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Elodia [21]
3 years ago
7

Is y-4=2(x-2) and 4x-2y=5 perpendicular

Mathematics
1 answer:
djyliett [7]3 years ago
7 0

Answer:

Therefore,

Slopes are Equal, Hence the Lines are not Perpendicular.

Step-by-step explanation:

Given:

y-4=2(x-2)=2x=-4\\\\y=2x .......Equation ( 1 )

4x-2y=5\\2y=4x-5\\\\y=2x-\dfrac{5}{2}  .......Equation ( 2 )

Comparing with,  

y=mx+c ......General Slope point form  

Where m =slope  

We get  

Slope = m1 = 2   For Equation ( 1 )

Slope = m2 = 2   For Equation ( 2 )

Hence,

m1=m2[=2

Therefore, Slopes are Equal Hence the Lines are Parallel not Perpendicular.

For Perpendicular we require

m1\times m2=-1

Therefore,

Slopes are Equal, Hence the Lines are not Perpendicular.

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Please explain your answer and I'll mark the Brainliest! Which complex number is the graph showing?
zheka24 [161]

Answer:

A 2√2(cos 7π/4 + i sin 7π/4)

Step-by-step explanation:

A. 2√2(cos 7π/4 + i sin 7π/4)

2 sqrt(2) ( sqrt(2)/2 - sqrt(2)/2 i)

Distribute

  2-2i

This is in the fourth quadrant  

B. 2√2(cos 150° + i sin 150°)

2 sqrt(2) (-sqrt(3)/2 +1/2i)

-sqrt(6) +sqrt(2) i

This is in the third quadrant (NO)

C. 2(cos 7π/4 + i sin 7π/4)

2( ( sqrt(2)/2 - sqrt(2)/2 i))

sqrt(2) - sqrt(2) i

This is the fourth quadrant

D. 2(cos 90° + i sin 90°)

2(0+i)

2i

This is on the positive y axis  NO

Now we need to decide between the two in the fourth quadrant.

The point has an x coordinate of 2 and a y coordinate of -2

This aligns with point A

8 0
3 years ago
Which point is closest to 7 on the number line?<br> ET<br> C0
liraira [26]

Answer: ET

Step-by-step explanation:

7 0
3 years ago
Which line is parallel to the line 8x + 2y = 12?<br> 19
Katen [24]

Answer:

4x + y =6

Step-by-step explanation:

Line 8x + 2y = 12 is parallel to the line 4x + y = 6.

7 0
3 years ago
For the function g(x) = x – 2x^2, find g (–3) + 13
svp [43]

Answer:

<h2>g( - 3) + 13 = - 2</h2>

Step-by-step explanation:

g(x) = x - 2x²

To find g( - 3) + 13 substitute the value of x that's - 3 into g(x) and add 13 to it

We have

g( - 3) + 13 = - 3 - 2(-3)² + 13

= -- 3 - 2(9) + 13

= 3 - 18 + 13

We have the final answer as

<h3>g( - 3) + 13 = - 2</h3>

Hope this helps you

8 0
3 years ago
Please help me!<br> Please!
nasty-shy [4]
The answer would be a
5 0
3 years ago
Read 2 more answers
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