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:
From the sample used to find out what psychology majors would join the club and if it is biased, we can say that;
<u><em>- Yes, the sampling method is biased. </em></u>
<u><em>- The likely direction of the bias is because you only asked 5 people which </em></u>
<u><em>is not a significant percentage of those offering psychology majors and as </em></u>
<u><em>such the 4 out of 5 gotten is likely going to be an over estimation of those </em></u>
<u><em>who are willing to pay to join this club.</em></u>
We are told that;
- You want to start a club.
- This club is for psychology majors.
- You want to find the proportion of those in the psychology majors that will join this club you want to organize.
- Now, out of all the students offering psychology majors, you only asked 5 of them if they will be interested. Since 4 out of the 5 are interested and you want to use that to form a basis of the proportion of those interested , it would lead to <em>sampling bias</em> since the population is not adequately represented.
Therefore, this would lead to sampling bias and thus the sample is biased.
Read more at; brainly.com/question/12637861
Y-1=2(x+3) just plug into the formula
I believe it will be 36 Im sorry if im wrong.
