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balandron [24]
2 years ago
11

Write the equation of a line that meets all the following requirements:

Mathematics
1 answer:
LuckyWell [14K]2 years ago
8 0

9514 1404 393

Answer:

  • x + y = 5
  • y = -x + 5

Step-by-step explanation:

We can start with the point-slope form of the equation for a line. To meet the given requirements, we can use a point of (5, 0) and a slope of -1. Then the equation in that form is ...

  y -0 = -1(x -5)

Simplifying gives the slope-intercept form:

  y = -x +5 . . . . . . . use the distributive property to eliminate parentheses

Adding x to both sides gives the standard form:

  x + y = 5

__

<em>Explanation</em>

We know the line has the required intercept and slope because we chose those values to put into the point-slope form. Conversion from one form to another made use of the rules of equality, the additive identity element (y-0=y), and the distributive property.

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Step-by-step explanation:

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3 years ago
A dartboard has a diameter of 18 inches.What are its radius and circumference?
allsm [11]
Diameter of the dartboard as given in the question = 18 inches
Then
Radius of the dartboard will be = 18/2 inches
                                                  = 9 inches
We already know that
Circumference of a circle = <span>2π</span>r
We also know that the value of <span>π = 3.14159
Then
Circumference of the dartboard = 2 * 3.14159 * 9 inches
                                                    = 56.548 inches
                                                    = 56.55 inches
So the radius of the dartboard is 9 inches and the circumference of the dartboard is 56.55 inches. I hope the procedure is absolutely clear to you.
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