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
crimeas [40]
3 years ago
7

Calculate the gradient of (a; b) and (-2a; -2b) where a≠0 and b≠0.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
4 0

Answer:

\frac{b}{a}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (a, b) and (x₂, y₂ ) = (- 2a, - 2b)

m = \frac{-2b-b}{-2a-a} = \frac{-3b}{-3a} = \frac{b}{a}

You might be interested in
Kathy travels in a taxi which charges $ 5.75 flat rate in addition to $ 2.50 per mile. Kathy has only $25 in her wallet. How man
matrenka [14]

Answer: 7.7 miles

Step-by-step explanation:

2.5x + 5.75 = 25 (<em>x = each mile traveled)</em>

2.5x = 25 - 5.75

2.5x = 19.25

x = 7.7 miles

6 0
2 years ago
You need to arrange 10 of your favorite books on a small shelf. How many different ways can you arrange the books, assyming that
tensa zangetsu [6.8K]

Answer:

You can arrange the books 3,628,800 different ways.

Step-by-step explanation:

You can imagine that the shelf has 10 "slots" where you can place a book. Each slot can take 1 of the 10 books. However, after you have placed 1 book, there are only 9 possible books to place. After 2 have been placed, there are only 8 possible.

Going left-to-right, the first slot has 10 available books.

Total combinations: 10

The 2nd slot has 9 available books.

Total combinations: 10 * 9

The 3rd slot has 8 available books.

Total combinations: 10 * 9 * 8

This continues for all 10 slots.

Eventually, for slot 10, there is only 1 book possible.

Total combinations: 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

Multiply all numbers between 10 and 1 with each other is also known as "10 factorial" or "10!"

Thus, the total number of combinations is:

10! = 10*9*8*7*6*5*4*3*2*1 = 3628800

Answer: You can arrange the books 3,628,800 different ways.

8 0
3 years ago
Determine if the triangles are congruent. If yes select the correct theorem. If
Neporo4naja [7]

Answer:

NOT CONGRUENT

Step-by-step explanation:

tryangle 1 is SAS, but 2 does not follow any rules so not congurent.

3 0
2 years ago
Plz help,,,,,,,,,,,,,,,,,,,,
Kay [80]
I believe that the answer would be c . 
7 0
2 years ago
Find the x-intercept of the line 2y-3x=12
leonid [27]

Answer:

-4

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What is -7+p=3 please give me a step by step explanation.
    9·2 answers
  • Find the value of x, rounded to the nearest tenth. <br> Answer options: 3.8, 4, 2.7, 2.9
    11·2 answers
  • Which point is located at the origin?<br><br> A<br> B<br> C<br> D
    11·2 answers
  • Terri is rewriting 7^13 in expanded form. How many factors should she use in her expression?
    7·2 answers
  • The sum of the measures of the interior angles of a convex polygon is 1080° Classify the polygon by the number of sides​
    13·2 answers
  • Mason stands on the 5th step of a vertical ladder. The ladder has 15 steps, and the height difference between consecutive steps
    5·2 answers
  • I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would
    6·1 answer
  • Reduce the fraction to lowest terms 16/24
    15·2 answers
  • How to calculate intrest
    7·2 answers
  • For the function: f(x) = 18 − x − x2<br> Find f(9)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!