Answer:
see explanation
Step-by-step explanation:
(a)
(x + 2)(x + 12) ← expand using FOIL gives
x² + 14x + 24 ≠ x² + 10x + 24
(b)
consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (+ 10)
the factors are + 6 and + 4 , since
6 × 4 = 24 and 6 + 4 = 10 , then
x² + 10x + 24 = (x + 6)(x + 4)
Answer:
11/36
Step-by-step explanation:
Here are the steps:
Step 1: Find a common denominator for both of the fractions
4/9 --> 27/36 (Multiply top and bottom by 4)
3/4 --> 16/36 (Multiply top and bottom by 9)
This is the smallest common denominator
Step 2: Subtract:
27/36 - 16/36 = 11/36
Soo...
x = 11/36
Hope this helps!
-jp524
Answer:
4.013 units
Step-by-step explanation:
We know that the volume of a cone is given by the following equation:
v = pi / 3 * r ^ 2 * h
we need to know the height, therefore we solve for h:
h = 3 * v / (pi * r ^ 2)
replacing v = 105 and r = 5
h = 3 * 105 / (3.14 * 5 ^ 2)
h = 4.013
Which means that the height measures 4.013 units
Probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third not is 1/10
Total friends = 10
Friends from kindergarten = 4
Probability is the chance that a given event will occur. Probability of an event lies within 0 to 1
P(E) = Favourable outcomes / Total outcomes
Probability of getting 1st friend from kindergarten = 4/10
Probability of getting 2nd friend from kindergarten = 3/9
Probability of getting 3rd friend not from kindergarten = 6/8
Since all these probabilities are independent, We can use Multiplicative identity. Thus,
Required probability is 4/10 * 3/9 * 6/8
= 1/10
Thus, Probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third not is 1/10
To learn more, visit:
brainly.com/question/7514534
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