Answer:
the distance between the penguins and the fish tanks is 81 ft
Step-by-step explanation:
Let A is the point of whales
Let B is the point of Sharks
Let D is the point of Dophines
Let P is the point of penguins
Let F is the point of Fish tank
From a look at the photo, we can find some special properties that:
AB//PF
In triangle ABD and DPF we have
- ∠BAD=∠PFD(Alternate angles)
- ∠ADB=∠PDF(Vertically opposite angles)
By AA rule, ABD and DPF are similar to each other
Therefore, using the similarity property, we have:
= 
So the distance between the penguins and the fish tanks is 81 ft
Answer: y = (-4/9)x2 + (16/9)x + (47/9)
Step-by-step explanation:
f(x) = a(x - h)2 + k, where the vertex is (h,k) = (2,7) while passing through the point (x,y) = (-1,3). We must plug everything in to solve for a first. Then,
3 = a(-1 - 2)2 + 7
3 = a(-3)2 + 7................Subtract 7 to both sides such that
-4 = 9a...............Then divide 9 such that
a = (-4/9)
Now we plug a into the equation with the vertex to create the parabolic function such that
y = (-4/9)(x - 2)2 + 7 ..............Then FOIL the (x-2)2 such that
y = (-4/9)(x2 - 4x + 4) + 7..............Then distribute the (-4/9) inside such that
y = (-4/9)x2 + (16/9)x - (16/9) + 7.............Then (-16/9) + 7 = (-16/9) + (63/9) = 47/9
so, y = (-4/9)x2 + (16/9)x + (47/9)
The coefficient is just what the variable is multiplied by, so:
-5q.
Answer:
NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by
Assuming rocket launched at t = 0 and height is measured above sea level in meters.
Step-by-step explanation:
