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3 years ago

If you quadratic equation has two complex roots and one of the roots is x+2i, what is the second root?

Mathematics

1 answer:

Tanzania [10]3 years ago

4 0

Answer:

x-2i

Step-by-step explanation:

Complex roots come in pairs, called complex conjugates

If you have a root a+bi, the other root is a-bi

Since you have one root x+2i, the other root is x-2i

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Whats the least common denominator of the expression g to the second power over 9 minus g to the second power plus 14 plus g ove

creativ13 [48]

Answer:

The least common denominator of the expression is 72g.

Step-by-step explanation:

First, let us write the expression out mathematically

$\frac{g^{2} }{9} - g^{2} + 14 + \frac{g}{24g} + 8g^{2}$

The denominators in the expression are 9 and 24g. To find the least common denominator, we will determine the least common multiple of the numbers (9 and 24) first, and then find the least common multiple of the result and g (since it is the only letter).

Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...

Multiples of 24 = 24, 48, 72, 96, ...

The least common multiple of 9 and 24 is 72.

Then, the least common multiple of 72 and g is 72g

Hence, the least common denominator of the expression is 72g.

7 0

2 years ago

Solve the following inequality. 2x + 2(x+5) <+4(8 – 20)

Ilia_Sergeevich [38]

Answer:

x <-14.5

Step-by-step explanation:

2x + 2(x+5) <+4(8 – 20)

Distribute

2x+2x+10 < 4 (-12)

4x +10 < -48

Subtract 10 from each side

4x+10-10 <-48-10

4x< -58

Divide each side by 4

4x/4 < -58/4

x <-14.5

3 0

2 years ago

Is the number rational or irrational?

Maru [420]

Well an an irrational number is a real number that cannot be expressed as a ratio of integers, i.e. as a fraction. A rational number is a number that can be written as a ratio. So 3/7 is a rational number, 0.38(with a line saying its continuous over .38) is rational, Square of 7/9 is irrational number, and 5 pi is an irrational number.

5 0

2 years ago

Read each statement then select whether it is true or false.

Marina CMI [18]

Answer:

1) true

2) false

3) false

4)True

4 0

2 years ago

Can I get the answer for the questions at the bottom

aniked [119]

27)

Equation of the existing water pipe's line

a) slope, m = rise / run = Δy / Δx = 3/2

b) y-intercept, b = 3

equation: y = mx + b = (3/2)x + 3

Equation of the new water pipe's line

slope, m = - 1 / (slope of the perpendicular line) = - 1 / (3/2) = - 2/3

point (0,2)

=> y - 2 = (-2/3) (x - 0) => y = (-2/3)x + 2 <---- equation of the new pipe

28)

two parallel lines have the same slope =>

slope, m = rise / run = Δy / Δx = [4 - 0] / [11 - 8] = 4 / 3

point (4,5) => y - 5 = (4/3) (x - 4)

=> y = (4/3)x - 16/3 + 5 = (4/3)x - 1/3

y = (4/3)x - 1/3 <--- equation of the new bike path

6 0

3 years ago