Answer:
No, 6 is not a solution to the equation x2-4=5x
Step-by-step explanation:
6(2)-4=5(6)
12-4=30
8=30
The question is basically asking if you replace x with 6, will the equation equal each other on both sides, for example 6=6 or 3.5=3 1/2. In this case the equation gives us 8=30 which means 6 would not be a solution since both sides aren't equal to one another, 30 is bigger than 8.
Answer:
Parallel lines are lines that never meet and are always the same distance apart. Lines X, Y, and Z are all parallel to each other.
Step-by-step explanation:
Answer:
1/160
Step-by-step explanation:
Assuming that you want to roll a 5 and then select the ace of hearts that would make this a sequence of events. In order to find the probability of this happening, you would need to multiply the probability of each of these events happening separately with one another.
Since there are a total of 6 possible outcomes when rolling a die (1,2,3,4,5,6) which rolling a 5 is only one of the options. Meaning that the probability of rolling a 5 is 1/5.
In a deck of cards, there are a total of 32 cards in the deck and only 1 of those cards is an ace of hearts. Meaning that the probability of getting the ace of hearts is 1/32. Now we simply multiply these two probabilities together to get the probability of the sequence.
1/5 * 1/32 = 1/160
Let the radius of the circle be x, then by the tangent-secant theorem
4^2 = 2(x + 2)
16 = 2x + 4
2x = 16 - 4 = 12
x = 12/2 = 6
Therefore, the radius of the circle is 6 inches.
