Answer:
3 = ?
Step-by-step explanation:
The triangles are similar, so we can use ratios
15 12 -2
------ = --------------
15+? 12
15 10
------ = --------------
15+? 12
Using cross products
15 * 12 = 10 ( 15+?)
180 = 10 ( 15+?)
Divide each side by 10
18 = 15+?
Subtract 15 from each side
18-15 = 15+?-15
3 = ?
Answer:
ok
Step-by-step explanation:
1
Answer:
The answer is...12.
Step-by-step explanation:
So let's start by guesstimating the slopes:
the green line has a slope close to -x, but more negative than that, possibly -2; the pink line has a slope close to +x, but higher towards +2.
Next let's look at the solution: the two lines intersect at the point (1, -1).
**you could just simple plug that x (1) into all the equations, but let's rule out answers anyway. ;)
A) is incorrect because the slopes of -1 and +1 are off from out predicted -2 and +2
B) is incorrect because of a similar reason, the slopes of +3 and +1 don't make any sense
C) Ooh, we do have a +2 and -2 for the slopes, and... violà! plug in 1 for the x's and we get -1 for the y in both equations
D) slopes are closer than in A and B, but plugging in 1 doesn't get us -1
So the correct answer is:
C) y = 2x - 3 and y = −2x + 1
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
