All categories

3 years ago

Simplify the expression!

Mathematics

1 answer:

Lapatulllka [165]3 years ago

8 0

$\bf \textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] ~\dotfill\\\\ (9+2i)(9-2i)\implies [9^2~-~(2i)^2]\implies [81-(2^2i^2)]\implies [81-\stackrel{i^2 = -1}{(4\cdot -1)}] \\\\\\ 81-(-4)\implies 81+4\implies 85$

You might be interested in

If there were 45 cars In a line that stretched 454 feet, what is the average car length?

jolli1 [7]

45 cars=454

Divide 45 on both sides to get the average length of a single car

1 car = 10.01 ft

7 0

3 years ago

Tim has two spinners , spinnerA and spinner B. Each spinner can only land on red or blue . The probability that spinner A will l

Ganezh [65]

Answer:

Step-by-step explanation:

Spinner A

Probability of red = 0.5,
Probability of blue = 0.5

Spinner B

Probability of red = 0.6,
Probability of blue = 0.4

Probability of both A and B land on red:

0.5*0.6= 0.3

Number of attempts to get outcome of 84 red on both spinners is:

84/0.3= 260

Probability of both spinners land on blue:

0.5*0.4= 0.2

Estimated number of both spinners land on blue:

260*0.2= 52

4 0

3 years ago

Greg is participating in a 4 -day cross-country biking challenge. He biked for 63 , 54 , and 62 miles on the first three days. H

KatRina [158]

Greg needs to bike 57 miles on the last day so that his average is 59 miles per day.

4 0

3 years ago

Read 2 more answers

How do you graph 2x+1

PilotLPTM [1.2K]

Here is the graph to answer your question. Hope it helped!

7 0

3 years ago

Write the negation of: If we lose electricity, then the data will be lost.

Aleks04 [339]

Step-by-step explanation:

Consider the provided statement.

If we lose electricity, then the data will be lost.

We are need to write the negation of the above statement.

First divide the whole statement in two parts

Let us consider p = We lose electricity and q = The data will be lost.

The symbol use for negation is tilde $\sim$

$\sim(p\rightarrow q)$

$p\wedge \sim q$

Represent T for true and F for False.

The required table is shown below:

p q $(p\wedge \sim q)$

F F F

F T F

T F T

T T F

Hence the required table is shown above.

5 0

3 years ago