A line that is parallel has the same slop where a line that is perpendicular has a slop that is negative and reciprocal.
so for the parallel one you don't need to worry about the slop because it will be 2/3x. But yous the point slope equation form
y-y1=m(x-x1)
y+5=2/3(x+2)
y+5=2/3x+ 4/3
y=2/3x-11/3
-2/3x+y=-11/3
multiple by -1 so A inst negative
2/3-y=11/3
For a line that is perpendicular you just need to flip the original 2/3x slope and make it negative.
y+5=-3/2(x+2)
y+5=-3/2x-3
y=-3/2x-8
3/2x+y=-8
Answer:
Question 2 = 15 drinks
Question 3 = 7/12
Step-by-step explanation:
Question 2:
For every drink, there are three sizes
Ratio = 1:3
There are 5 flavors
Multiply each side by 5
5:15
15 drinks
Question 3:
5 red, 6 yellow, 8 blue, 3 orange, 2 purple
Possible outcomes = 5 + 6 + 8 + 3 + 2 = 24 possible outcomes
Favourable outcomes = 6 + 8 = 14 favourable outcomes
Fraction = 14/24 = 7/12
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-Chetan K
There are 5 even numbers from 1 to 10.
The number of ways to draw all even numbers is 5!/(2!*3!) = 10
The number of ways to draw from the hat is 10!/(7!*3!) = 128
Therefore the probability is 10/128 = 5/64 or roughly 7.81%
By applying 2×pie×radius (radius+height)
This answer comes 1925000mm^3
answer
6:15:16
step-by-step explanation
the ratio of stars to hearts to circles is stars:hearts:circles
plug in 6 for stars, 15 for hearts, and 16 for circles
6:15:16
since these do not have a common factor, this is your final answer