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
artcher [175]
3 years ago
9

Two boys searching for buried treasure are standing underneath the same tree. one boy walks 12 m east and then 12 m north. the o

ther boy walks 18 m west and then 11 m north. find the scalar product of their net displacements from the tree.
Mathematics
1 answer:
mylen [45]3 years ago
5 0
Let
 The origin of coordinates the tree
 r1 = vector position of the child 1.
 r2 = vector position of the child 2
 Child 1:
 r1 = (12i + 12j)
 Child 2:
 r2 = (-18i + 11j)
 The scalar product will be given by:
 r1.r2 = ((12) * (- 18)) + ((12) * (11)) = - 84
 The scalar product of their net displacements from the tree is -84m ^ 2
You might be interested in
What is the slope of the line represented by the equation y = = 4x+12<br> 2<br> N/P
Elena L [17]

Answer:

4/1

Step-by-step explanation:

hope that helps :))))

5 0
3 years ago
What happens when a rational number is added to an irrational number
Whitepunk [10]

The answer to your question is,

Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

-Mabel <3

6 0
3 years ago
Please help!!
enot [183]

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Given the functions expressed as:

h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2}  \\

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))

Get the composite function h(g(x))

h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x

Get the composite function g(h(x))

g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Learn more on inverse functions here; brainly.com/question/14391067

7 0
2 years ago
Read 2 more answers
Find the lowest common denominator for the following fractions.
Marat540 [252]
Your answer is 6 because 6 is the smallest number that is divisible by both 2 and 3
6 0
3 years ago
Read 2 more answers
Write about a real-world situation that can be solved using a two-step equation. Then write the equation and solve the problem.
otez555 [7]
Hmm idk if this is what you need, but here we go: Amy is 5 years older than her brother, John. Her age is 19. How old is John?
x-John
x+5=19
x=19-5=14
John is 14.
4 0
3 years ago
Other questions:
  • Joe takes part in math competitions. A particular contest consists of 25 multiple-choice questions, and each question has 5 poss
    5·2 answers
  • A movie theater conducted a survey of its customers. Twelve people were selected at random and asked how many times they had gon
    8·1 answer
  • Write each percent as a decimal<br> 7.41%
    10·1 answer
  • Point Q is translated left 7, up 6. Which is the coordinate pair for the translated point Q'?
    11·1 answer
  • What is the value of x in the diagram? A. 100 B. 60 C. 50 D. 120
    14·2 answers
  • Solve each equation <br> 4) -2x = 28
    7·2 answers
  • PLEASE HELP 20 points
    7·1 answer
  • 1) "teacher" wants to build a rectangular dog bowl stand. The top of it will have a perimeter 55 1/2 inches. The length is twice
    6·1 answer
  • Find the supplement of 3/4 of a right angle<br>​
    11·2 answers
  • Choose all answers that apply
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!