Answer:
a^2 +b^2=c^2
Given vertices of the triangle are A(4,4),B(3,5) and C(−1,−1)
We know that slope of line passing through the points (x 1,y 1) and (x 2,y 2
) is given by m= x 2−x 1
y
2
−y
1
,x
2
=x
1
Slope of AB i.e.m
1
=
3−4
5−4
=−1
Slope of BC i.e.m
2
=
−1−3
−1−5
=
−4
−6
=
2
3
Slope of CA i.e. m
3
=
4+1
4+1
=
5
5
=1
Clearly, m
1
m
3
=−1
⇒ line segments AB and CA are perpendicular to each other i.e; the given triangle is right angled at A(4,4).
Thus the points (4,4),(3,5) and (1,1) are the vertices of a right angled triangle.
Step-by-step explanation:
It has to be the original figure but it is in a different spot on the graph
Answer:
Step-by-step explanation:
2x=5
x=2.5
Answer: -4
The formula for slope is rise/run. This means that between two points, you have to see the distance going up and down/ left and right.
Looking at points (0,-1) and (3,-1), you can see that the height difference is 4 units. This means that the rise is 4.
rise/run
4/run
Left and right, the difference is only one unit.
4/run
4/1
4
This graph is also negative, so let’s add that in.
-4
This is your answer! I know it wasn’t one of the options you provided, but I’m pretty sure that this is the answer.
Hope this helps comment below for more questions :)
The constant value (often written k) relating amounts that rise or fall uniformly together. It is the ratio of the amounts y and x: k = y/x. Put another way: y = kx. Example: you are paid $20 an hour.
Hope this helps
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