Step-by-step explanation:
Let's say b is the rate of the boat in still water, and c is the rate of the current.
Distance = rate × time
Going upstream:
100 = (b − c) (5)
20 = b − c
Going downstream:
100 = (b + c) (2)
50 = b + c
Solve the system of equations using substitution or elimination. Using elimination, add the equations together:
70 = 2b
b = 35
c = 15
The boat's speed is 35 km/h, and the current's speed is 15 km/h.
The way to solve radicals include:
- Determine the prime factors of the number under the root.
- Write the prime factors in groups.
- Simplify any multiplication and exponents.
- Simplify the radical until no further simplification can be done.
<h3>How to illustrate the information?</h3>
It should be noted that your information is incomplete. Therefore, an overview will be given.
When the radical symbol is used to denote any root other than a square root, there will be a superscript number in the 'V'-shaped part of the symbol.
For example, 3√(8) means to find the cube root of 8
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It is the graph of p is steeper than the graph of q.
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).
Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.
Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
If the 2 lines are parallel, their slopes are the same.
The slope of both is
3+3
m = ---------- = 3
2 - 0
If the new line <span>passes through the point (−1, −1), then the equation in point slope form is:
y+1 = 3(x+1).</span>
