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
Penny makes 5 liters of applesauce. She saves 0.24 liter for dinner and puts the rest in jars. If each jar holds 0.68 liter, how
In-s [12.5K]

Answer:

Penny can fill eight jars.

4 0
3 years ago
Read 2 more answers
What is the equation of the graphed line written in standard form?
Leno4ka [110]

Answer:

x= -3

Step-by-step explanation:

x equals to -3 is the standard form

5 0
3 years ago
Read 2 more answers
(y-2)^2=-16(x-3) what is it
Dmitrij [34]

(y-2)² = -16(x-3)

y²-4y+4 = -16x+48

y²-4y = -16x + 44

Hope it helped!

5 0
3 years ago
Antonio eats 1 slice of pizza in 3 minutes. How long will it take Antonio to eat 4 slices?​
GarryVolchara [31]

Answer:

12 minutes

4*3

That's the answer

8 0
3 years ago
Solve for X using either sine, cosine, or tangent
vovikov84 [41]

Answer:

•12.12

•56.92

Step-by-step explanation:

•Sin 30° = x ÷ 14√3

x=14√3 *Sin30

x=7√3

x=12.12

•Tan30°=6√3÷x

x=6√30 ÷Tan 30

x=18√10

x=56.92

7 0
3 years ago
Other questions:
  • Find the rate of change for the situation. You run 3 miles in one hour and 6 miles in two hours
    12·1 answer
  • carlo makes 9 1/3 cups of snack mix. she put all the snack mix into plastic bags. she puts 2/3 cup of snack mix in each bag. How
    13·1 answer
  • If the standard deviation of shear strength measurements for spot welds is 10.5 pounds per square inch (psi), what is the minimu
    6·1 answer
  • R . . V w l U i. a v w. v . Una It 3 A 1-
    6·1 answer
  • While her husband spent 2½ hours picking out new speakers, a statistician decided to determine whether the percent of men who en
    7·1 answer
  • Find the following Euler Totients using Euler’s Theorem, as explained on p.409 of the text (10 points each): a.ϕ(13) b.ϕ(81) c.ϕ
    5·1 answer
  • Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and
    10·2 answers
  • How could you use rounding to estimate 268+354?
    15·1 answer
  • pls help if you answer correctly i will give you brainliest and i will give a reward of a lot of points you just have to check b
    7·1 answer
  • Laura has already baked 9 pies, and she can
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!