Sample Response:
<em>The linear equations have the same slope, so the rate of change for each is the same. As long as the rate of change is the same, the lines will stay the same distance apart and not intersect.</em>
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Answer:
r = 22.629
Step-by-step explanation:
Using the Pythagorean theorem:
(35 + r)² = 53² + r²
1225 + 70r + r² = 2809 + r²
subtract r² from each side of the equation:
1225 + 70r = 2809
subtract 1225 from each side:
70r = 1584
r = 22.629
Answer:
hey there where are those numbers
Answer:
circle of radius 10 centered at (-2, 0)
Step-by-step explanation:
The equation is of the form ...
(x -h)^2 +(y -k)^2 = r^2
with (h, k) = (-2, 0) and r=10.
This is the standard form of the equation of a circle with radius r centered at (h, k).
See the attached for a graph.
1. Define the Problem
aka What are you trying to solve? In addition to getting clear on what the problem is, defining the problem also establishes a goal for what you want to achieve.
Input: something is wrong or something could be improved.
Output: a clear definition of the opportunity and a goal for fixing it.
2. Brainstorm Ideas
aka What are some ways to solve the problem? The goal is to create a list of possible solutions to choose from. The harder the problem, the more solutions you may need.
Input: a goal; research of the problem and possible solutions; imagination.
Output: pick-list of possible solutions that would achieve the stated goal.
3. Decide on a Solution
aka What are you going to do? The ideal solution is effective (it will meet the goal), efficient (is affordable), and has the fewest side effects (limited consequences from implementation).
Input: pick-list of possible solutions; decision-making criteria.
Output:decision of what solution you will implement.
4. Implement the Solution
aka What are you doing? The implementation of a solution requires planning and execution. It’s often iterative, where the focus should be on short implementation cycles with testing and feedback, not trying to get it “perfect” the first time.
Input: decision; planning; hard work.
Output: resolution to the problem.
5. Review the Results
aka What did you do? To know you successfully solved the problem, it’s important to review what worked, what didn’t and what impact the solution had. It also helps you improve long-term problem solving skills and keeps you from re-inventing the wheel.
