Answer:
(x+4)^2 + (y-9)^2 = 25
Step-by-step explanation:
We can use the equation (x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
The center is at (-4,9) and the diameter is 10 which means the radius is 10/2 or 5
(x- -4)^2 + (y-9)^2 = 5^2
(x+4)^2 + (y-9)^2 = 25
Answer:
5
Step-by-step explanation:
Given:
The equation is
To find:
The value of b.
Solution:
We have,
Subtracting both sides by 
, we get
Therefore, the value of b is 
.
1) The two lines are <em>perpendicular</em>. (Correct choice: True)
2) The slope of the <em>linear</em> function is $ 10 per hour. (Correct choice: A)
<h3>How to analyze and interpret linear functions</h3>
Herein we must understand and analyze <em>linear</em> functions to find all required information from two exercises. The first exercise asks us to prove if the two lines seen are <em>perpendicular</em> and the second exercise asks us to calculate and interpret the slope of the <em>linear</em> function. Now we proceed to resolve each point:
Exercise 1
If the two lines are perpendicular, then the product of the two slopes must be equal to - 1. The value of slope can be found by <em>secant line</em> formula:
m · m' = - 1
[(1 - 2) / [0 - (-1)]] · [[-1 - (- 2)] / (1 - 0)]
(- 1 / 1) · (1 / 1)
- 1
The two lines are <em>perpendicular</em>. (Correct choice: True)
Exercise 2
In this part we must determine the rate of change of wage in time, in monetary units per time, which can be found by again by the <em>secant line</em> formula:
m = ($ 10 - $ 0) / (1 h - 0 h)
m = $ 10 per hour
The slope of the <em>linear</em> function is $ 10 per hour. (Correct choice: A)
To learn more on linear functions: brainly.com/question/21107621
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