Answer:
v = 0, or v = 8
Step-by-step explanation:
The quadratic can be factored, then the zero product rule applied.
v^2 -8v = 0
v(v -8) = 0
A product will be zero when any of the factors is zero. So, the solutions are values of v that make the factors be zero.
v = 0
v -8 = 0 . . . ⇒ . . . v = 8
.23 times 5 is 1.15
the answer would be she used 1.15 feet of ribbon
78,000 rounded to the nearest ten thousand is 80,000.
Answer: Rate of change of Area of the triangle = 2.75cm~/min
Step-by-step explanation:
If the present height of the triangle is 22cm and the height increases by 5cm/min. It means the height was 2cm four minutes earlier: 5cm for 1st min + 5cm for 2nd min + 5cm for 3rd min + 5cm for 4th min = 20cm after 4min.
Therefore height equals 22 - 20 = 2cm four minutes earlier.
Using the same four minutes for the base. Since the base shrinks at 1cm/min, for the base to shrink to 10cm it means it was 14cm four minutes earlier.
The Area of a triangle is given by
A = 1/2 × base × height
Therefore Area= 1/2× 10×22 = 110cm~
Since it took four minutes to get to this area, the rate of change of the area will be 110÷4 = 2.75cm~/min