Answer:
A. H<0
Step-by-step explanation:
<em>Add by 4 from both sides of equation.</em>
<em>-4+4>-4+h+4</em>
<em>Simplify.</em>
<em>0>h</em>
<em>Then, switch sides to find the answer.</em>
<em>h<0</em>
<em>h<0 is the correct answer.</em>
<u><em>Answer:</em></u>
(c) 4.1 km
<u><em>Explanation:</em></u>
We are given that the height of the balloon is 4 km and that it is 1 km away from the station.
Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image
<u>where:</u>
height of the balloon = 4 km represents one side of the triangle
distance between the base of the balloon and the station = 1 km represents the other side
distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.
<u>To get the length of the hypotenuse, we will use the Pythagorean theorem</u>

<u>Substitute with the givens:</u>
= √17 ≈ 4.1 km
Hope this helps :)
The parent function is:
y = x ^ 2
Applying the following function transformation we have:
Horizontal translations:
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right.
We have then:
g (x) = (x-2) ^ 2
Then, we have the following function transformation:
Vertical translations
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
We have then that the original function is:
g (x) = (x-2) ^ 2
Applying the transformation we have
f (x) = g (x) +3
f (x) = (x-2) ^ 2 + 3
Answer:
the function f(x) moves horizontally 2 units rigth.
The function f (x) is shifted vertically 3 units up.
Step-by-step explanation:
One fish eats = 4 pellets
Second fish eats = 5 pellets
No of days one fish stays with Sophie = 72 ÷ 4 = 18 days
No of days second fish stays with Sophie = 72 ÷ 5 = 14.4 days
Solving
S = 3F - 24
for F gives
S + 24 = 3F
(S + 24)/3 = F
The best choice is the last one:
F = (S + 24)/3