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andreev551 [17]
3 years ago
13

Select the correct answer.

Mathematics
1 answer:
Llana [10]3 years ago
8 0

Answer:

\huge\boxed{x=2\ and\ y=-3}

Step-by-step explanation:

22(x+yi)+(28+4i)=72-62i\\\\22x+22yi+28+4i=72-62i\\\\(22x+28)+(22y+4)i=72-62i\Rightarrow22x+28=72\ \wedge\ 22y+4=-62\\\\22x+28=72\qquad|\text{subtract 28 from both sides}\\22x=44\qquad|\text{divide both sides by 22}\\\boxed{x=2}\\\\22y+4=-62\qquad|\text{subtract 4 from both sides}\\22y=-66\qquad|\text{divide both sides by 22}\\\boxed{y=-3}

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Evaluate the expression
ruslelena [56]

Answer: 85

Step-by-step explanation:

To solve this problem, we want to use the order of operations, or PEMDAS.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

To be more specific, you evaluate the expression in the order from top to bottom. To clarify, it is multiply OR divide, depending on which comes first, left to right. This also applies to add OR subtract.

------------------------------------------------------------------------------------------------------------

20÷(5-3)+5²(3)                              [solve parenthesis]

20÷(2)+5²(3)                                 [solve exponent]

20÷2+25(3)                                   [solve multiply or divide, left to right]

10+75                                             [solve add or subtract]

85

7 0
3 years ago
Read 2 more answers
Express 8cm as a fraction of 2 metres ​
vodka [1.7K]

Answer:

1/25

Step-by-step explanation:

There are 100 cm in a meter.

100 x 2(metres) = 200

8/200 cm

Now, simplify:

4/100 -> 2/50 -> 1/25

1/25

7 0
3 years ago
The sum of two numbers is 842. The difference is 314. Find the numbers.
Readme [11.4K]

Let's call the two numbers x and y.

We know that x+y = 842 and that x-y = 314

Now that we have two equations, we can solve using substitution by solving for one variable in one of the equations, and plugging that in for the same variable in the other equation.

Lets solve for x in the second equation to get:

x = 314 + y

Now plug in 314+y for x in the first equation:

(314 + y) + y = 842

Combine like terms:

314 + 2y = 842

Now solve for y:

2y = 842-314

2y = 528

y = 264

Finally, plug 264 in for y to solve for x:

x + 264 = 842

x = 842-264

x = 578

The two numbers are 578 and 264.

4 0
3 years ago
If a standard dice ius rolled 50 times what s the theretical probibility of rolling a 4
saul85 [17]

We seems to be being asked the probability of rolling at least one four in fifty tries, which should be pretty high. As usual with "at least" questions, we write

p = P(at least one 4) = 1 - P(no fours at all)

The probability of a four on one roll is of course 1/6, so the probability for "not a four" is 1-1/6=5/6. We want the probability of a conjunction of 50 independent events: no four on the first roll and no four on the second roll and...

For a conjunction of independent events we multiply their probabilities. That's 5/6 times itself 50 times. So our answer is

p = 1 - \left( \frac 5 6 \right)^{50}

If we need a decimal approximation, it's

p \approx 0.999890 = 99.9890\%


6 0
4 years ago
2. Use the image below to answer problems A-C. Show all work.
Yakvenalex [24]
<span>A. Calculate the value of x.</span>
6 0
3 years ago
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