There are 2 order pairs there (6,-4),(-2,4)
find the midpoint using the formula
(x1+x2)/2 , (y1+y2)/2
x=6 and -2
y=-4 and 4
(6+2)/2 , (-4+4)/2
8/2 ,0/2
the midpoint is (4,0) A
Answer:
4 2/3 = 12/3 + 2/3 = 14/3
11 1/12 = 132/12 + 1/12 = 133/12
then you have to change the denomiators so that they are the same. you can multiply 14/3 times 4/4 and the the denomiators will both be 12.
14/3 x 4/4 = 56/12
133/12 + 56/12 = 189/12
15 9/12 = 15 3/4
Step-by-step explanation:
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;
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A.
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Correct Answer: We are to find:
Multiplying and simplifying the radicals, we get: