Answer:
The distance between the docks & island is 44.07 km.
Step-by-step explanation:
Speed of the boat S = 3.4 knot = 6.3 
Time taken by bot to reach the island = 7 hr
We know that the distance is given by
Distance = Speed × Time
Put all the values in above equation we get
D = 6.3 × 7
D = 44.07 km
Therefore the distance between the docks & island is 44.07 km.
No because y=5 is a horizontal line on a graph, in this scenario the x-values would stay the same
Answer: y = -14/9(x + 4)^2 + 7
Step-by-step explanation:
The given roots of the quadratic function is (-1, -7)
The vertex is at (-4, 7)
The formula is
y = a(x - h)^2 + k
The vertex is (h, k)
Comparing with the given vertex, (-4, 7), h = -4 and k = 7
Substituting into the formula
y = a(x - h)^2 + k, it becomes
y = a(x - - 4)^2 + 7
y = a(x + 4)^2 + 7
From the roots given (-1, -7)
x = -1 and y = -7
Substituting x = -1 and y = -7 into the equation,
y = a(x + 4)^2 + 7, it becomes
-7 = a(-1+4)^2 + 7
-7 = a(3^2 ) + 7
- 7 = 9a + 7
-7-7 = 9a
9a = -14
a = -14/9
Substituting a = - 14/9 into the equation, it becomes
y = -14/9(x + 4)^2 + 7
The number could be several different ones. Are you sure that's exactly what the problem says? If not, I'm going to ask you write the entire problem. If not, then whoever made it did not give enough information for there to be an absolute answer. I'm sorry I couldn't help you, but I really hope I can with more information.
