Answer:
y + 2 = ⁶/₅(x - 5) {the point-slope form of the equation}
y = ⁶/₅x - 8 {the slope-intercept form of the equation}
6x - 5y = 40 {the standard form of the equation}
Step-by-step explanation:
The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.
m = ⁶/₅
(5, -2) ⇒ x₀ = 5, y₀ = -2
So, the point-slope form of the equation:
y + 2 = ⁶/₅(x - 5)
Therefore:
y + 2 = ⁶/₅x - 6 {subtract 2 from both sides}
y = ⁶/₅x - 8 ← the slope-intercept form of the equation
-⁶/₅x + y = - 8 {multiply both sides by (-5)}
6x - 5y = 40 ← the standard form of the equation
The inequality that represents the steps taken after the first day is 2000 + 500x ≥ 10000
<h3>Part A: The inequality that represents the number of steps?</h3>
The given parameters are:
- Initial number of steps = 2000
- Rate each day = 500
- Total number of steps = At least 10000
In inequality, at least means greater than or equal to i.e. ≥.
So, the inequality that represents the number of step each day (x) after the first day is:
2000 + 500 * x ≥ 10000
This gives
2000 + 500x ≥ 10000
<h3>Part B: How to exceed the goal</h3>
To exceed the goal faster, Angel can do any of the following activities:
- Increase the initial number of steps from 2000 to (say) 2500. This is represented by 2500 + 500x ≥ 10000
- Increase the rate from 500 to (say) 600. This is represented by 2000 + 600x ≥ 10000
Read more about linear inequalities at:
brainly.com/question/18881247
#SPJ1
Answer:
sin^-1 (√111)/2√37) = 60°
Good evening ,
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Answer:
Bar chart (graph)
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Step-by-step explanation:
Look at the photo below for the details,
:)
