What is the ordered pair or real numbers for which x + y = 99 and x^2 - y^2 = 99.

Given : x + y = 99 [1]

Given : x² - y² = 99

We know that : (x² - y²) = (x + y)(x - y)

⇒ (x + y)(x - y) = 99

⇒ 99(x - y) = 99

⇒ x - y = 1 [2]

Adding Equation [1] and [2], we get :

⇒ (x + y) + (x - y) = 99 + 1

⇒ 2x = 100

⇒ x = 50

Substituting x = 50 in Equation [1], we get :

⇒ 50 + y = 99

⇒ y = 99 - 50

⇒ y = 49

So, The Ordered pair (x , y) = (50 , 49)

answer: 40.95

step-by-step explanation:

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5