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3 years ago

6

A smartphone has a screen that has a width of x and a height that is 1.8 times the width. The outer dimensions of the phone are

shown.
Write an expression for the portion of the phone that is not occupied by the screen. Assume that the phone is rectangular.

1 answer:

Anastaziya [24]3 years ago

8 0

Answer: 4.8x+3

Step-by-step explanation:

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Which values of x and y would make the following expression represent a real number? (4+5i)(x+yi)

algol [13]

Answer:

So x=4 and y=-5 would work.

Step-by-step explanation:

When you multiply complex conjugates, you get a real result.

Example:

$(a+bi)(a-bi)=a^2-b^2i^2=a^2+b^2$

I replace $i^2$ with -1 since $i^2=-1$ .

$a^2+b^2$ is a real number (there is no imaginary part, no i).

So what is the conjugate of 4+5i?

4-5i

So x=4 and y=-5 would work.

A multiple of the complex conjugate would work as well.

$(a+bi)(ca-cbi)$

$c(a+bi)(a-bi)$

$c(a^2-b^2i^2)$

$c(a^2+b^2)$

This is still a real number; there is no imaginary part,no i.

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