Answer:
14491.060542
Step-by-step explanation:
Step-by-step explanation:
2x-7=5
is it shown numbers
Answer: If k > 0 then the parabola won't touch x axis, and the discriminant will be less than 0.
Step-by-step explanation:
When x = h, what will y be? y will be equal to k. k is in other words, the lowest point (minimum) of the parabola, assuming p is positive.
The discriminant is less than zero if there are no real roots (ie the parabola doesn't touch the x axis at all).
The discriminant is greater than zero if there are 2 real roots (ie the parabola touches the x axis at two points).
The discriminant is equal to zero if there is one real root (ie the parabola touches the x axis at one point, with its vertex/lowest point).
SO:
If k = 0, the parabola's lowest point/vertex will be zero, and the discriminant will equal zero
If k > 0 then the parabola won't touch x axis, and the discriminant will be less than 0.
If k < 0 then the parabola will have two real roots that touch the x axis, and the discriminant will be greater than zero.
Answer:
height = 15 inches
Step-by-step explanation:
the volume (V) of a cylinder is calculated as
V = Ah ( A is the base area and h the height )
given V = 1650 and A = 110 , then
1650 = 110h ( divide both sides by 110 )
15 = h
Answer:
circle: 6490.9 cm², quadrant: 1622.7 cm²
Step-by-step explanation:
The circumference of the entire circle is known as 2πr and it is 4 times the given value, since a circle has 4 quadrants:
2πr = 4·71.4 = 285.6, so r = 285.6 / 2π ≈ 45.45
The area of a circle is πr², filling in the value for r we just found:
πr² = π 45.45² ≈ 6490.9 cm²
So the area of a quadrant is one fourth of that:
6490.9/4 = 1622.7 cm²
The question about "its area" can denote the entire circle, or just the quadrant, so two answers are provided.