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Sati [7]
3 years ago
10

2x-3yi=14+12i how do I find x and y

Mathematics
2 answers:
vladimir1956 [14]3 years ago
7 0
2x-3yi=14+12i 
=> 2x=14; -3yi=12i => x=7; y=-4
egoroff_w [7]3 years ago
4 0

Answer:

The answers are:

x=7\\y=-4

Step-by-step explanation:

In order to determine the answer, we have to know about complex numbers.

The complex numbers have one difference respect on real numbers, they have an imaginary unit i.

In general, a complex number has the next form:

a+b*i

"a" and "b" are real numbers.

We can not add the imaginary part (where it is the imaginary unit) with the real part.

In this case, we have an equality, where in the right side, we can see a complex number and in the left side, we can see two variables and the imaginary unit. We just have to build two equation: one for the real part and other one for the imaginary part.

2x=14\\x=7\\\\-3y=12\\y=-4

Finally, the values of the variables to fulfil the equality are:

x=7\\y=-4

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Solve 2x2 + 8x + 10 = 0. using this model to he<br> X =<br> -b+ ✓ 62 - 4ac<br> 2a
Lesechka [4]

Answer:

x can have two complex solutions, which are:

-2 + i

-2 - i

Step-by-step explanation:

2x² + 8x + 10 = 0

4x² + 16x + 20 = 0

4x² + 16x + 16 = -4

(2x + 4)² = -4

2x + 4 = √-4

2x =  -4 ± i√4

2x = -4  ± 2i

x = -2 ± i

So x is equal to -2 + i and -2 - i.

8 0
3 years ago
Which is the equation in slope-intercept form for the line that passes through (3, 7)
quester [9]

Answer:

y =  -  \frac{5}{3} x + 12

Step-by-step explanation:

First, rewrite the given equation in the form of y=mx+c.

m is the gradient while c is the y-intercept.

3x-5y=8

5y= 3x -8

y =  \frac{3}{5} x -  \frac{8}{5}

Thus, the gradient of the given equation is ⅗.

The product of the gradients of perpendicular lines is -1.

(gradient of line)(⅗) = -1

gradient of line= -1 ÷⅗

gradient of line= -  \frac{5}{3}

y =  -  \frac{5}{3} x + c

To find the value of c, substitute a coordinate.

When x=3, y=7,

7 =  -  \frac{5}{3} (3) + c

7= -5 +c

c= 7+5

c= 12

Hence, the equation of the line is y =  -  \frac{5}{3} x + 12.

6 0
3 years ago
Tell whether -2 is a solution of the inequality n-5&lt;8
ruslelena [56]

Answer:

-2 is a solution

Step-by-step explanation:

-2-5<8

-7<8

6 0
3 years ago
Y=6x+5 is the equation. what is its gradient
Irina18 [472]
Gradient is synonymous to slope.

y = 6x + 5 is an example of a slope-intercept form of a straight-line equationl.

The slope-intercept equation is like this:

y = mx + b

where : m = slope ; b = "y-intercept"

y = 6x + 5

6 is the slope
5 is the y-intercept.

Since slope and gradient are synonymous, 6 is the gradient of the above equation.
8 0
3 years ago
What square root is larger that the square root of 17
Ymorist [56]

Answer:

i would have to say the square root of 26 since its 5.099

Step-by-step explanation:

8 0
3 years ago
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