The result is: {5,6,9}
Step-by-step explanation:
Given
U = {0,1,2,......,10}
A = {5,6,9}
B = {0, 6, 7, 10}
We have to find
(A∩B)U(A∩B')
First of all,
<u>B':</u>
B' = U -B = {0,1,2,......,10} - {0, 6, 7, 10}
= {1,2,3,4,5,8,9}
<u>A∩B':</u>
A∩B' = {5,6,9} ∩ {1,2,3,4,5,8,9}
= {5,9}
<u>A∩B:</u>
A∩B = {5,6,9} ∩ {0, 6, 7, 10}
={6}
At the end we have to find union
(A∩B)U(A∩B') = {6} U {5,9}
(A∩B)U(A∩B') = {5,6,9}
Hence,
The result is: {5,6,9}
Keywords: Sets , Union
Learn more about sets at:
#LearnwithBrainly
B. (6, -8)
First, you need to figure out the slope of the line
(y1 - y2) / (x1 - x2)
After substituting points D(-3, 4) A(3, -4)
[4 - (-4)] / (-3 - 3)
(8) / (-6)
The slope of the line is -8/6 or -4/3 simplified
Then you can put it in point slope form:
(y - y1) = m(x - x1)
(y - y1) = -4/3(x - x1)
The point that I am using for point slope form is A(3, -4)
[y - (-4)] = -4/3(x - 3)
y + 4 = -4/3(x - 3)
Next you have to simplify the equation so that y is isolated
y + 4 = -4/3(x - 3)
First distribute the -4/3
y + 4 = -4/3(x) + (-4/3)(-3)
y + 4 = -4/3x + 4
Subtract 4 on both sides
y + 4 - 4 = -4/3x + 4 - 4
y = -4/3x
Now that you have y = -4/3x, you can substitute the values until one of them makes the equation equal
For example) (6, -8)
-8 = -4/3(6)
-8 = -8
So since (6, -8) fits in the slope intercept equation, it must me collinear with points A and D
~~hope this helps~~
Answer:
i-
Step-by-stes 32 p explanation:
Answer:
20 feet
Step-by-step explanation:
I believe that since it is an equilateral triangle, all sides are equal, making 20=20