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Dovator [93]
3 years ago
5

3-(2x-5) +4 4 +6(x+3)-(x-2)+7 -4x(x-2)+3-(6-2x)

Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

Answer:

1st solution is -2x+12

2nd solution is 5x+31

3rd one doesnt have a solution

Step-by-step explanation:

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Hcf and lcm of 54,18,90
Inessa05 [86]
HCF is 6

That should be your answer

Prayers xx
8 0
3 years ago
Find the real numbers x and y if -3+ix^2y and x^2+y+4i are conjugate of each other. Pls solve with the steps
Firdavs [7]
ANSWER
x = ±1 and y = -4.
Either x = +1 or x = -1 will work

EXPLANATION
If -3 + ix²y and x² + y + 4i are complex conjugates, then one of them can be written in the form a + bi and the other in the form a - bi. In other words, between conjugates, the imaginary parts are same in absolute value but different in sign (b and -b). The real parts are the same

For -3 + ix²y
⇒ real part: -3
⇒ imaginary part: x²y

For x² + y + 4i
⇒ real part: x² + y (since x, y are real numbers)
⇒ imaginary part: 4

Therefore, for the two expressions to be conjugates, we must satisfy the two conditions. 

Condition 1: Imaginary parts are same in absolute value but different in sign. We can set the imaginary part of -3 + ix²y to be the negative imaginary part of x² + y + 4i so that the 

   x²y = -4 ... (I)

Condition 2: Real parts are the same

   x² + y = -3 ... (II)

We have a system of equations since both conditions must be satisfied

   x²y = -4 ... (I)
   x² + y = -3 ... (II)

We can rearrange equation (II) so that we have

   y = -3 - x² ... (II)

Substituting into equation (I)

   x²y = -4 ... (I)
   x²(-3 - x²) = -4
   -3x² - x⁴ = -4
   x⁴ + 3x² - 4 = 0
   (x² + 4)(x² - 1) = 0
   (x² + 4)(x-1)(x+1) = 0

Therefore, x = ±1.
Leave alone (x² + 4) as it gives no real solutions.

Solve for y:

   y = -3 - x² ... (II)
   y = -3 - (±1)²
   y = -3 - 1
   y = -4

So x = ±1 and y = -4. We can confirm this results in conjugates by substituting into the expressions:

   -3 + ix²y 
   = -3 + i(±1)²(-4)
   = -3 - 4i

   x² + y + 4i
   = (±1)² - 4 + 4i
   = 1 - 4 + 4i
   = -3 + 4i

They result in conjugates
4 0
3 years ago
Read 2 more answers
Help ASAP also Pls put explanation along with answer (#7)
uysha [10]
I first think that you need to do 64 squared which is 8 then add the other 8 then you have 16 then do 16 square which equals 4 then I think you do 4 x 3 then add 25 then you get your answer..... hopefully
8 0
3 years ago
Answer ALL if u cant see all the answers it don't matter all u need is the question
bekas [8.4K]
I'm probably wrong but I think A.
4 0
3 years ago
Determine what the next number in the sequence should be. 99.5, 98.5, 97, 95, 92.5, 89.5?
otez555 [7]

Answer:

87.5

Step-by-step explanation:

-2

8 0
3 years ago
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