to enable you write the equation of the line in point-slope form given a point, (-3, -7) that the line passes through.

Since the line is parallel to 2x - 3y = 24,, it would have the same slope (m) value.

Rewrite 2x - 3y = 24 in slope-intercept form.

Thus:

2x - 3y = 24

-3y = -2x + 24

y = ⅔x - 12

The slope of 2x - 3y = 24 is ⅔. Therefore, the line that is parallel to 2x - 3y = 24 is also ⅔.

To write the equation of the line, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)

Thus:

y - (-7) = ⅔(x - (-3))

y + 7 = ⅔(x + 3)

y + 7 = ⅔x + 2

y = ⅔x + 2 - 7

y = ⅔x - 5

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John is 3 years older than Jim. Jim is 4 years less than half of Dana’s age. How old is each person if their ages add up to 167?
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Solution:

we are given that

John is 3 years older than Jim. Jim is 4 years less than half of Dana’s age.

Let the age of Jim be x years then we can say

Age of John=x+3

If diana Age is D then

x=D/2-4

It can be re-wriiten as

Diana age D=2x+8

Given that  their ages add up to 167

x+x+3+2x+8=167\\
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4x+11=167\\
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4x=167-11\\
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4x=156\\
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x=39\\

Hence jim is 39 nyears old, John is 39+3=42 years old. and Diana is 2*39+8=78+8=86 years old.

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Answer:

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Step-by-step explanation:

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