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3 years ago

Simplify the expression. 3+i/2-i x 4+i/2+i

Mathematics

2 answers:

saul85 [17]3 years ago

6 0

Answer:

(11 + 7i) / 5

11/5 + 7/5 i

Step-by-step explanation:

(3 + i) / (2 − i) × (4 + i) / (2 + i)

((3 + i) (4 + i)) / ((2 − i) (2 + i))

(12 + 3i + 4i + i²) / (4 + 2i − 2i − i²)

(12 + 7i − 1) / (4 + 1)

(11 + 7i) / 5

11/5 + 7/5 i

cluponka [151]3 years ago

3 0

Answer:

The solution of your problem is 3-2i

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What is the answer to 3x+x/4=x+3/4

erica [24]

Answer:x = 1

Step-by-step explanation:

3x + x/4 = x + 3/4

Subtract x from each side

2x + x/4 = 3/4

Times each side by 4

The 4 beneath the x cancels out

3/4 x 4 = 3

2x + x = 3

3x = 3

Divide each side by 3

x = 1

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3 years ago

Line AB and CD have the following points: A(2, 4), B(9, 8), C(-1, 2), and D(3, -5). Are the lines parallel, perpendicular, or ne

inysia [295]

We are given coordinates of A, B, C and D :

A(2, 4), B(9, 8), C(-1, 2), and D(3, -5).

Now, we need to find the slopes of AB and CD.

Slope of AB is :

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:4\right),\:\left(x_2,\:y_2\right)=\left(9,\:8\right)$

$m=\frac{8-4}{9-2}$

$m=\frac{4}{7}$ .

Slope of CD is:

$m=\frac{-5-2}{3-\left(-1\right)}$

$m=-\frac{7}{4}$ .

<em>Slope of CD is negative reciprocal of slope of slope of AB. </em>

<h3>Therefore, lines AB are CD are perpendicular.</h3>

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3 years ago

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Write an expression for the area of a triangle with a height of 2x^2 units and a base of 5x^2 + 4x units.

m_a_m_a [10]

An expression means that you may not be able to find a final value, and that it is acceptable to have x in the answer.

The formula for the area of a triangle is A=1/2*b*h

A=1/2*(5x^2+4x)*(2x^2) (distribute the 1/2)
A=(5/2x^2+2x)(2x^2) (distribute the 2x^2)
A=5x^4+4x^3

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What is the square root of 125n

vova2212 [387]

Answer:

5*(square root of)5n

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3 years ago

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I need help please !!!!!

olga nikolaevna [1]

I think it’s D is the answer

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