Answer:
180 yards.
Step-by-step explanation:
80% of 225 = 180.
Answer:
y = x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 and c = - 7, thus
y = x - 7 ← equation of line
H(d)=height from water
when he reaches the water, his height from water=0
so set the equation equal to zero and solve
0=-d^2+2d+24
multiply both sides by -1 for ease
0=d^2-2d-24
now find what 2 factors of -24 add up to -2
answer is -6 and 4
0=(d-6)(d+4)
set each to zero
d-6=0
d=6
d+4=0
d=-4
you cannot have negative distance because that means he hasn't jumped yet so get rid of this number
d=6
answer is 6 meters
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
