just use FOIL (First, Outer, Inner, Last).
( √2 - √3 ) X ( √2 - √3 )
First: √2 X √2 = 2
Outer: √2 X -√3 = -√6
Inner: -√3 X √2 = -√6
Last: -√3 X -√3 = 3
and then add them together.
2 - √6 - √6 + 3
5 - 2(√6)
The answer is 5 - 2(√6) .
146 dan 105
Given:
Two numbers add to 251 and the second is 41 bigger than the first.
Question:
What are the two numbers?
The Process:
Let the first number we call x, and the second number is y.
Two numbers add to 251, We arrange it as Equation-1:
The second is 41 bigger than the first. We arrange it as Equation-2:
Let us solve the two equations above by eliminating the same variable. With the addition process, it appears that the variable y will be eliminated.
x + y = 251
x - y = 41
-------------- ( + )
2x = 292
Divide by two on both sides.
x = 146
The final step is to determine the variable y with the substitution of the value x into one of the two equations above. We choose Equation-1.
x = 146 → 146 + y = 251
y = 251 - 146
y = 105.
Thus, the two numbers are 146 and 105.
Answer:
24 times.
Step-by-step explanation:
Since, the volume of a cone,
While, the volume of a cylinder,
Where, r = radius,
h = height,
Thus, the volume of the cone having radius 5 cm and height 10 cm,
And, the volume of the cylinder having radius 10 cm, and 20 cm,
Hence, the number of times we need to use cone to completely fill the cylinder =
Answer:
x = - 6, x = 1
Step-by-step explanation:
To find the zeros, let f(x) = 0, that is
(x - 1)(x + 6) = 0
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 1 = 0 ⇒ x = 1
b) 1/5
c) 1/10
d) 1/4