Answer:
(3x + 2)(x-4)
Step-by-step explanation:
3x² - 10x - 8 = 0
(splitting the middle term)
3x² -12x + 2x -8 = 0
3x(x-4) + 2(x-4) = 0
(3x + 2)(x-4) = 0
(3x + 2)(x-4) is the correct answer (option a)
The shape of the room is not a square.
Pythagorean Theorem: 17^2+17^2= 578, square root 578 and you'll get 24.04.
The length of the diagonal of the floor of the room in the plan should have been 24.04 in order to be a square.
Answer:
What is the probability formula?
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In general, the probability is the ratio of the number of favorable outcomes to the total outcomes in that sample space. It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).
Therefore, half of 1/4 is 1/8. 1/4 means 0.25 if you devide it by 2 you will get 0.125 so 1/8 is half of 1/4.
According to google, the red marks mean those two lines are the same length. If that's the case, we know that x is the angle in both corners of the lower triangle. We also know that because the angle of a straight line is 180, that the top angle of the bottom triangle is 140, because it's divided into two parts, one of which is 40. That leaves 140 for the rest. Now we know that there are 180 degrees in a triangle so x=(180-140)/2 = x=20degrees.
The right angle in the left corner is 90 degrees. It is divided in two parts, the lower one of which we just found to be 20. So the other part must by 70deg.
So for the upper angle y, we have 180-70-40= y=70degrees