4x + 5y = -13
2(4x + 5y) = 2(-13)
8x + 10y = -26 (equation 1)
5x - 2y = -8
5(5x - 2y) = 5(-8)
25x - 10y = -40 (equation 2)
equation 1 + equation 2,
(8x + 10y) + (25x - 10y) = (-26) + (-40)
8x + 10y + 25x - 10y = -26 + -40
33x = -66
x = -2
substitute x = -2 into equation 1,
8x + 10y = -26
8(-2) + 10y = -26
-16 + 10y = -26
10y = -10
y = -1
The values of x and y are -2 and -1 respectively.
Given:
Point P is the incenter of triangle HKM.
To find:
The measure of JP.
Solution:
In triangle MNP, using Pythagoras theorem, we get
Taking square root on both sides, we get
Side cannot be negative. So,
Point P is the incenter of triangle HKM.
[Incenter is equidistant from each side of triangle]
Therefore, the value of JP is 7 units.
Low tide will be 2:56 pm
High tide 9:00pm
You would divide 8 by 9 to get .8 (the 8 repeats)
Rounded to the thousandths, because the 8 repeats.