Complete the two column proof.
1 answer:
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Answer: (x - 2)² + (y - 14)² = 1
Step-by-step explanation:
<u>Concept:</u>
Here, we need to know the idea of the circle formula.
Circle formula: (x - h)² + (y - k)² = r²
Center = (h, k)
Radius = r
If you are still confused, please refer to the attachment below for a graphical explanation.
<u>Solve:</u>
Center = (2, 14)
Radius = 1
<em>Given formula</em>
(x - h)² + (y - k)² = r²
<em>Substitute the value into the formula</em>
(x - 2)² + (y - 14)² = (1)²
<em>Simplify</em>
(x - 2)² + (y - 14)² = 1
Hope this helps!! :)
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Answer:
Andrew walks more steps than Sarah.
Step-by-step explanation:
The question is incomplete. The complete question is :
Andrew and Sarah are tracking the number of steps they walk. Andrew records that he can walk 6000 steps in 50 minutes. Sarah writes the equation y=118x, where y is the number of steps and x is the number of minutes she walks, to describe her step rate. This week, Andrew and Sarah each walk for a total of 5 hours. Who walks more steps?
Solution:
Given:
Andrew walks 6000 steps in 50 minutes.
Number of steps Sarah walks is given by the equation :
where is the number of steps and
is the number of minutes she walks.
Finding the number of steps each walks in 5 hours.
Total number of minutes in 5 hours =
For Andrew:
Using unitary method:
If in 50 minutes Andrew walks = 6000 steps.
In 1 minute he will walk = = 120 steps
In 300 minutes he will walk = steps
Thus, Andrew will walk 36,000 steps in 5 hours.
For Sarah:
We will plugin in the equation and solve for
.
We have:
∴
Thus, Sarah will walk 35,400 steps in 5 hours.
Therefore, Andrew walks more steps than Sarah as .