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:
12 and 38, maybe 42
Step-by-step explanation:
Answer:
A, D, and F
Step-by-step explanation:
First off, we're not given the hypotenuse's length, so let's use the Pythagorean Theorem to find it:
With that, we can refer to SOH-CAH-TOA to help us find sine, cosine, and tangent:
SOH (Sine = Opposite/Hypotenuse)
CAH (Cosine = Adjacent/Hypotenuse)
TOA (Tangent = Opposite/Adjacent)
From this, we can see that A matches up with sine, and we can eliminate B and C.
Cosecant, secant, and cotangent are all reciprocals of the three basic trig ratios:
D matches with cosecant, and F matches with cotangent, so the correct trig rations for θ are A, D, and F.
Answer:
(4, 3 )
Step-by-step explanation:
Given a system of equations graphically, then the solution is at the point of intersection of the 2 lines.
The lines intersect at (4, 3 ) ← solution