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3 years ago

If u=(3+2i) and v=(3-2i) what is uv?

Mathematics

2 answers:

Vika [28.1K]3 years ago

6 0

Answer:

13.

Step-by-step explanation:

uv = (3 + 2i)(3 - 2i)

= 9 - 6i + 6i - 4i^2 Note that i^2 = -1 so we have

9 -4 * -1

= 13.

notka56 [123]3 years ago

5 0

Answer:

Step-by-step explanation:

u=(3+2i) v=(3-2i)

uv = (3+2i)(3-2i)

FOIL

first: 3*3 = 9

outer: -2i*3 = -6i

inner: 2i*3 = 6i

last = 2i*-2i = -4i^2 =-4 (-1) = 4

Add together

9-6i+6i +4 = 13

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Answer:

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Step-by-step explanation:

The rational number is expressed as a number on the form of $(\frac{p}{q} ) , q \neq 0$

Now,here the given number in decimal form = 0.1777

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3 years ago

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Step-by-step explanation:

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3 years ago

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kodGreya [7K]

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See below, please

Step-by-step explanation:

$(2x + 9) + (4x - 3) = 90$

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Hence

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3 years ago

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4 years ago

Simplify the given equation.

Ede4ka [16]

Answer:

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Part 2) $x=27$

Step-by-step explanation:

Part 1) Simplify the given equation

we have

$6 - (3x + 10)+4(2 - x)=15$

In the left side, remove the parenthesis and apply the distributive property

Remember that

$(-1)(+1)=-1\\(-1)(-1)=+1$

$6 -3x-10+4(2)-4(x)=15$

$6 -3x-10+8-4x=15$

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$4=15+7x$

subtract 15 both sides

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Divide by 7 both sides

$x=-\frac{11}{7}$

Part 2) Solve for x.

$5(x + 1) = 4(x + 8)$

Apply distributive property both sides

$5x+5=4x+32$

Group terms that contain the same variable

$5x-4x=32-5$

Combine like terms

$x=27$

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4 years ago