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My name is Ann [436]
3 years ago
9

Write the equation of the line going through the point (4,6) that is perpendicular to the lie 3x+6y=12

Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0
3x + 6y = 12
6y = - 3x + 12
y = - 1/2x + 2

Since your slope is - 1/2, we take the opposite reciprocal to find the perpendicular slope. Your perpendicular slope is 2. 

y = 2x + b

Plug in the point to solve for b and get your final line. 

6 = 2(4) + b
6 = 8 + b
6 - 8 = b
- 2 = b

y = 2x - 2 is your perpendicular line
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¡¡¡40 POINTS!!!HELP ASAP!!
Nataly_w [17]
Hi there!

To start, we can use the two points to find the slope using the formula y2-y1/x2-x1. Just sub in the points and solve!

-0.5-0.5/3-(-3)
-1/6
Sub that into the formula y-mx+b for m, and use one of the points for x and y - solve for b and you get your equation. 

y=mx+b
y=-1/6x+b
0.5=-1/6*-3+b
0.5=-0.5+b
0.5+0.5=b
b=1

Therefore your equation is y=-1/6x+1

Hope this helps!



8 0
3 years ago
Please help me with this​
aliya0001 [1]

Answer and Step-by-step explanation:

1/2x is positive and 2 is negative, so they cross each other perpendicularly, and the equation needs to be at -13 y, 0 x

The answer is y = -2x - 13

#teamtrees #WAP (Water And Plant)

7 0
3 years ago
A graph is shown in the picture. Which root has the multiplicity of 3?
kari74 [83]
I think the awnser is c
8 0
2 years ago
Which number should.be added to the data so that the range of the data is 31? 54,72,64,57
Sergio039 [100]

Answer:  41 or 85

<u>Step-by-step explanation:</u>

Range is the difference between the largest number and the smallest number.

The largest number is 72.  72 - 31 = 41

The smallest number is 54.  54 + 31 = 85

Adding either ONE of those numbers will result in a range of 31.

3 0
3 years ago
Write the ratio in fractional notation in lowest terms. 28 inches to 42 inches
ivolga24 [154]

28 to 42 means 28/42

We now reduce 28/42 to lowest terms.

28 ÷ 7 = 4

42 ÷ 7 = 6

We now have 4/6.

We now reduce 4/6.

4 ÷ 2 = 2

6 ÷ 2 = 3

Final answer: 2/3

7 0
3 years ago
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