Answer:
(1, 0) and (3, 0)
Step-by-step explanation:
y=2x²-8x+6
x- intercept when y=0
- 2x²-8x+6=0
- x²-4x+4=1
- (x-2)²=1
- x-2=1 ⇒ x= 3
- x-2= -1 ⇒ x= 1
x=8.9 because when you square it and divide you get 39.6.. rounded to 40.
Answer:
(3, 1)
Step-by-step explanation:
A circle with radius √10 and centre at (0, 0) will have a point (3, 1) on its circumference.
Answer:
685,653 lb
Step-by-step explanation:
The weight of the liquid can be found by multiplying its volume by its density. The volume will be that of a hemisphere, which can be found using the appropriate formula.
<h3>Hemisphere volume</h3>
The volume of a hemisphere with radius r is given by ...
V = (2π/3)r³
When the radius is 15 ft, the volume is ...
V = (2π/3)(15 ft)³ = 2250π ft³
<h3>Weight</h3>
The weight of the liquid in the tank is found using the density.
W = ρV
W = (97 lb/ft³)(2250π ft³) = 218250π lb ≈ 685,653 lb
The total weight of the liquid in the tank is about 685,653 pounds.
