Find the length of cable 1. find cable 2 bridge span. find length of cable 2

Use your knowledge of trig for this. you know the opposite length, 35, and you need to find the hypotenuse. the trig function to use would be SIN.

try to think about which trig functions to use to find the answers for cable 2. if you need more help leave a message.

Xint
set equal to zero and solve since when y=0, that is when line crosses x axis

0=-16x^2+24x+16
undistribute -8
0=-8(2x^2-3x-2)
we conclude that 2x^2-3x-2=0 because if we have -8x=0, we conclude that x=0

0=2x^2-3x-2
factor
0=(x-2)(2x+1)
set to zero
x-2=0
x=2
2x+1=0
x=-1/2

x intercept are at (2,0) and (-1/2,0)


we know that this is a parabola and parbolas normally open up
vertex is max, because leading term (term before the x^2 term) is negative
if it
vertex is -b/2a when  you have ax^2+bx+c=f(x)

a=-16
b=24
-24/(2*-16)=-24/-32=3/4
x coordinate is 3/4
sub for x to fnd  cordinate
f(3/4)=-16(3/4)^2+24(3/4)+16
f(3/4)=-16(9/16)+18+16
f(3/4)=-9+34
f(3/4)=25
vertex coordinate is (3/4,25)


graph vertex and x intercepts and draw a line with vertex as max and going through the x intercepts