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xenn [34]
3 years ago
8

Write the equation of a line that is BOTH PARALLEL and PERPENDICULAR

Mathematics
1 answer:
aniked [119]3 years ago
4 0

Answer:

Parallel line: y=-x+27

Perpendicular line: y=x+3

Step-by-step explanation:

y=mx+b, where m is the slope and b is the y-intercept.

Rearrange '2x+4y=16' to fit this format:

2x + 4y = 16

x+y=8

y=-x+8

<u>Parallel line</u>

If two lines are parallel, they have the same slope. So our equation goes from y=mx+b to y=-x+b. We know the line goes through (12,15), so we sub this in to get b:

15=-12+b

b=27

So our equation is y=-x+27

<u>Perpendicular line</u>

If two lines are perpendicular, the slope of one line is the negative inverse of another: eg, if a line had slope=3, the line perpendicular to it would have slope=-1/3. The negative inverse of -1 is 1, so our equation goes from y=mx+b to y=x+b.We know the line goes through (12,15), so we sub this in to get b:

15=12+b

b=3

So our equation is y=x+3

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Answer:

The given statement is true because the person they did their steps correctly

a) Locate a point C so that ABC is a right triangle with m ACB ∠ = ° 90 and the measure of one of the acute angles in the triangle is 45° .

b) Locate a point D so that ABD is a right triangle with m ADB ∠ = ° 90 and

the measure of one of the acute angles in the triangle is30° .

c) Locate a point E so that ABE is a right triangle with m AEB ∠ = ° 90 and

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3 years ago
PLZ HELP ME DO THIS ITS DUE RN
Ostrovityanka [42]

Answer:

least to greatest: -5 and 1

Step-by-step explanation:

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What equation can I use to get 6 with the numbers 9,2,10,7,6
alekssr [168]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
9. Write the slope-intercept form of the equation of the line through the given points. Write answer as y=mx+b. through: (-4, 5)
densk [106]

Answer:

y = -x + 1

Step-by-step explanation:

(-4,5) (1,0)

Find distance through a number line.

Distance(Slope):

(5,-5)

Slope form:

y/x, Apply:

-5/5

Reduce:

-1/1 or -1

To find the y-intercept get x to be at zero and see where y ends. Let's use the point (1,0):

(1,0) use slope -1x to get x to zero:

= (0,1)

y-intercept: (0,1)

Now write in slope-intercept form:

y = mx + b

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y = -1x + 1 or y = -x + 1 or y = -1/1x + 1

3 0
3 years ago
Read 2 more answers
after working for 25 hours, Lamar made $375. After working 40 hours, Lamar made $600. Predict how much he would make after 10 ho
Tcecarenko [31]
375÷25=15
600÷40=15
so his pay is 15 dollars per hour.
now multiply 15×10=150
6 0
3 years ago
Read 2 more answers
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