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3 years ago

Determine the magnitude of the difference of the following vectors: 7-7

Mathematics

1 answer:

tia_tia [17]3 years ago

8 0

Hi there! Let’s see if I can help you <3

The Answer is: 15.81!

Here’s the step by step explication:

First we must find the difference of U and V: (7i-12j)-(-2i+j)

Distributed all out will equal: 9i-13j

We can then go ahead and use Pythagorean therm to find the magnitude: V = Square root of (9)^2 + (-13)^2

This equals Square root of 250!

Depending on the form your teacher wants to answer in it would finally be 5 square roots of 10 or in decimal form; approximately 15.8114!

HOPE IT HELPED YOUUU <3

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Solve this for Brainliest! See the attachment [Level - GCSE]

madreJ [45]

Answer:

$x = 3 + 4\sqrt{3}$

Step-by-step explanation:

OPQ is a right angle triangle.

Using Pythagoras

$x^{2} + (x+5)^{2} = (x+8)^{2}\\x^{2} + x^{2} + 10x +25 = x^{2} + 16x + 64\\x^{2} + x^{2} - x^{2} + 10x - 16x + 25 - 64 = 0\\x^{2} - 6x -39 = 0$

Using quadratic formula

$x = \frac{-b \± \sqrt{b^{2}-4ac}}{2a}\\x = \frac{-(-6) \± \sqrt{(-6)^{2}-4(1)(-39)}}{2(1)}\\x = \frac{6}{2} \± \frac{\sqrt{192}}{2}\\x = 3 \± \frac{8\sqrt{3}}{2}\\x = 3 \± 4\sqrt{3}$

$x = 3 + 4\sqrt{3} = 9.928(4s.f.)$

$x = 3 - 4\sqrt{3} = -3.928(4s.f.)$ (Length can't be negative)

∴ $x = 3 + 4\sqrt{3}$

3 0

2 years ago

Read 2 more answers

A local hamburger shop sold a combined total of 754 hamburgers and cheeseburgers on Saturday. There was 54 more cheeseburgers so

DochEvi [55]

Answer: 323 hamburgers

754/2=377
377 ham 377 cheese
54 more cheese than ham
377 ham - 54 = 323 hamburgers total sold on Saturday

7 0

2 years ago

Please can anyone solve 9n-10=4n+10

olasank [31]

Yes

remember you can do anything to an equaiton as long as you do it to boh sides
ad try to get unknown to one side
9n-10=4n+10
minus 4n both sides
9n-4n-10=4n-4n+10
5n-10=0+10
add 10
5n+10-10=0+10+10
5n+0=20
5n=20
divide both sies by 5
5n/5=20/5
5/5n=4
1n=4
n=4

6 0

3 years ago

Read 2 more answers

Approximately 3 out of every 25 Americans live in California. About 3 out of every 50 Americans live in New York, and about 2 ou

svet-max [94.6K]

Convert all statistics into percentages:

CA: 3/25=0.12 -> 12%

NY: 3/50=0.06 -> 6%

TX: 2/25=0.08->8%

(A) Out of the three states, California has the largest population

(B) Out of the three states, NY has the smallest population

8 0