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Vlad1618 [11]
2 years ago
9

Is -2 + √3 rational or irrational?explain why.

Mathematics
1 answer:
andrey2020 [161]2 years ago
3 0

Answer:

It is irrational

Step-by-step explanation:

Let us assume that 2+√3 is a rational number.

A rational number can be written in the form of p/q.

2+√3=p/q

√3=p/q-2

√3=(p-2q)/q  

p,q are integers then (p-2q)/q is a rational number.

But this contradicts the fact that √3 is an irrational number.

So, our assumption is false.

Therefore,2+√3 is an irrational number.

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Tobeg says the equation 3x + 2y= 270 and y=4/5x + 20 intersect at the point (50,60) is this true how do you know
il63 [147K]

ANSWER

Yes it is very true


<u>EXPLANATION</u>

If the two equations intersect at (50,60) then this point must satisfy the two equations.


3x+2y=270---(1)

We substitute  (50,60)  in to erquation (1)


3(50)+2(60)=270


150+120=270

270=270




y=\frac{4}{5}x+20 ---(2)


We now substitute  (50,60)  in to erquation (2) also


60=\frac{4}{5}(50)+20


60=40+20


60=60


Since the point satisfy all the two equations, it is true that they intersect at (60,50)




3 0
3 years ago
If the basketball player scored 15 baskets out of 21 tries. How many tries would it take to score 20 baskets?
Evgen [1.6K]
28 tries. The ratio is 5:7, so once you multiply 5 by 4 to get 20, you do the same to 7 to get 28.
6 0
3 years ago
The table represents a linear function. Find the values of A and B.​
bazaltina [42]

Answer:

The answers are that a = -5 and b = 1

Step-by-step explanation:

In order to find A and B, we first need to find the equation of the line. We can do this by using two ordered pairs and the slope formula. For the purpose of this activity, I'l use (0, 5) and (-3, 11)

m(slope) = (y2 - y1)/(x2 - x1)

m = (11 - 5)/(-3 - 0)

m = 6/-3

m = -2

Now that we have this we can model this using point-slope form.

y - y1 = m(x - x1)

y - 5 = -2(x - 0)

y - 5 = -2x

y = -2x + 5

Now that we have the modeled equation we can use the ordered pair (a, 15) to solve for a.

y = -2x + 5

15 = -2(a) + 5

10 = -2a

-5 = a

And we can also solve for b using the ordered pair (2, b)

y = -2x + 5

b = -2(2) + 5

b = -4 + 5

b = 1

4 0
3 years ago
Assume you have a sample of n1=8, with a sample mean X1= 42 and a sample standard deviation, S1 = 4 and an independent sample of
patriot [66]

Answer:

Step-by-step explanation:

Download docx
5 0
3 years ago
A teacher is organizing her school supllies. she noticed that for every 2 pencils she has 7 pens. If she has 35 pens how many pe
Liula [17]

Answer:

10

Step-by-step explanation:

because 7÷35 =5 but that would be for only one pencil so if u multiply that 5×2 it would be 10 pencils

6 0
3 years ago
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