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)
You might be interested in
Solution
Given the quadratic equation
we need to find the zeros of the equation
To do that, we use the completing the square method
Step 1. Add 38 to both sides
Step 2: add the square of half of the coefficient of x to both sides
That is;
Step 3: Simplify the above expression;
Based on the figures above, the numbers of children that attended the park that day is 10,000.
<h3>What is the matrix equation about?</h3>
Fist we have to use the determinant to solve for c and as such:
=
= 100000/10
=10,000
Therefore, Based on the figures above, the numbers of children that attended the park that day is 10,000.
Learn more about matrix equation from
#SPJ1
