The points P(−3, 6) and Q(1, 4) are two vertices of right triangle PQR . The hypotenuse of the triangle is PQ⎯⎯⎯⎯⎯ .
2 answers:
Answer: Coordinates of point R is (1,6)
Explanation:
Since we have given that
The points P(-3,6) and Q(1,4) are two vertices of right triangle PQR.
The hypotenuse of the triangle is PQ.
Construct a rectangle PQRR' with diagonal PQ ,
Now, we'll determine the points of R and R',
With the help of P(-3,6) and Q(1,4)
R will be (1,6) as x-coordinate of R and Q will be same and y-coordinate of R will be while determining the coordinates of R.
Similarly,
With the help of P(-3,6) and Q(1,4)
R' will be (-3,4) as x-coordinate of P and R' will be same and y-coordinate of Q and R' will be same while determining the coordinates of R'.
But as we given that point R lies in quadrant 1 so, we will take the value of R which (1,6).
Hence, coordinates of point R is (1,6)
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Using it's concept, it is found that the domain for the expressions is, respectively, given by:
It is the <u>set that contains all possible input values</u>.
In a fraction, the denominator cannot be zero, hence:
- The domain of the first two expressions is of
.
- The domain of the last expression is of
.
The third expression can be simplified, as:
(x + 5)/(x + 5) = 1.
The same is true for the fourth, as:
x²/x = 1.
Neither has any restriction, hence their domain is all real numbers, represented by .
More can be learned about the domain of a function at brainly.com/question/25897115