If a line's slope is
, the slope of the perpendicular line is
in this case, the given line has a slope 4, which is 4/1, so the perpendicular line has a slope/gradient
Answer:
11.781 cubic inches (round accordingly)
Step-by-step explanation:
The formula for the volume of a cone is:
where r is the radius and h is the height.
For our ice cream cone:
d = 3 inches
r = 1.5 inches (the radius is half of the diameter)
h= 5 inches
So all we have to do is plug in our values and solve for the volume:
So our final answer is around 11.8 cubic inches.
Answer:
= 2.48 × 10¹²
(scientific notation)
= 2.48e12
(scientific e notation)
= 2.48 × 10¹²
(engineering notation)
(trillion; prefix tera- (T))
= 2480000000000
<span>(real number)</span>
The first one I think not sure
Answer:
y = (x - 4)² - 25
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
y = (x + 1)(x - 9) ← expand factors using FOIL, thus
y = x² - 8x - 9
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
y = x² + 2(- 4)x + 16 - 16 - 9
= (x - 4)² - 25 ← in vertex form
