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Oksana_A [137]
3 years ago
5

What is the distance between -2-3i and 3+9i

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0

Answer:

d = 13

Step-by-step explanation:

The distance formula in a complex plane is \sqrt{(s-a)^{2} + (t-b) }. Let us say that points (a,b) are (-2,-3) and points (s,t) are (3,9), both coordinates derived from given. Substitute the numbers into the equation to get the distance.

d = \sqrt{(3-(-2))^{2} + (9-(-\\3))^{2} }

d = 13

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A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boats resultant vector?
Delicious77 [7]

The magnitude of the boats resultant vector is 314.1 mi

<h3>What is a vector?</h3>

A vector is a physical quantity that has both magnitude and direction.

<h3>What is a resultant vector?</h3>

A resultant vector is the sum of two or more vectors.

<h3>How to find the boats resultant vector?</h3>

Since the boat sails 285 miles south and then 132 miles west, we have that its first direction vector is r = (285 mi)j. Also, its direction vector west is r' = -(132 mi)i

So, the resultant vector R = r + r'

=  (285 mi)j + (132 mi)i

=  (132 mi)i + (285 mi)j

So, the magnitude of the resultant vector is R = √(r² + r'²)

So, substituting thevalues of the variables into the equation, we have

R = √(r² + r'²)

R = √((285 mi)² + (132 mi)²)

R = √(81225 mi² + 17424 mi²)

R = √(98649 mi²)

R = 314.08 mi

R ≅ 314.1 mi

So, the resultant vector is 314.1 mi

Learn more about magnitude of resultant vector here:

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8 0
1 year ago
ashly lives 3/4 miles from her school. She walked 1/2 of the way from her home draw a model and work. and you have to do 3/4 x 1
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Answer:

3/8?

Step-by-step explanation:

4 0
2 years ago
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The sum of two numbers is 31.5. The difference is 5.25. Find the numbers
ANTONII [103]
X+y=31.5
x-y=5.25

add 2 equations
x+y+x-y=31.5+5.25
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Solution

Step 1

The opposite angles of a parallelogram are equal:

Step 2

85\text{ + y  =  3y - 15}

The equation is made true by the opposite angles theorem is

85 + y = 3y - 15

or

y = 50

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YES MA'AM

Step-by-step explanation:

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