We know that
case a)the equation of the vertical parabola write in vertex form is
y=a(x-h)²+k,
where (h, k) is the vertex.
Using our vertex, we have:
y=a(x-2)²-1
We know that the parabola goes through (5, 0),
so
we can use these coordinates to find the value of a:
0=a(5-2)²-1
0=a(3)²-1
0=9a-1
Add 1 to both sides:
0+1=9a-1+1
1=9a
Divide both sides by 9:
1/9 = 9a/9
1/9 = a
y=(1/9)(x-2)²-1
the answer isa=1/9case b)the equation of the horizontal parabola write in vertex form is
x=a(y-k)²+h,
where (h, k) is the vertex.
Using our vertex, we have:
x=a(y+1)²+2,
We know that the parabola goes through (5, 0),
so
we can use these coordinates to find the value of a:
5=a(0+1)²+2
5=a+2
a=5-2
a=3
x=3(y+1)²+2
the answer isa=3
see the attached figure
P=2.50x+100
The slope of the function is 2.50 which represents the commission Dylan makes for each computer sale. :)
Answer:
the answer is option B. angle S.
when naming an angle we place the vertex of the angle in the middle. here the angle is RST. But that option is unavailable. very often when there are no other angles interfering with the parent angle, we represent it using one letter that is the mid letter, the vertex. here in this case it is S.
Answer:
5 inches
Step-by-step explanation:
The formula to find the surface area of a cylinder is A = 2πrh + 2πr²
Since we need the height we will need to solve for h
- First we can subtract 2πr² from both sides to get A - 2πr² = 2πrh
- Then we can divide both sides by 2πr to get
Now we can plug in our known values and solve for h
- Here we were given the diameter, d, however this formula is in terms of the radius, r.
- The diameter is equivalent to double the radius, d = 2r
- Therefore the radius is equivalent to half the diameter,
- Plugging in d to solve for r we get
which simplifies to r = 1
The two variables for this equation we have no obtained, A = 12π and r = 1, so we can plug them into our equation to solve for the height
- The height is 5 inches
So,
Obviously, the car will travel 70 miles in one hour. So after one hour, the car will have traveled 70 miles. That leaves 18 miles.
The time it will take for the car to go another 18 miles will be 18 divided by 70.

Simplify.



Divide.
≈ 0.25714
So a car traveling at 70 mph will take approximately 1.25714 hours or 1.26 hours to travel 88 miles.