We know that
Triangle Inequality Theorem establishes that the sum of the lengths of any two sides of a triangle<span> is greater than the length of the third side
</span>so
case <span>A. 5M, 11M, 7M
5+11 > 7----> ok
11+7 > 5 ---> ok
5+7 > 11----> ok
case </span><span>B.10 m, 4 m, 5 m
5+4 > 10-----> is not ok
case </span><span>C.8 m, 4 m, 4 m
4+4 > 8----> is not ok
case </span><span>D.6 m,11 m, 5 m
6+5 > 11-----> is not ok
the answer is
</span><span>A. 5M, 11M, 7M</span>
Answer:
b. x² + 8x + 12 =
1. use the factoring X (see attachment)
2. 6 x 2 = 12; 6 + 2 = 12
3. (x + 6)(x + 2) = 0
4. x = -6, -2
c. x² + 13x + 12 =
1. 12 x 1 = 12; 12 + 1 = 13
2. (x + 12)(x + 1) = 0
3. x = -12, -1
c. x² + x - 12 =
1. 4 · (-3) = -12; 4 - 3 = 1
2. (x +4)(x - 3) = 0
3. x = -4, 3
f. x² + 15x + 36 =
1. 12 x 3 = 36; 12 + 3 = 15
2. (x + 12)(x + 3) = 0
3. x = -12, -3
hope this helps :)
Answer:
Step-by-step explanation:
<h2>4/x=2/10</h2>
cross multiplication:
4*10=2*x
40=2x
x=40/2=20
<h2>w/2 = 4.5/6.8</h2>
6.8w=2(4.5)
6.8w=9
w=9/6.8=1.32352941
<span> 4 apples and 6 bananas
so ration bananas to apples = 6:4 or 3:2 or 6 4
answer is
</span><span>all of the above</span>
there are 4 kings and 4 queens in a deck
chance of getting a king is 1/52
chance of getting a queen without the king being put back would be 1/51
1/52 x 1/51 = 1/2652 probability