That length is the distance between (-4, 5) and (3, 2), computed using the Pythagorean theorem as
.. √((5 -2)^2 +(-4-3)^2) = √(9+49)
.. = √58
.. ≈ 7.616
.. √((5 -2)^2 +(-4-3)^2) = √(9+49)
.. = √58
.. ≈ 7.616
If x% of four-digit numbers have a repeated digit (the repeated digits do not need to be adjacent), then what is x? Express your
1 answer:
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<u>Answer: </u>
The vertex of the function is (h,k) = (3 , -1)
<u>Solution: </u>
The vertex form of quadratic equation is generally given as,
Where h,k is the vertex of the parabola.
From question, given that .
we have to find the vertex of the function.
Let us first convert the given quadratic equation to vertex form (eqn 1)
By adding “9” on both sides of equation, we get
By using the identity ,the right hand side of above equation becomes,
Now,the equation is of the vertex form.
By comparing with
we get the values of (h,k)
a = 1; h = 3; k = -1
hence the vertex of the function is (h,k) = (3 , -1)