What scale factor was used to dilate figure a to figure b

What is the sum of StartRoot negative 2 EndRoot and StartRoot negative 18 EndRoot? 4 StartRoot 2 EndRoot 4 StartRoot 2 EndRoot i

Sveta_85 [38]

Adding $\sqrt{-2}\,\,and\,\,\sqrt{-18}$ we get $4\sqrt{2i}$

Option C 4 StartRoot 2 EndRoot i is correct.

Step-by-step explanation:

We need to find the sum of: $\sqrt{-2}\,\,and\,\,\sqrt{-18}$

Finding sum:

$\sqrt{-2}+\sqrt{-18}$

$\sqrt{-2}$ can be written as $\sqrt{2}i$

$\sqrt{-18}$ can be written as $\sqrt{18}i$

We know 18 = 2x3x3 = 2x3^2 so,

$\sqrt{2i}+\sqrt{2\times 3^2}i$

$\sqrt{2i}+3\sqrt{2}i$

Adding like terms:

$4\sqrt{2i}$

So, adding $\sqrt{-2}\,\,and\,\,\sqrt{-18}$ we get $4\sqrt{2i}$

Option C 4 StartRoot 2 EndRoot i is correct.

Keywords: Square root expressions

Learn more about Square root expressions at:

#learnwithBrainly

6 0

3 years ago

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The sum of a number,n,and 5

Mnenie [13.5K]

Sum is the answer in addition, so add n and 5

n + 5

6 0

3 years ago

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The balance on Taylor's credit card is $2000. It has an interest rate of 12.5%. She wants to compare the difference between payi

-Dominant- [34]

Answer: kindly check Explanation

Step-by-step explanation:

The balance on card = $2000

Interest rate = 12.5%

Therefore, monthly rate = 12.5% / 12 = 0.0104167

Paying $75 of monthly balance :

Interest amount on 2000 = 0.0104167 × 2000 = $20.83

Therefore,

Principal amount payed = 75 - 20.83 = 54.17

Balance = ($2000 + $20.83) - $75 = 1945.83

Interest on balance = 0.0104167 × 1945.83 = $20.2691

Paying $100 of monthly balance :

Interest amount on 2000 = 0.0104167 × 2000 = $20.83

Therefore,

Repayment = 100 - 20. 83 = $79.17

Balance = ($2000 + $20.83) - $100 = 1920.83

Interest on balance = 0.0104167 × 1920.83 = $20.0087

Interest saved by paying $100 instead of $75

$20.27 - $20.00 = $0.27 = 27 cent

3 0

3 years ago

On a certain hot summer's day, 744 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.00 fo

Natali [406]

Answer:

383 children and 361 adults

Step-by-step explanation:

Let's say there are a adults and c children. Since the total number of people was 744, we can write:

a + c = 744

We also know that children's prices are $1.75 per child and adults' prices are $2 per adult. Since the total is $1392.25, we can write:

1.75c + 2a = 1392.25

Now we have a system of linear equations:

a + c = 744

1.75c + 2a = 1392.25

Multiply the first equation by 2:

2 * (a + c = 744) ⇒ 2a + 2c = 1488

Now subtract the second equation from this one:

2a + 2c = 1488

- 2a + 1.75c = 1392.25

___________________

0a + 0.25c = 95.75

c = 383

Plug this in to find a:

a + c = 744

a + 383 = 744

a = 361

There were 383 children and 361 adults.

5 0

3 years ago

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It has been claimed that, for a penny minted in 1999 or earlier, the probability of observing heads upon spinning the penny is p

telo118 [61]

Answer:

accept Null hypothesis at ∝ = 0.05

Step-by-step explanation:

To test the hypothesis that: X is b( 3, 0.3 ) ( Null hypothesis )

Let X = number of heads out of three spins

In three spins there were 4 outcomes

Ao = 0 , A1 = 1 , A2 = 2 , A2 = 3 { 0,1,2,3 } outcomes in three spins

next: lets determine the probability of each result

attached below is the detailed solution

H0 : pi = pio

where i = 0,1,2,3

8 0

3 years ago