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bulgar [2K]
2 years ago
15

Find the distance between -2 and 2+2i

Mathematics
1 answer:
Mars2501 [29]2 years ago
4 0

z=a+bi\\\\|z|=\sqrt{a^2+b^2}\\\\z_1=-2,\ z_2=2+2i\\\\\text{the distance between}\ z_1\ \text{and}\ z_2:\\\\|z_2-z_1|=|-2+2i-2|=|-4+2i|=\sqrt{(-4)^2+2^2}\\\\=\sqrt{16+4}=\sqrt{20}=\sqrt{4\cdot5}=\sqrt4\cdot\sqrt5=\boxed{2\sqrt5}

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2 - ( - 8 ) + ( - 3 ) =
solmaris [256]
Hey!

First, let's write the problem.
2-\left(-8\right)+\left(-3\right)
We know that, -\left(-8\right)=+8, so let's apply that
=2+8+\left(-3\right)
We have to add, 2+8=10
=10+\left(-3\right)
We know that +\left(-3\right)=-3, so let's apply that.
=10-3
Subtract. 10-3=7
=7

Our final answer would be 7!

Thanks!
-TetraFish

3 0
3 years ago
8. What is the correct way to classify the triangle shown below? (1 point)
MissTica
Acute, isosceles (answer)
3 0
3 years ago
Read 2 more answers
A circle has a center at Left-parenthesis 3 comma 5 right-parenthesis. The point Left-parenthesis 3 comma 8 right-parenthesis is
svet-max [94.6K]
The correct answer for this question would be option B) 18.8 units or the second option.
5 0
3 years ago
Find the area of the figure. Round to the nearest tenth if necessary.
baherus [9]

Hello!


First of all, let's find the triangle. As we can see, it is eight units long and four units tall. We can use the triangle formula and half the product.


4(8)=32

32/2=16


Now we need to find the area of the semicircle. We can use circle formulas and half our final answer. We will find the area using A=\pir².


We know that the diameter of this circle is eight. Therefore our radius is 4.


A=4\pi²

A=16\pi


Now we multiply.


16\pi≈50.27


Now we add our triangle.


50.27+16=66.27


The nearest answer to this is B)66.2. It may have been a bit over as we used \pi, not 3.14.


I hope this helps!



3 0
3 years ago
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Andreas93 [3]
I'm not sure for number one, but for number 2 the answer to that one is the second tallest on the chart or on the histogram. For number 3 I'm not sure because i cant see the numbers there too blurry. I'm sorry but i hope i got the second one correct.
3 0
3 years ago
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