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
ELEN [110]
2 years ago
5

Verify & mention the below given property a*(+)=*+*of rational numbers by taking a= 1:3, b= 1:5 c= -2:3

Mathematics
1 answer:
ra1l [238]2 years ago
5 0

To Prove :

a×(b+c) = a×b + a×c

Solution :

Solving L.H.S. we get :

a(b+c ) = \dfrac{1}{3}( \dfrac{1}{5}-\dfrac{2}{3})\\\\= -\dfrac{7}{45}

Solving R.H.S. we get :

a\times b + a\times c = \dfrac{1}{3}\times \dfrac{1}{5} + \dfrac{1}{3}\times (-\dfrac{2}{3})\\\\= -\dfrac{7}{45}

Since, L.H.S = R.H.S

Therefore, the given equation is correct.

You might be interested in
Which of the following is a solution for 5 - 2xs-3?<br> -4<br> 4<br> 1<br> -1
liq [111]
I want to say -1. if you first combine like terms the equation would look like 2-2x. then next step i did was divide both sides by negative 2 to get the x by itself. after i did that i got -1 x.
5 0
2 years ago
What is the distance from Mto N?
aivan3 [116]

9514 1404 393

Answer:

  C.  10 units

Step-by-step explanation:

The distance MN can be found using the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((2 -(-4))² +(3 -(-5))²) = √(6² +8²) = √100 = 10

The distance from M to N is 10 units.

5 0
2 years ago
Examine the diagram of circle O. Points C, T, and P are on circle O. If m∠COT=146∘ and CT⌢=35.7 units, what is the measure of OT
Elis [28]

Answer:

14 units is the answer :)

Step-by-step explanation:

7 0
3 years ago
If x and y in the equations
Brums [2.3K]
We can let
   a = 1/(x-1)
   b = 1/(y+2)
and rewrite the equations as
   2a - b = 10
   a + 3b = -9
Using the first to write an expression for b, we get
   b = 2a - 10
Substituting this into the second equation gives
   a + 3(2a -10) = -9
   7a -30 = -9 . . . . . . . . simplify
   7a = 21 . . . . . . . . . . .add 30
   a = 3
   b = 2·3 - 10 = -4

Now, we can find x and y.
    3 = 1/(x -1)
    x - 1 = 1/3
    x = 1 1/3 = 4/3

    -4 = 1/(y +2)
    y +2 = -1/4
    y = -2 1/4 = -9/4

Then the desired sum is
    x + y = 4/3 -9/4 = (16 -27)/12
    x + y = -11/12

The appropriate choice is ..
   c. -11/12
5 0
3 years ago
Find the angle measures in the regular polygon.
DIA [1.3K]

the angle measures in the regular polygon is B)140

3 0
2 years ago
Other questions:
  • A rubber belt connects the two flywheels shown. Find the total
    11·2 answers
  • Last month we had sixteen days of either green beans or carrots in the cafeteria for lunch. There were six more days of green be
    12·1 answer
  • Determine if the following side lengths are side lengths of a right triangle.<br><br> A. 45, 30, 45
    11·1 answer
  • A marine biologist is doing research on a shellfish that lives 80 feet below sea level. The marine biologist dies into the sea a
    11·1 answer
  • I need help on what to do for part b
    7·1 answer
  • A person wearing contact lenses is told to wear them for 3 hours on the 1st day and for 1/2 hour longer on each succeeding day.
    9·2 answers
  • Please answer quickly
    13·1 answer
  • Gloria is making bouquets with silk
    10·2 answers
  • Please help this is confusing
    7·1 answer
  • George bought 2.45 pounds of tofu and 1.62 pounds of fish. How many more pounds of tofu did he buy than fish.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!