Find the area of DEF with vertices D(-6,19), E(-1,9), and F(-8,9)
1 answer:
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Answer:
y = -x + 11
Step-by-step explanation:
The equation of a straight line is is given by:
y = mx + b; where m is the slope and b is the y intercept
The equation of the line joining G(9, 8) and H(3, 2) is given as:
The perpendicular bisector of the line joining G(9, 8) and H(3, 2) is perpendicular to the line joining G(9, 8) and H(3, 2) and passes through the midpoint of line joining G(9, 8) and H(3, 2).
Let (x, y) be the midpoint of the line joining G(9, 8) and H(3, 2). Hence:
x = (9 + 3)/2 = 6
y = (8 + 2)/2 = 5
The midpoint = (6, 5)
Two lines are perpendicular if the product of their slopes is -1.
The line joining G(9, 8) and H(3, 2) has a slope of 1, hence, the slope of the perpendicular bisector would be -1.
This means that the perpendicular bisector has a slope of -1 and passes through (6, 5). Using:
The equation of the perpendicular bisector is y = -x + 11
Answer:
2.05 inches
Step-by-step explanation:
V = 4/3 x πr³
36=4πr³/3
36x3= 4πr³
108= 4πr³
108/4 = πr³
27= πr^3
27/π =r³
r=
r= 2.048in
round off to 2.05in
<u>PROOF</u>
V = 4÷3 x πr³
V= 4/3 x π(2.05)³
V=4/3 x π8.6
V=4×π×8.6/3
V=108/3
V=36in³
Therefore: radius= <u>2.05 inches</u>