Answer:
1x - y + 3 = 0
Step-by-step explanation:
y = 1(x) + 3
y = 1x + 3
1x - y + 3 = 0
The maximum height of the diver would be the y value of the vertex of the graph. The vertex of the graph is (1,4). The maximum height of the diver is 4 meters.
Answer:
y = -1/2x - 11/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-4 - (-5) / -3 - (-1)
1/ -2
= -1/2
y = -1/2x + b
-5 = -1/2(-1) + b
-5 = 1/2 + b
-11/2 = b
Answer:
x = -12
y = 11
Step-by-step explanation:
i used substitution and let 'x' = 10 - 2y
3(10 - 2y) + 4y = 8
30 - 6y + 4y = 8
30 -2y = 8
-2y = -22
y = 11
x + 2(11) = 10
x + 22 = 10
x = -12
Answer:
a = 
. Surface Area = 
. and area of the Dish = +pi
= +50.27=51.6
Step-by-step explanation:
(1) Constant. y(x) = a
that is the curve that we need to rotate around the y axis to get the parabola with diameter of 8 feet and 2 meter depth that statement is translated in mathematics as x = -4 to 4 and y = 0 to 2.
y max = 2, x max = 4 setting up a equation with a unknown gives
2=a4 and a = .
so we have now.
y(x) = 
(Done with solving for a Constant).
(2) Surface Area.
Setting Up surface integral.
(i) range in x = 0 to 4.
(ii) range in y = 0 to 2.
integral is.
Integral(0-2)[{integral[(0-4)
]}]dy
Evaluating this integral gives. .
and area is surface area + area of the circle with 8ft diameter.
= +pi = +50.27=51.6...
Note the Difference between area and aurface area.!
