Answer:
52%
Step-by-step explanation:
62/120 * 100%
Divide by 2 on top and bottom
31/60 * 100 %
.5166666666 * 100 %
51.66666666 %
To the nearest whole number
Rounding the 1, we look at the 6 6>=5 so we round the 1 to 2
52%
Answer:
Yes, in a Cartesian Coordinate system each point is given by two numbers. If the question is "where" the function has a max or min value, that's "x", the first number in pair. If the question is "what" is that max or min function value, thats "y", the second number in the pair
Answer:
y = -x - 2
Step-by-step explanation:
Find two points on the line
(0, -2)
(4, -6)
(Y2-Y1)/(X2-X1) = gradient of the line
Where (X1,Y1) = (0, -2) and (X2,Y2) = (4, -6)
(-6--2)/(4-0)
(-6+2)/4
(-4)/(4)
-1
Y = (-1)X + c
Substitute either set of coordinates in to find c.
(0, -2)
Y = (-1)X + c
-2 = (-1)0 + c
-2 = 0 + c
-2 = c
(4,-6)
Y = (-1)X + c
-6 = (-1)4 + c
-6 = -4 +c
-6 + 4 = c
-2 = c
Y = -X -2
<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft.
The correct answer is 75 ft above. T
The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2
To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a).
By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75).
So we conclude that the focus lies 75ft above ground.</span>
