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ELEN [110]
3 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]3 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.

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Pachacha [2.7K]

Answer:

y= \frac{3}{2}x -1

Step-by-step explanation:

To find slope I first found the two points on the graph which were (0, -1) and (2, 2). Then I used rise over run to find the slope the point went up 3 units and to the right two units.

then to find the y intercept I found a pint of the graph where the line had passed through the y-intercept line on the graph which just so happened to be -1.

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Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

6 0
2 years ago
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Plz help with this problem!<br><br> x^4 + x^2 + 1
TEA [102]

Answer:

You cannot simplify this problem down anymore; it is at its simplest form.

Step-by-step explanation:

You cannot add together x^4 and x^2 due to the simple fact that they do not share similar exponents.

For example you could add together x^4 and x^4 to get 2x^4. But you cannot add x^4 and x^2.

7 0
3 years ago
What is the y-intercept of the equation below? *<br> y = 2x - 1
Dimas [21]

Answer:

the y intercept is -1

Step-by-step explanation:

Because is the 2 is connected to x it means 1 is where y intercept started and x can not connect to y

4 0
3 years ago
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I need to transpose the following equation to find the term (g)<br><br> V^2=2gh
nataly862011 [7]
v^2=2gh\\\\2gh=v^2\ \ \ \ |divide\ both\ sides\ by\ 2h\\\\\boxed{g=\frac{v^2}{2h}}
7 0
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PLEASE HELP ASAP!!!!
lina2011 [118]
<h3>Answer:</h3>

System

  • p + m = 10
  • 0.8m = 0.4·10

Solution

  • p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>Step-by-step explanation:</h3>

(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.

For the total amount of mix:

... p + m = 10

For the quantity of peanuts in the mix:

... p + 0.2m = 0.6·10

For the quantity of almonds in the mix:

... 0.8m = 0.4·10

For the ratio of peanuts to almonds:

... (p +0.2m)/(0.8m) = 0.60/0.40

Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.

So, your system of equations could be ...

  • p + m = 10
  • 0.8m = 0.4·10

___

(b) Dividing the second equation by 0.8 gives

... m = 5

Using the first equation to find p, we have ...

... p + 5 = 10

... p = 5

5 lb of peanuts and 5 lb of mixture are required.

8 0
3 years ago
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