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SVEN [57.7K]
2 years ago
14

M is the midpoint of PQ. PM = 6x + 7 and MQ = 9x – 8, find the length of PQ.

Mathematics
1 answer:
koban [17]2 years ago
8 0

Answer:

The length of PQ is 64 units

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Slope = -1/6; (12,-2)
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Equation is y = -1/6x

Step-by-step explanation:

  • Step 1: Given that slope, m = -1/6 and a coordinate (12,-2). Write the equation and find the y-intercept, b.

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⇒ -2 = -1/6 × 12 + b

⇒ -2 = -2 + b

∴ b = 0

  • Step 2: Write the equation in slope intercept form.

⇒ y = -1/6x + 0

⇒ y = -1/6x

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16 plus 5 times a number is more than the number minus 8. Write an inequality and solve it
Radda [10]

n > -6 is the inequality for 16 plus 5 times a number is more than the number minus 8

<em><u>Solution:</u></em>

Given statement is:

16 plus 5 times a number is more than the number minus 8

We have to write a inequality

From given statement,

16 plus 5 times a number is more than the number minus 8

Let the number be "n"

Therefore,

16 plus 5 times "n" is more than "n" minus 8

Here, "plus" means addition and "minus" means subtraction and "times" means multiplication

Thus the statement is translated into inequality as:

16 + 5n >n-8

Simplify the inequality

16 + 5n >n-8\\\\\mathrm{Subtract\:}16\mathrm{\:from\:both\:sides}\\\\16 + 5n -16 > n - 8 -16\\\\5n >n-24\\\\\mathrm{Subtract\:}n\mathrm{\:from\:both\:sides}\\\\5n-n>n-24-n\\\\\mathrm{Simplify}\\\\4n>-24\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4n}{4}>\frac{-24}{4}\\\\n>-6

Thus the soultion is n > -6

8 0
3 years ago
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