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3 years ago

Write the number in the form a+bi square root of -64+2?

Mathematics

1 answer:

Igoryamba3 years ago

5 0

Answer:

$\sqrt{-64}+2=2+8i$

Step-by-step explanation:

$i=\sqrt{-1}\\\\\sqrt{-64}=\sqrt{(64)(-1)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ for\ a\geq0\ and\ b\geq0\\\\=\sqrt{64}\cdot\sqrt{-1}=8\cdot i=8i\\\\\text{Therefore:}\\\\\sqrt{-64}+2=8i+2=2+8i$

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Evaluate 2(x + 1) - 3 when x = 6. A. 11 B. 5 C. 10 D. 8

Montano1993 [528]

Answer:

Step-by-step explanation:

using PEMDAS, u have to do parentheses first, x is equal to 6, so thats 7. then u multiply 7 times 2 and thats 14. then u subtract 14 minus 3 and thats 11. Hope this helps

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3 years ago

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Joe bikes at the speed of 30 km/h from his home toward his work. If Joe's wife leaves home 5 mins later by car, how fast should

GuDViN [60]

Answer:

Joe's wife must drive at a rate of 45km/hour.

Step-by-step explanation:

We are given that Joe leaves home and bikes at a speed of 30km/hour. Joe's wife leaves home five minutes later by car, and we want to determine her speed in order for her to catch up to Joe in 10 minutes.

Since Joe bikes at a speed of 30km/hour, he bikes at the equivalent rate of 0.5km/min.

Then after five minutes, when his wife leaves, Joe is 5(0.5) or 2.5 km from the house. He will still be traveling at a rate of 0.5km/min, so his distance from the house can be given by:

$2.5+0.5t$

Where t represents the time in minutes after his wife left the house.

And since we want to catch up in 10 minutes, Joe's distance from the house 10 minutes after his wife left will be:

$2.5+0.5(10)=7.5\text{ km}$

Let s represent the wife's speed in km/min. So, her speed times 10 minutes must total 7.5 km:

$10s=7.5$

Solve for s:

$\displaystye s=0.75\text{ km/min}$

Thus, Joe's wife must drive at a rate of 0.75km/min, or 45km/hour.

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3 years ago

Distance between (0,2) and (0,4)

Lorico [155]

There are many ways to do this, I prefer the distance formula it looks like this:
$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
We are given 2 pairs of coordinates: (0,2) and (0,4)
0=x1
2=y1
0=x2
4=y2
We take the numbers and sub in the values above in place of the variables:
$\sqrt{(0-0)^2+(4-2)^2}$
Simplfy it:
$\sqrt{(0)^2+(2)^2}$
0^2=0
2^2=4
We are left with :
$\sqrt{4}$
$\sqrt{4} =2$
Final answer: 2

5 0

3 years ago

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The square of a number is 3 less than four times the number. Which values could be the number? 0 0 -3 O 1

grigory [225]

Answer:

3 and/or 1.

Step-by-step explanation:

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3 years ago

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Hey I’m struggling with number 13 so please show your work. Thx

Dafna11 [192]

Answer:

$\frac{5}{12}$

Step-by-step explanation:

Because $\frac{3}{5}$ is being multiplied by S, we can divide $\frac{3}{5}$ from both sides of the equation. This will give us:

$\frac{1}{4}$ ÷ $\frac{3}{5}$

But, that looks a bit hectic. Instead of dividing, you can multiply by the reciprocal (which is essentially how to divide fractions). So, instead of $\frac{1}{4}$ ÷ $\frac{3}{5}$ , you get:

$\frac{1}{4}$ × $\frac{5}{3}$

When multiplying fractions, remember you can just multiply straight across-- numerator x numerator, then denominator x denominator.

By doing that, you get the fraction $\frac{5}{12}$

$\frac{5}{12}$ cannot be simplified any more, so S= $\frac{5}{12}$ is your answer :)

I hope this helps

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3 years ago