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:
the stated ratio means that of the 180 degrees involving two supplementary angles, the smaller angle is one sixth of that whole. Thus the smaller angle measures 30 degrees & the larger measures 150 degrees.
Step-by-step explanation:
Answer:
(a) -5
Step-by-step explanation:
The vertical scale factor for the graph and the function can be found by comparing the y-value of a point on f(x) to the y-value of a point on g(x). The graph conveniently marks two corresponding points with these y-values:
f(-2) = 2
g(-2) = -10
The value of k in g(x)=k·f(x) is the ratio of these y-values:
k = g(-2)/f(-2) = -10/2 = -5
The value of the vertical scale factor k is -5.
Answer:
25
Step-by-step explanation:
4 gallons per 1/4 capacity = 16 gallons of water to fill the tank to capacity.
16 x 2 = 32 half gallon bottles can be filled
