Answer:
K=-2.5
Step-by-step explanation:
because the line is in the middle of 2 and 3 and is below which means that it is negative
Answer:
636.4 in³
Step-by-step explanation:
Volume of a cone is given by:
where r is the radius of the base of the cone and h is its height.
It is given that, the radius of the base of the cone is, r = 8 in
The height of the cone is, h = 9.5
Thus, the volume of the cone is 636.4 in³
Answer:
y = -5.5
Step-by-step explanation:
The only lines that have a slope of 0 are horizontal lines. Horizontal lines are always in the form y = c where c is a constant. Basically, on a horizontal line, no matter what x is, y will always be the constant c. Therefore, the x coordinate of our given point does not matter and we only have to look a the y-coordinate, which is -5.5. Therefore, the equation is y = -5.5.
Answer:
y = x² - 4x - 21
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
Here (h, k) = (2, - 25), thus
y = a(x - 2)² - 25
To find a substitute (7, 0) into the equation
0 = a(7 - 2)² - 25 = a(5)² - 25 = 25a - 25 ( add 25 from both sides )
25a = 25 ( divide both sides by 25
a = 1, thus
y = (x - 2)² - 25 ← in vertex form
Expand and simplify
y = x² - 4x + 4 - 25
y = x² - 4x - 21 ← in standard form
In order to solve this problem, you must create a ratio. If Bangor is 240 miles away and Javier has only 4 hours to get there, we can divide 240 by 4 which equals 60 miles per hour.
