KH = 3(x + 2) + <span>3x - 4
KH = 3x + 6 + 3x - 4
KH = 6x + 2 = 44
6x = 42
x = 7
HJ = 3(x + 2)
HJ = 3(7 + 2)
HJ = 27</span>
Answer:
none (0) ...
think of two lines (or chop sticks places on a table) ...
there are three (3) possible orientations that they can be in.
1) they cross each other at one point
2) they are on top of each other (they touch everywhere)
3) they are side by side (parallel)
in situation one we say we have a solution
in situation two we say there is an infinite solutions (the same line)
in situation three (your problem) we say there is no solution (parallel lines)
Step-by-step explanation:
#4) 1/6
#5) 1/2
#6) 4/15
#7) 8/15
#8) 11/15
#9) 12
#10) 15
#11) 112
Explanation
#4) There is one section marked 5 out of 6 sections.
#5) There are three odd-numbered sections out of 6 sections.
#6) 2 blue were tossed 4 times out of 15 tosses.
#7) 1 blue and 1 pink were tossed 8 ties out of 15 tosses.
#8) All blue was tossed 4 times out of 15; this means that all blue was not tossed 15-4=11 times out of 15.
#9) There are 4 choices for location and 3 choices for transportation; 4(3) = 12.
#10) There are 3 choices for level and 5 choices for character; 3(5) = 15.
#11) Since 30% are rock, 100%-30% = 70% are not rock. 70% = 70/100 = 0.7; 0.7*160 = 112.
Answer:
Step-by-step explanation:
I think you have the question incomplete, and that this is the complete question
sin^4a + cos^4a = 1 - 2sin^2a.cos^2a
To do this, we can start my mirroring the equation.
x² + y² = (x + y)² - 2xy,
This helps us break down the power from 4 to 2, so that we have
(sin²a)² + (cos²a)² = (sin²a + cos²a) ² - 2(sin²a) (cos²a)
Recall from identity that
Sin²Φ + cos²Φ = 1, so therefore
(sin²a)² + (cos²a)² = 1² - 2(sin²a) (cos²a)
On expanding the power and the brackets, we find that we have the equation proved.
sin^4a + cos^4a = 1 - 2sin^2a.cos^2a
