Answer:
y-6=2(x-(-1))
Or simplified:
y-6=2(x+1)
Step-by-step explanation:
use the formula: y-y1=m(x-x1)
Answer:
AB = 5/4 y - 1 = 5/4 (12/13) -1 = 2/13
AC= 7/3 y - 2 = 7/3 (12/13) -2 = 2/13
Step-by-step explanation:
Because it is a equilateral triangle, it means all sides have the same length.
AB = AC
5/4 y - 1 = 7/3 y - 2
5/4 y - 7/3 y = -2 +1
-13/12 y = -1
y = 12/13
input y to the equation.
AB = 5/4 y - 1 = 5/4 (12/13) -1 = 2/13
AC= 7/3 y - 2 = 7/3 (12/13) -2 = 2/13
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Answer:
y = 1500 * 1.09^t
Step-by-step explanation:
It should be clear that the rate of change is non-linear, meaning that we can express the function in the following manner
y = a * b^t, where a is the initial value and b is the rate of change and t is how many years.
Well, year 0 is the rate of change so we can say that a = 1500
Next, we divide any two consecutive year balances to find our rate of change:
1635/1500 = 1.09
Therefore, our equation looks like this: y = 1500 * 1.09^t
x = -1 makes the lengths of segments PQ and PR equal zero.
That is not possible, so the solution x = -1 is discarded.
x = 8
PS = 3x + 3 + 21
PS = 3x + 24
PS = 3(8) + 24
PS = 24 + 24
PS = 48
Answer:
1/12
Step-by-step explanation:
Probability is a ratio derived as the number of possible outcomes divided by the total outcome.
On a number cube, the even sides are 2, 4 and 6. This means that the possible outcome for rolling an even is 3 while the total outcome is 6. Hence the probability of rolling an even P(E)
= 3/6
The probability of rolling a 4 P(4)
= 1/6 (4 appears on one side)
Hence the probability of rolling an even on the first roll and a four on the second roll
P(En4) = 3/6 * 1/6
= 3/36
= 1/12
