Answer:
see below for a graph
Step-by-step explanation:
Completing the square for x and y terms can help you put this in the standard form.
(x^2 +10x) +(y^2 +6y) = -18
(x^2 +10x +25) +(y^2 +6x +9) = -18 +25 +9 . . . . add square of half linear coefficient
(x +5)^2 +(y +3)^2 = 16 . . . . . . . circle centered at (-5, -3) with radius 4
1:104 because there are 52 cards in a deck and he already drew a king, so double the chances and get 1:104?
Answer:
Step-by-step explanation:
The ladder forms a right angle triangle with the house and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.
The distance from the bottom of the ladder to the base of the house represents the adjacent side of the right angle triangle.
To determine the height, h that the ladder reaches, we would apply
the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 62 = h/12
h = 12Sin62
h = 12 × 0.8829
h = 10.6 feet
Answer:
Each friend gets 
of the popcorns.
Step-by-step explanation:
Nathalie's brother takes 1/5 of the popcorn for himself.
so there is ( 1 - 1/5)
= 4/5 of the popcorns left in the bowl
including Nathalie and her 3 friends, there are (3 + 1) = 4 persons.
So, each friend gets
=
of the popcorns
Unless K is defined, this problem doesn’t make sense...even if we divide over k then k would eventually equal nothing (not zero)
