The equation of the line from give points is y = 2/3x - 5/3.
According to the statement
We have given that the two points which are (-2,-3) and (4,1)
And we have to find the equation of a line that passes through the given points.
So,For this purpose,
First, we need to determine the slope of the line. The slope can be found by using the formula:
Where
m is the slope and
Substituting the values from the points in the problem gives:
m = 1 + 3 /4 + 2
m = 4/6
m = 2/3.
And then
Now, we can use the point-slope formula to find an equation for the line. The point-slope formula states:
Put the values in it then
y - (-3) = 2/3 (x-(-2))
y +3 = 2/3 (x +2)
3y + 9 = 2x + 4
3y - 2x = 4 -9
3y -2x = -5
3y = 2x - 5
y = 2/3x - 5/3.
So, The equation of the line from give points is y = 2/3x - 5/3.
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Raulf Laue of Germany flipped a pancake 416 times in 120 seconds to set the world record find unit rate in flips per seconds. Round your answer to the nearest hundredth
Answer:
3.47 flips per seconds
Step-by-step explanation:
We are told that:
Raulf Laue of Germany flipped a pancake 416 times in 120 seconds
The unit rate = flips per seconds
Flips = 416 times
Seconds = 120
Hence, = 416 flips /120 seconds
= 3.4666666667 flips/seconds
Therefore, the unite rate approximately to the nearest hundredth is 3.47 flips/seconds.
Answer:
5
x
2
−
10
x
=
5
x
(
x
−
2
)
Step-by-step explanation:
Answer is C as all other choices are even numbers therefore make the equation non-integer.
We have to start by creating an equation.
Cost of System = x
Cost of games = 3x
Thus x + 3x = $500
Now we find x.
4x = 500,
x = 500/4 = 125
So the system is 125,
The games, 125*3 = 375
