Answer:
The answer is in the above image
X² + 11x + 24 = 0
24*1 = 24
We think of 2 numbers that multiply to give 24 and add up to give 11
The 2 numbers are 8 and 3.
8*3 = 24 and 8 + 3 = 11
So the 11x in x² + 11x + 24 = 0
Replace 11x with (3x + 8x)
x² + 11x + 24 = 0
x² + 3x + 8x + 24 = 0 Factorize.
x(x + 3) + 8(x + 3) = 0
(x + 3)(x + 8) = 0
That means:
x + 3 = 0 or x + 8 = 0
x = 0 - 3 x = 0 - 8
x = -3 or x = -8
Therefore: x² + 11x + 24 = 0 is (x + 3)(x + 8) = 0 and x = -3 or x = -8
Hope this helps.
Answer:
For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
Step-by-step explanation:
Answer:
Option A - 0.003
Step-by-step explanation:
Given: Probability of success = 63%= 0.63
Probability of failure = 1-0.63=0.37
To find: Probability that the first success occurs after the sixth trial
Formula for calculating geometric probabilities:
If P(X >n) or the probability that it takes more than a certain number of trials to achieve the first success.
where, X has a geometric distribution,p is the probability of success and (1-p) is the failure and possible values of X are 1, 2, 3, ....
Now, put values p=0.63, (1-p)= 0.37 , n=6 in the formula
Therefore, Option A is correct
Answer: −14−7
Step-by-step explanation:
(-8x + 2) - (6x +9)
-8x + 2 - 6x - 9
-14x - 7