The union of a collection of sets is the set of all elements in the collection.
We have B = {a, l, g, e, b, r} and C = {m, y, t, h}
<h3>B ∪ C = {a, l, g, e, b, r, m, y, t, h}</h3>
This can solved using the cosine law which is:
c² = a² + b² - 2ab cos θ
Using the values given from the problem
6² = b² + b² - 2bb cos 112.62
And solving for b
36 = 2b² - 2b² cos 112.62
b = 3.6
The answer is the 3rd option.
First you would need to convert the equation to match the y = mx + b format.
Subtract 2x from both sides to get -y = -2x + 3
Then, divide -1 (because that's the coefficient to -y, on all values, turning to equation into
y = 2x - 3 (negative and negative makes a positive that's why the 2 value is now positive) in order to make the y value positive.
Our y intercept is -3 so start your graphing line on the -3 value on the x axis.
Our slope is 2/1 which means to go up 2 point and right 1 point, since it's a positive slope.
You can mark every point in order to get a more accurate line and just connect the dots from there. Be sure to use a ruler or some sort of straightedge for a better line.
Hope this helped :)
We know, Area = Length * Width
So, with area 42, dimensions could be: 1 * 42
2 * 21
3 * 14
6 * 7
Just draw the lines with that measures, two pair of two equal opposite lines.
Hope this helps!
