Answer:
(a) scalene, see attachment
(b) acute, see attachment
(c) correct; isosceles
Step-by-step explanation:
(a) The sides of the triangle all have different lengths, so the triangle is scalene. Differences in coordinates between the points of the triangle are (6, 2), (5, 2), and (4, 1), so no two distances between these points can be the same.
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(b) The angle opposite the longest side is clearly an acute angle, so the triangle is an acute triangle.
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(c) Miles and Brad live on the same north/south line. Jose lives at a distance that is halfway between those houses in the north-south direction. Hence the distance to Miles' and Brad's houses must be the same from Jose's house. That means the triangle connecting Miles', Brad's, and Jose's houses will be an isosceles triangle.
Plug in numbers in for x.
If you plug in 0 then you get 1. 1/0 is undefined
If you plug in 1 then you get 6. 6/1 is 6
If you plug in 2 then you get 11. 11/2 is 5.5
If you plug in 3 then you get 16. 16/3 is 5.3 repeating
If you plug in 4 then you get 21. 21/4 is 5.25
If you plug in 5 then you get 26. 26/5 is 5.2
It would only be proportional if you got the same answer after dividing each time.
Answer:
Step-by-step explanation:
First we need to write in correct form :
We know how to divide fractions. If we can divide numerator by numerator, denominator by denominator, we just do it. In this example we can not do that.
So, we rewrite first fraction and multiply by reciprocal second ( numerator and denominator change place)
Now, multiply numerator by numerator, denominator by denominator :
First, you want to identify the slopes and y-int.
Equation 1 = y = -2x + 2
Slope = -2
y-int. = 2 or (0,2)
Equationt 2 = y = 2x + 3
Slope = 2
Y-int. = 3 or (0,3)
To graph, first plot the y-intercepts. Then do the slopes.
Slope = -2
Down 2 over 1 (to the right)
Slope = 2
Up 2 over 1 (to the right)
Then just connect the dots in a line!
