Answer: The span of the bridge is 59.77ft
Step-by-step explanation:
The standard form of equation for an ellipse with vertical major axis is:
(x-h)^2/b^2+(y-k)^2/a^2=1,a>b, (h,k)=(x,y) coordinates of center.
For given problem:
Place center of ellipse, (0,0) at center of bridge at ground level.
Given length of vertical major axis=70=2a
a=35
a^2=1225
Equation of an ellipse with horizontal major axis with center at (0,0)
Equation of ellipse:
x^2/b^2+y^2=1
plug in coordinates of given point on ellipse(27, 15)
27^2/b^2+15^2/a^2=1
729/b^2+225/1225=1
729/b^2=1-225/1225= 0.816
b^2=729/0.816≈ 893
b≈29.88
length of minor axis=2b≈59.77 ft
span of bridge≈59.77 ft
Answer:
B. 4
Step-by-step explanation:
(g o f)(x) means that we put the expression for f(x) in for x in g(x):
(g o f)(x) = g(f(x)) = (x - 2)²
We want to find (g o f)(4), so plug 4 in for x:
(g o f)(x) = (4 - 2)² = 2² = 4
The answer is thus B.
<em>~ an aesthetics lover</em>
Answer:
x value would be 2
Step-by-step explanation:
The computation is shown below:
Given that
x^2 + 2x = 8
x^2 + 2x - 8 = 0
x^2 + 4x - 2x - 8 = 0
x(x + 4) - 2(x + 4) = 0
(x - 2) (x + 4) = 0
So, x value would be 2
x - 2 = 0
x = 2
The answer is B because you would multiply 3 with 2 giving you a total of 6 and then you add the 2 and you get 8
There is 1 solution. X = -10
