Passes through (2,4). same y-intercept as line with equation x-4y=8
1 answer:
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Answer:
is an odd function.
Step-by-step explanation:
We are asked to prove whether is even or odd.
We know that a function is even if
and a function
is odd, when
.
We also know that an even function is symmetric with respect to y-axis and an odd function is symmetric about the origin.
Upon looking at our attachment, we can see that is symmetric with respect to origin, therefore,
is an odd function.
Answer:
Correct option is
b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.
Step-by-step explanation:
Here, we are given the line RQ, which is divided in two equal parts by a line PS which is perpendicular to RQ.
The foot S of PS is on the line RQ.
First of all, let us do a construction here.
Join the point R with P and P with Q.
Please refer to the attached image.
Now, let us consider the triangles PQS and PRS:
- Side QS = RS (as given)
- Side PS = PS (Common side in both the triangles)
Now, Two sides and the angle included between the two triangles are equal.
So by SAS congruence we can say that
Therefore, the corresponding sides will also be equal.
RP = QP
RP is the distance between R and P.
QP is the distance between Q and P.
Hence, to prove that P is equidistant from R and Q, we have proved that:
b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.
