1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
shtirl [24]
3 years ago
7

Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}

Mathematics
1 answer:
krok68 [10]3 years ago
7 0

Answer:

|p-q|-(|p|-|q|) = 20

Step-by-step explanation:

First let's find the value of 'p-q':

p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\

To find |p-q| (module of 'p-q'), we can use the formula:

|ai + bj| = \sqrt{a^{2}+b^{2}}

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25

Now, we need to find the module of p and the module of q:|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15

|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10

Then, evaluating |p-q|-{|p|-|q|}, we have:

|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20

You might be interested in
What process is used to convert a percent to a fraction?
GalinKa [24]
The process used is division. If you go to math is fun.com they have a really good step by step example on how to do this. Please give this brainliest answer if I helped.
3 0
3 years ago
1.)What is the volume of a right circular cylinder with a radius of 5 cm and a height of 12 cm?
AnnyKZ [126]

See attached picture

8 0
3 years ago
Read 2 more answers
1/3(6x-12)=8(1/2x+1)-2
dlinn [17]
X = -5 is the answer I believe
8 0
3 years ago
Farmer Dave builds a crate to hold vegetables.the volume of the crate is 48 cubic feet . The base area of the crate is 16 square
scZoUnD [109]
If you want the height of the crate it's volume / base area = 48/16 = 3 feet.
6 0
3 years ago
Please help, need answer fast!
AleksandrR [38]
The answer is
B. 13ab

5ab+9ab-ab
=(5ab+9ab)-ab
14ab-ab
=13ab

Hope it helped : )
3 0
3 years ago
Other questions:
  • For the schools sports day a group of students prepared 21 1/2 lbs of lemonade at the end of the day they had 2 5/8 lbs left ove
    7·2 answers
  • 1. On a construction site, the workers excavated 30,000 cubic feet of dirt. How many cubic meters did they excavate? A. 84.9 B.
    14·2 answers
  • I need someone whose willing to help me with the other 100 questions i dont know (not joking) BUT PLS HELLPPPP
    5·1 answer
  • Given: f(x) = x - 7 and h(x) = 2x + 3<br><br><br> Write the rule for h(f(x)).
    10·1 answer
  • If the bathtub holds a total of 46.2 gallons, how many minutes would it take to fill the entire tub? Write an equation in one va
    14·1 answer
  • Does anyone know or understand this
    12·2 answers
  • What is the answer to mr. House wrote 8tenths minus 5 hundredths on the board.Maggie said the answer is 3 hundredths because 8 m
    15·1 answer
  • Evaluate the expression: H - 7 for H = 22
    15·2 answers
  • Pls help it is due very soon.
    8·1 answer
  • Help me please thank you.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!