Answer:

Step-by-step explanation:
From the given information:
The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.
Now, let V(x) be the time needed for the runner to reach the buoy;
∴ We can say that,

In order to estimate the point along the shore, x meters from B, the runner should stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.
i.e
The differential of V(x) = V'(x) =0
=





squaring both sides; we get


By cross multiplying; we get










Answer:
(2,-2)
Step-by-step explanation:
The first step is to substitute y in the first equation with the right side of the second equation because they both equal to y.
-3x+4 = 4x-10
-3x-4x+4-4 = 4x-4x-10-4
-7x = -14
-7x/-7 = -14/-7
x = 2
Plugin 2 for x for either equation to solve for y, I'll be using the second equation, but either one is fine.
y = 4(2)-10
y = 8-10
y = -2
Plugin x = 2 and y = -2 into (x,y), and you get (2,-2)
Answer:
-3.1, -3.2, -3.3, -3.4, -3.5, -3.6
Step-by-step explanation:
Answer:
3 pints = 6 cups
Step-by-step explanation:
Formula: multiply the volume value by 2
Step-by-step explanation:
Let x represent theta.

Using the angle addition trig formula,



Multiply one side at a time
Replace theta with x , the answer is

2. Convert 30 degrees into radian

Using tangent formula,


Tan if pi/6 is sqr root of 3/3

Since my phone about to die if you later simplify that,
you'll get

Replace theta with X.