Answer:
Step-by-step explanation:
To find y=mx+b we need to identify two points. I picked (20,45) and (50,65)
From these two points we can find the slope, m.
m=(y2-y1)/(x2-x1)
m=(65-45)/(50-20)
m=20/30=2/3 so now our line is
y=2x/3+b, we can solve for b using either point, I’ll use (20,45)
45=2(20)/3+b
45=40/3+b
b=45-40/3
b=(135-40)/3
b=95/3 so the line is
y=(2x+95)/3
Answer:
(6,0)
Step-by-step explanation:
The coordinates of the points dividing the line segment in ratio m:n can be calculated as:
Here x1, y1 are the coordinates of first point S (-2, -6) and x2, y2 are the coordinates of second point T(18, 9).
In this case m will be 2 and n will be 3 as the ratio is 2:3
Using all these values we can find the coordinates of point Q
Thus, the coordinates of point Q which divides the line segment ST in ratio of 2:3 are (6,0)
Having drawn one king, there are 3 kings remaining and a total of 51 cards. Therefore the probability of drawing another king is 3/51 = 1/17.
Answer:
(1, 4.5 )
Step-by-step explanation:
The required point is at the midpoint of AB
Use the midpoint formula
Given A(4, 3) and B(- 2, 6 ), then
midpoint = [ 0.5(4 - 2), 0.5(3 + 6) ] = (1, 4.5 )
Answer:
-2n - 12
Step-by-step explanation:
Combine like terms. Note that each term has one variable (n). Also note that one negative sign and one positive sign results in a negative sign.
-6n + (-12) + 4n = -6n + 4n - 12 = -2n - 12
-2n - 12 is your answer
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