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vlabodo [156]
3 years ago
12

Please help me I have to turn in by 8:00

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
7 0

Answer:

A 2

Step-by-step explanation:

When we divide x by 9 there is some whole number we will call y plus a remainder of 4

x/9 = y  remainder 4

Writing this in fraction form

x/9 = y + 4/9

Multiplying each side by 9

9*x/9 = 9* y + 4/9 *9

x = 9y +4

Multiply each side by 2

2x = 2*(9y+4)

2x = 18y +8

Add 3 to each side

2x+3 = 18y +8+3

2x+3 = 18y +11

Divide each side by 9

(2x+3)/9 = 18y/9 +11/9

              = 2y + 9/9 +2/9

               =(2y+1 + 2/9)

  We know y is a whole number and 1 is a whole number so we can ignore 2y +1 when looking for a remainder)

2/9 is a fraction

Taking this back from fraction form to remainder from

                 (2y+1) remainder 2

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Find the equation of the line that is perpendicular to the line
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Answer:

y=-x+16

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)

<u>1) Determine the slope (m)</u>

y=x-9

Rewrite the equation

y=1x-9

Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into y=mx+b:

y=-1x+b\\y=-x+b

<u />

<u>2) Determine the y-intercept (b)</u>

y=-x+b

Plug in the given point (7,9) and solve for b

9=-7+b

Add 7 to both sides to isolate b

9+7=-7+b+7\\16=b

Therefore, the y-intercept is 16. Plug this back into y=-x+b:

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