Answer:
3
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, - 4) , thus
y = a(x - 2)² - 4
To find a substitute (3, - 1 ) into the equation
- 1 = a(3 - 2)² - 4 ( add 4 to both sides )
3 = a
Thus
y = 3(x - 2)2 - 4 ← equation in vertex form
= 3(x² - 4x + 4) + 4
= 3x² - 12x + 12 + 4
= 3x² - 12x + 16 ← equation in standard form
with coefficient of x² term = 3
We are given a scale that for every 1 in on the plan, the actual length will 6.5 ft.
The maximum distance across the pond on the plan is 9.75 in. So that means we will need to take 6.5 ft 9.75 times. So our answer is
6.5*9.75=63.375 ft. That's the answer.
We can visualize this a different way
1 in = 6.5 ft
9.75 in = x ft
And from here it's a little more clear to see what needs to be done.
Hope this helped!
Standard form would be
.407600105028
Hope this helps
The value of v31.36 is v86.29 search it up
In the given question, it is given that
ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet.
And we have to find the value of tan B.
And tangent of any angle is equal to the ratio of vertical by horizontal. That is

And that's the required missing ratio for tan B .