Simplify in standard form 8+5i/5+2i

<img src="https://tex.z-dn.net/?f=%284%20-%203i%29x%5E%7B2%7D" id="TexFormula1" title="(4 - 3i)x^{2}" alt="(4 - 3i)x^{2}" align=

olga nikolaevna [1]

Answer:

(4−3i)x^2

=4x^2 - 3ix^2

3 0

2 years ago

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20 business cards are placed in a hat, 10 belong to women, 10 belong yo men If 2 cards are drawn at once. what's the probability

erik [133]

Answer:

First choice:

$\large\boxed{\large\boxed{5/19}}$

Explanation:

The probability that the first is a man's card and the second, a woman's card is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards in the hat has changed.

In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.

1. Probability that the first is a man's card

Number of cards in the hat = 20 (the 20 business card)

Number of man's card in the hat: 10

Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.

2. Probability that the second is a woman's card

Number of cards in the hat = 19 (there is one less card in the hat)

Number of wonan's card in the hat: 10

Probability = favorable oucomes / possible outcomes = 10/19.

3. Probability that the first is a man's card and the second, a woman's card

(1/2) × (10/19) = 5/19

That is the first choice.

5 0

2 years ago

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Trina has two brothers. one brother is 7 years older than trina and the other brother is 7 years younger than trina. the product

AlladinOne [14]

(a) 95 = (x+7)*(x-7)

(b) 95 = (x+7)*(x-7)
Expand the brackets:
95 = x² -7x + 7x -49 = x² - 49
Subtract x² from both sides:
95-x² = -49
Subtract 95 from both sides:
-x²=-49-95
-x²= -144
Divide both sides by -1 to get rid of the negative numbers:
-x²/-1=-144/-1
x²=144
Take the square root of 144:
x = ± squareroot of 144
x = 12 or -12
x = 12 because you cannot have a negative age so Trina is 12 years old.

7 0

2 years ago

Amy is solving the equation using the steps shown.

Delicious77 [7]

The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

$\mathbf{(x^2 - 16)(x + 2) = 0}$

The possible next steps are:

1. Expand the equation as follows

$\mathbf{x^3+2x^2-16x-32 = 0}$

2. Express x^2 -16 as a difference of two squares as follows

$\mathbf{(x + 4)(x- 4)(x + 2) = 0}$

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give $\mathbf{(x + 4)(x- 4)(x + 2) = 0}$

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is $\mathbf{(x + 4)(x- 4)(x + 2) = 0}$