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:
The measure of the angles are 55° and 35°
Step-by-step explanation:
Sum of two angles that are complement of each other are 90.
The angles are A and B, so we can write:
A + B = 90
Also,
The difference is 20. Let A be the greater of them, so we can write equation 2 as:
A - B = 20
Now, we add up both equations, eliminate B and solve for A first:
A + B = 90
A - B = 20
---------------
2A = 90 + 20
2A = 110
A = 110/2
A = 55
And now the measure of B:
A + B = 90
55 + B = 90
B = 90 - 55
B = 35
Step-by-step explanation:

Wouldn't it be 1? Because any number to the zero post power is 1?
2 waffles =3$
2x4=8 waffles (How many waffles Sage wants)
3 + 3 + 3 + 3= 12 (or 3x4)
(2) (4) (6) (8)
<u>12$ at I Scream</u>
4 waffles= 4$
4 waffles x2=8$
<u>8$ at Scoopz</u>
12-8= 4
<h3>Sage would save 4 dollars if she got 8 waffles at Scoopz.</h3>