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3 years ago

Quick! Find the results of the given vector subtractions for u = <-8, 4> and v = <2, 7>.

Mathematics

1 answer:

Jobisdone [24]3 years ago

8 0

Subtract corresponding x and y components

- u - v = - <- 8, 4> - <2, 7> = <8, - 4> - <2, 7> = <8 - 2, - 4 - 7> = <6, - 11>

u - v = <- 8, 4> - <2, 7> = <- 8 - 2, 4 - 7> = <- 10, - 3>

v - u = <2, 7> - <- 8, 4> = <2 + 8, 7 - 4> = <10, 3>

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Multiply (2 -10i) (-5 + 3i) Show each step for credit!

jonny [76]

Answer:

The answer is

Step-by-step explanation:

(2 -10i) (-5 + 3i)

Using FOIL multiply each term in the first bracket by the terms in the second <u>bracket</u>

That's

2(-5) + 2(3i) - 10i(-5) - 10i(3i)

<u>Multiply the numbers and simplify</u>

We have

- 10 + 6i + 50i - 30i²

From the rules of imaginary numbers

So we have

- 10 + 56i - 30(- 1)

- 10 + 56i + 30

Simplify

30 - 10 + 56i

We have the final answer as

Hope this helps you

5 0

3 years ago

What's -5.25 as a whole number

koban [17]

That is technically impossible but I can put this into a mixed fraction which is -5 1/4

4 0

3 years ago

A survey was conducted with 100 people. 20% said they liked Star Trek , 75% said they liked Star Wars, and 10% said they liked b

Roman55 [17]

Answer:

The probability is 1/4 or 25%

Step-by-step explanation:

Since 100% matches the 100 value, we can have the percentage as the number of people that actually likes a particular movie

This mean; 20 people liked star Trek, 75 people liked Star wars and 10 people liked both

Let the number of people that liked neither be x

Mathematically, we can have the sum as follows for the set notation;

100 = (75-10) + (20-10) + 10 + x

100 = 65 + 10 + 10 + x

100 = 85 + x

x = 100-85

x = 15

What this mean is that 15 persons liked neither

The probability of selecting a random that likes both movies is simply the number of people that liked both/total number of people on the survey

Mathematically, that will be 10/100 = 1/10

For the probability that likes neither, we have the number that liked neither as 15

So the probability of selecting someone from here is 15/100 = 3/20

Since we have or between both probabilities, we will need to add both

So, mathematically, we have it that;

3/20 + 1/10 = (3 + 2)/20 = 5/20 = 1/4 or simply 25%

4 0

2 years ago

The formula for the area of a square is s2, where s is the side length of the square. What is the area of a square with a side l

levacccp [35]

area of square = s²

given s = 6 , then

area = 6² = 36

8 0

3 years ago

Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Aliun [14]

Answer:

Part 1) $c=21.9\ units$

Part 2) $B=61.1\°$

Part 3) $A=28.9\°$

Part 4) $C=90\°$

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

substitute the given values

$c^{2}=10.6^{2}+19.2^{2}$

$c^{2}=481$

$c=21.9\ units$

step 2

Fin the measure of angle B

we know that

In the right triangle

$tan(B)=b/a$

substitute the given values

$tan(B)=19.2/10.6$

$B=arctan(19.2/10.6)=61.1\°$

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

$B=61.1\°$

$C=90\°$

substitute

$A+61.1\°+90\°=180\°$

$A=28.9\°$

4 0

3 years ago