Answer: 10 units.
Step-by-step explanation:
The equation of the circle in Center-radius form is:
Where the center is (h,k) and "r" is the radius.
The equation of the circle given is:
You can observe that is written in Center-radius form.
Then, you can identify that:
Knowing this, you need to solve for "r" to find the lenght of the radius.
This is:
Therefore, the lenght of the radius is 10 units.
Vary Directly: y = k*x
Vary Inversely: y = k/x
Because x and y vary directly, our equation will look like the first one.
y = k*x
With the inputted values:
-16 = k * 4
Now, to find k, isolate the variable
k = -16/4 = -4
Your final equation will then look like this:
y = -4 * x
The dog must take 125 steps if Evan takes 50.
Option C is correct
<h3>What exactly is a series query?</h3>
These problems are based on numerical series that adhere to a logical rule or pattern derived from fundamental notions in mathematics. The pattern must be examined from a certain sequence that is presented. The following question asks you to anticipate the subsequent number in the series using the same formula.
<h3>Sequence and series types?</h3>
arithmetic progressions Sequences in geometry. Harmonic patterns.
Evan takes ten steps before the dog takes 25 steps.
Evan takes 28 steps first, then the dog takes 70 steps.
Evan takes 50 steps, followed by the dog's 125 steps.
To know more about series question visit:-
brainly.com/question/16415816
#SPJ13
Answer:
D. (-5,2)
Step-by-step explanation:
1st reflection = reflection across the line k with the rule:
(x,y)→(-y,-x)
So,
(2,5)→(-5,-2)
2nd reflection = reflection across the x-axis with the rule
(x,y)→(x,-y)
So,
(-5,-2)→(-5,2)
After two consecutive reflections
(2,5)→(5,2)
