2x + y = x/2 + 1 multiply this by -4:-
-8x - 4y = -2x - 4
4y = 2x Adding:-
-8x = -4
x = 1/2
Substitute in 4y = 2x:-
4y = 2*1/2
y = 1/4
Answer ( 1/2, 1/4)
Answer:
-8
Step-by-step explanation:
1/2 times 10 is 5. and a negative times a negative is a positive, so you have a positive 12, which becomes 5+12-25, which is -8
Answer: 1 lb 5 oz
Step-by-step explanation:
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.
So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.
At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39
The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
It is not an equilateral triangle. To prove this, you must solve for x. I found x by setting 2x+5.2 = 3x+1.2 to get x=4. Then I plugged 4 into equation to see if they were equal. 2(4)+5.2= 13.2 and 3(4)+1.3=13.2 but 2(4)+6.2=14.2. This allows us to conclude that the triangle is not equilateral because all of the sides are NOT congruent. Hope that helped:))
