(Repost) The points (2, 1), (5, –2), and (–2, –3) describe the vertices of a triangle. Is the triangle a right triangle? Hint: p
2 answers:
Answer: It is a right triangle.
the attachment shows the graphed triangle.
Step-by-step explanation: The slope of the line between coordinates (-2,-3) and (2,1) is +1 rise/run is 4/4
The slope of the line between points (2,1) and (5,-2) is -1 rise/run -3/3
These slopes are perpendicular to each other, so they form the right angle of this triangle.
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$14,903.85
Step-by-step explanation:
So, Ms. Lui earns $775,000 each year. To find the weekly salary, we have to divide the annual income by the amount of weeks in a year. There are about 52 weeks in one year. Let's find the weekly salary:
Therefore, Ms. Lui earns $14,903.85 a week.
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Answer:
Step-by-step explanation:
We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: , where m= Slope of the line, b= y-intercept.
To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.
We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).
Let us substitute coordinates of our both given points in slope formula: ,
Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.
Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,
Therefore, our desired equation will be .