Answer:
The midpoint is (-1,-1)
This is in quadrant III
Step-by-step explanation:
The x coordinate of the midpoint is
(-4+2)/2 = -2/2 = -1
The y coordinate of the midpoint is
(1+-3)/2 = -2/2 = -1
The midpoint is (-1,-1)
The quadrant with both negative points is quadrant III
The associative property states : a + (b + c) = (a + b) + c....and this is what ur problem is.
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.
The volume of a cone whose radius is 3 1 / 2 cm and vertical height is 24 cm is 307.72 cm³
<h3>Volume of a cone</h3>
The volume of a cone can be represented as follows:
volume = 1 / 3 πr²h
where
Therefore,
r = 3 1 / 2 cm = 7 / 2 cm
h = 24 cm
Hence,
volume = 1 / 3 × π × (7 / 2 )² × 24
volume of a cone = 1 / 3 × π × 49 / 4 × 24
volume of the cone = 1 / 3 × π × 1176 / 4
volume of the cone = 1176 / 12 π
volume of the cone = 98π
volume of the cone = 307.72 cm³
learn more on volume here: brainly.com/question/20380818
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