Answer:
21
Step-by-step explanation:
Answer:
Step-by-step explanation:
The base of the cylinder is in the shape of a circle:
Area of the base=
For Base area=22 square units
Volume of the cylinder=
For volume '198 cubic units' the height(h) is:
Answer: 50 miles per hour
Step-by-step explanation:
The average speed of the car will be gotten by using the formula:
= Distance/Time
where,
Distance = 65 miles
Time = 14:48 - 13:30 = 1:18 hours = 1 hour 18 minutes = 1 18/60 = 1.3 hours
Speed = Distance / Time
= 65 miles / 1.3 hours
= 50 miles per hour
The vertex of this parabola is at (3,-2). When the x-value is 4, the y-value is 3: (4,3) is a point on the parabola. Let's use the standard equation of a parabola in vertex form:
y-k = a(x-h)^2, where (h,k) is the vertex (here (3,-2)) and (x,y): (4,3) is another point on the parabola. Since (3,-2) is the lowest point of the parabola, and (4,3) is thus higher up, we know that the parabola opens up.
Substituting the given info into the equation y-k = a(x-h)^2, we get:
3-[-2] = a(4-3)^2, or 5 = a(1)^2. Thus, a = 5, and the equation of the parabola is
y+2 = 5(x-3)^2 The coefficient of the x^2 term is thus 5.
Answer:
2y-4-6y-12=4
-4y=20
y= -5
Step-by-step explanation:
because (y+2)(y-2)=y^2-4
so we have the step to let the every part have the same denominator y^2-4
2(y-2)/(y+2)(y-2) -6(y+2)/(y-2)(y+2)=4/(y-2)(y+2)
the denominators are the same so the equality .we just need the part over be the same 2y-4-6y-12=4
y= -5
