For the seagull to catch the crab, h(t)=g(t) so:
-16t^2+45=-13t+23 add 16t^2 to both sides
45=16t^2-13t+23 subtract 45 from both sides
16t^2-13t-22=0 using the quadratic equation:
t=(13±√1577)/32, since t>0
t=(13+√1577)/32 seconds
t≈1.65 seconds (to nearest hundredth of a second)
And the height that this occurs using either original equation is:
h((13+√1577)/32)≈1.59 ft (to nearest hundredth of a foot)
Answer:
r=3
Step-by-step explanation:
The diameter is double the radius. So, divide by 2.
Answer:
Step-by-step explanation:
The point
is on the graph of the equation.
Explanation:
The equation is 
We need to determine the point
is on the graph.
To determine the point
is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.
Thus, substituting the point
in the equation
, we get,

Multiplying the terms within the bracket, we have,

Adding the LHS, we have,

Thus, both sides of the equation are equal.
Hence, the point
is on the graph of the equation 
The answer is A. You just need to add 117,000 + 71,500= 184,500. Is this answer fine?