Find the distance between 2-4i and d 6+i

Mathematics

1 answer:

nlexa [21]3 years ago

7 0

How do you find the distance between two complex numbers?

For two points in the complex plane, the distance between the points is the modulus of the difference of the two complex numbers. (s − a)+(t − b)i = (s − a)2 + (t − b)2. So, d = (s − a)2 + (t − b)2 is the difference between the two points in the complex plane.

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What is the value of w?

DedPeter [7]

The side opposite the 30o angle is 1/2 W. That is just a property of a 30 - 60 - 90 triangle. Use that fact to set up the pythagorean relationship.

w^2 = (1/2 w)^2 + (7 * sqrt(3)) ^2
w^2 = 1/4 w^2 + 49*3
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3 years ago

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Factor completely 4x2 16x. 4x(x 4) x(4x 4) 4(x2 4x) Prime.

vladimir2022 [97]

Answer:

$4x(x+4)$

Step-by-step explanation:

With the expression $4x^{2} +16x$ , start by looking to see if you can take out any x-values. As you can see, both $4x^{2}$ and $16x$ have an x to the first power. You can factor that out, leaving you with the expression $x(4x+16)$ . Now you look for the largest numerical value that you can take out. Both 4 and 16 are divisible by 4, so you can factor out the number 4, leaving you with the expression $4x(x+4)$ .