Answer:
It is an acute triangle.
Step-by-step explanation:
It would be much easier for you to see where I'm getting at if you draw a diagram.
Assume this triangle is labelled ABC where a = 14, b = 21, and c = 16.
cos A = (16^2 + 21^2 - 14^2)/(2(16)(21))
∠A = cos^-1(0.82291...)
∠A ≅ 34.6°
cos B = 16^2 + 14^2 - 21^2)/(2(16)(14))
∠B = cos^-1(0.024...)
∠B ≅ 56.8°
∠C = 180 - (∠A + ∠B)
∠C ≅ 56.8°
Since there is no right-angle nor is there an obtuse angle,
Therefore the triangle is an acute triangle.
1*60 | 60-1 =59
2*30 | 30-2 =28
3*20 | 20+3 = 23
4*15 | 15+4 =19
5*12 | 12+5 =17
6*10 | 10+6 =16
Not possible. You can get a 23. But not 22.
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Answer:
y = 3x + 5
Step-by-step explanation:
1) First, find the slope between the pair of points. Use the slope formula 
. Substitute the x and y values of points A and B into the formula and simplify:
So, the slope is 3.
2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.
3) Using slope-intercept format, represented by the equation 
, write the equation of the line. Remember that the number in place of 
, or the coefficient of the x-term, is the slope. So, substitute 3 for . Also, remember that 
represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:
