Solve simultaneously.
4x - y = 8
6x + y = 2
Multiply top equation by 6, and bottom equation by 4, to eliminate x, so that we can find y.
~
24x - 6y = 48
24x - 4y = 8
Subtract top from bottom to form one equation.
~
-2y = 40
Therefore y is 20.
Put y back in to an equation, such as 4x - y = 8.
~
4x - 20 = 8
4x = 28
x = 7
Step-by-step explanation:
Answer:
<h3>2√3</h3>
Step-by-step explanation:
The standard equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the center of the circle
r is the radius of the circle
Given the equation (x - 7)^2 + (y + 13)^2 = 12
On comparing;
r² = 12
Take the square root of both sides
√r² = √12
r = √12
r = √4*3
r = 2√3
Hence the radius of the circle is 2√3
Answer:
Step-by-step explanation:
Given expression:
Convert this into equation and solve for k:
- 33 = k - 15
- k = 33 + 15
- k = 48
So the <u>value of k is 48</u>
Answer:
Step-by-step explanation:
Given
-- number of rolls
Required
The mean of 2's
The distribution follows binomial distribution where:
In this case:
---- the theoretical probability of rolling 2
So, the mean of 2's is calculated using:
Simplify
or
