Step-by-step explanation:
i)=
m=2/3
x=-3
y = 5
now
y=mx+c
or, 5 = 2/3× -3 + c
or, 5 = -2+c
c =7
now,
y= mx + c
or, y = 2/3×x+7
or, y = 2x/3+7
or, 3y = 2x+21
so, 3y-2x=21
equation would be 3y-2x=21.
now
ii)=
if slope of 3y-2x=21 and 2x-3y = 0 are same, they are parallel.
2x-3y = 0
2x = 3y
lets suppose x is 9
now
2x=3y
2×9 = 3y
or, 18 = 3y
so, y = 6
one coordinate would be (9,6) now
lets again suppose x is 3
2x=3y
2×3 = 3y
or, 6 = 3y
so, y = 2
another coordinate is (3,2)
now lets find slope
x1=9,y1=6
x2=3,y2=2
slope = (y2-y1)/(x2-x1)
= (2-6)/(3-9)
= -4/-6
= 2/3
Since, slope of 3y-2x=21 and 2x-3y has same slope 2/3, they are parallel.
Yes. It would be a reflection over the line.
X + x + x + x - 20 is equivalent to 4x - 20 because you can add the like terms, or the x's.
The z-score of Kimmie is -0.625
<h3>Calculating z-score</h3>
The formula for calculating the z-score is expressed as;
z = x-η/s
where
η is the mean
s is the standard deviation
x is the Kimmie score
Substitute the given parameter
z = 85.9-88.4/4.0
z = -2.5/4.0
z = -0.625
Hence the z-score of Kimmie is -0.625
Learn more on z-score here: brainly.com/question/25638875
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Answer:
C. 8.52624...
Step-by-step explanation:
The reason that C is different is because all of the other decimals are terminating decimals (meaning that they end or stop), while C is a repeating decimal, because it never ends.
