Answer:
Step-by-step explanation:
Given that:
x + 4y = 30
x - 2y = 0
Subtracting both equations:
6y = 30
y = 30/6
y = 5
Putting in above equation
x + 4(5) = 30
x + 20 = 30
x = 10
i hope it will help you
Step-by-step explanation:
vector AB(3-(-6); 5-7)
vector AB(9;-2)
AB= 
= 
M is the midpoint of AB
we have B(-5;10) and M(1;7)
let A(x;y)
(x-5)/2 = 1 ⇒ x-5 = 2⇒ x = 7
(10=y)/2 = 7⇒ 10+y = 14 ⇒y= 4
so : A(7;4)
the center of the circle is the midponit of the line joining both ends of the diameter
let A(x;y) be the other end
(-2+x)/2 = 2 ⇒ -2+x = 4⇒ x= 6
(5=y) = -1 ⇒ 5+y = -2 ⇒ y= -7
so the coordinates of the other end are (6; -7)
A,B and C are collinear such as AB=BC so b is the midpoint of AC
(-5+1)/2 = y ⇒ y = -4/2 ⇒ y = -2
((-3=x)/2 = 7 ⇒ -3+x = 14 ⇒ x = 17
so x= 17 and y = -2
Answer:
P(X = x, Y = y) = f(x, y)
Step-by-step explanation:
Let X be a discrete random variable, and suppose that the possible values that it can assume are given by x1, x2, x3, . . . , arranged in some order. Suppose also that these values are assumed with probabilities given by
P(X = xk) = f(xk) k = 1, 2, . . . (1)
It is convenient to introduce the probability function, also referred to as probability distribution, given by
P(X = x) = f(x)
If X and Y are two discrete random variables, we define the joint probability function
of X and Y by
P(X = x, Y = y) = f(x, y)
where f(x, y) ≥ 0
Answer: 2x and y= 4+
Step-by-step explanation:
x = 2 times 2 and so on....
y = 4 plus 4 plus 4 etc....
Vcyl = Vcone
pi×x^2×y = 1/3×pi×(3x)^2 (h)
pi's cancel--> x^2•y = 3x^2 (h)
h = y/3
