Answer:
I think it was option 1
Step-by-step explanation:
Answer:
Is irrational
Step-by-step explanation:
Let
be a rational number, and
be an irrational number. If their sum were rational, say
, then we'd have

but
is the difference between two rational numbers, and thus a rational number. But it also equals
, which is irrational by hypothesis. Since we have a contradiction, we conclude that the sum of a rational and an irrational can't be rational.
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

Given Points are (8 , 30) and (18 , 60)
here x₁ = 8 and x₂ = 18 and y₁ = 30 and y₂ = 60

We know that the form of line passing through point (x₀ , y₀) and having slope m is : y - y₀ = m(x - x₀)
Here the line passes through the point (8 , 30)
⇒ x₀ = 8 and y₀ = 30
We found Slope(m) = 3
Substituting all the values in the standard form, We get :
Equation of the line : y - 30 = 3(x - 8)
Let d be the x-intercept of this line
⇒ The line passes through the point (d , 0) as at x-intercept, y-coordinate is zero.
⇒ 0 - 30 = 3(d - 8)
⇒ 3d - 24 = -30
⇒ 3d = -30 + 24
⇒ 3d = -6
⇒ d = -2
⇒ The x - coordinate of the x-intercept of the line is -2
When you multiply the equation 1 by 1, then it won't change and will be:
<span>6x − 2y = 3
Now, when you'll add 2nd equation to it, then, it is:
= 11x + y = 7
In short, Your Answer would be Option D) </span><span>Show that the solution to the system of equations 11x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
Hope this helps!</span>
Answer:
So for the first spinner, the probability of the arrow pointing to blue on a spin is 1/4, the probability of it pointing to green is 1/4 and so on. This assumes that each section is the same physical size.
Step-by-step explanation: