Answer: 10:14, 15:21, 20:28
Step-by-step explanation: These are all multiples of 5 and 7.
5: 10, 15, 20
7: 14, 21, 28
So it is C. 10:14, 15:21, 20:28
1 - For this one I am not too sure as I generally only work with values that require an unknown. This one is an unknown asking for the values to see the fraction equivalent to 3/4 however if I had to guess here it would probably be 9/12 as it asks what is equal to 3/4. 3 goes into 9 3 times and into 12 4 times so it equals 3/4. Note: 9/12 has a numerator less than the denom but so does 6/8 which is the lesser fraction and still equals 3/4.
2 - Well simply put.
3 - For this one we have to do a bit of work.
Basically just make an equation such as n for numerator and d for denominator.
d = 2n - 4
Now all we have to do is plug in.
2 * 3 - 4 = 2
<span>2 * 6 - 4 = 8 </span>
<span>2 * 9 - 4 = 14 </span>
<span>2 * 12 - 4 = 20
</span>So now we know our numerator or n equals 12.
The denominator or d equals 20 so we would get the fraction of....
Answer:
The correct option is;
21 ft
Step-by-step explanation:
The equation of the parabolic arc is as follows;
y = a(x - h)² + k
Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)
We therefore have;
y = a(x - 20)² + 25
Whereby the parabola starts from the origin (0, 0), we have;
0 = a(0 - 20)² + 25
0 = 20²a + 25 → 0 = 400·a + 25
∴a = -25/400 = -1/16
The equation of the parabola is therefore;

To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28
Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;
.