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
Eduardwww [97]
3 years ago
13

Let → a = ⟨ 1 , − 3 ⟩ and → b = ⟨ − 3 , k ⟩. Find k so that →a and → b will be orthogonal (form a 90 degree angle).

Mathematics
1 answer:
Mice21 [21]3 years ago
7 0
If a b is orthogonal , a•b will be 0
a•b=1x-3+-3k=0
so k=-1
You might be interested in
A.) SSS<br><br> B.) AAS<br><br> C.) ASA<br><br> D.) SAS
Vlada [557]

Side BC is congruent to side BC.

Using the congruent angles and the angle bisectors, you can get two angles congruent to two other angles, so you use ASA to prove the triangles congruent. Then you use CPCTC to prove the sides congruent.

Answer: C.) ASA

7 0
3 years ago
Write three (3) scenarios that describe three different real-world functions. Each scenario should use two of the variables from
NISA [10]
Here is one <span>Jake’s salary depends on the number of hours he works.
The independent variable is the number of hours and the dependent variable is salary.
Let x = the number of hours worked
Let y = Jake's salary
The set of ordered pairs {(1, 10), (2, 20), (3, 30), (4, 40), (5, 50)} can be used to represent
the function, assuming Jake earns $10 per hour. </span>
8 0
3 years ago
Find the leg of each isosceles right triangle when the hypotenuse is 5 square root 6
kozerog [31]
Hypotenuse = 5√6

Let the length of each leg be x, since it is Isosceles .

x² + x² = (5√6)²

2x² = (5 * 5 * √6 * √6)

2x² = 150

x² = 150/2

x² = 75

x = √75

x = √(25 * 3)

x = √25 * √3

x = 5√3 
5 0
3 years ago
The difference of 8 less a number n, multiplied by twelve, is equal to 3 more than the number. Which of the following equations
makkiz [27]

Answer:

The equation that can be used to find the missing number is 96 - 12n = 3 + n

Step-by-step explanation:

The difference of 8 less a number n

This is 8 - n

Multiplied by twelve

This is:

12(8 - n) = 96 - 12n

Is equal to 3 more than the number.

96 - 12n = 3 + n

The equation that can be used to find the missing number is 96 - 12n = 3 + n

3 0
3 years ago
Read 2 more answers
Your grandparents invested $2,000 for you on the day you were born. How much will this investment be worth on your 25th birthday
algol [13]

We know that, Amount in Compound interest is given by :

\bigstar \ \ \boxed{\sf{Amount = Principal\bigg(1 + \dfrac{Rate \ of \ Interest}{100}\bigg)^{Time \ Period}}}

Given : Principal = $2000

Given : Annual yield is 5% and the interest is compounded quarterly

It means : Interest is compounded 4 times in a year

\implies \sf{Rate \ of \ Interest = \dfrac{R}{4} = \dfrac{5}{4}}

\sf{\implies Time \ period = (25 \times 4) = 100}

Substituting all the values in the formula, we get :

\implies \sf{Amount = 2000\bigg(1 + \dfrac{\dfrac{5}{4}}{100}\bigg)^{100}}

\implies \sf{Amount = 2000\bigg(1 + \dfrac{5}{400}\bigg)^{100}}

\implies \sf{Amount = 2000\bigg(1 + \dfrac{1}{80}\bigg)^{100}}

\implies \sf{Amount = 2000\bigg(\dfrac{81}{80}\bigg)^{100}}

\implies \sf{Amount = 2000 \times (1.0125)^{100}}

\implies \sf{Amount = 2000 \times 3.463}}

\implies \sf{Amount = 6926.8}

8 0
3 years ago
Other questions:
  • Abigail bought 15 chicken wings for $3. What was the cost of the wings in wings per dollar? Express your answer in simplest form
    11·2 answers
  • When 6x² - 4x+3 is subtracted<br> from 3x²–2x+3, the result<br> is
    9·1 answer
  • R.<br> BSolve for x.<br> X+19 x+29
    11·1 answer
  • How to find three consecutive odd numbers whose product is 2145?
    13·1 answer
  • Suppose you have $11,000 to invest. Which of the two rates would yield the target amount in 1 year: 11% compounded daily or 10.9
    9·2 answers
  • What is the next term in the pattern? 1,-1,2,-2,3...
    5·2 answers
  • Sheila has to type a 36 page report .When she took her coffee break , she had already typed 20 pages of the report. What fractio
    6·1 answer
  • What is this I don’t understand can you help me <br> 47% of 70
    10·2 answers
  • Instructions: Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
    15·2 answers
  • Write an
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!