Find the point on the line y=2x that is closest to the point (4, 5) .
1 answer:
You might be interested in
Answer:
Square length of 5cm
Step-by-step explanation:
Given
Required
Determine the possible measure of square from the rectangular sheet
To do this, we simply calculate the greatest common factor (GCF) of the dimension of the rectangle.
The common factor is: 5
<em>Hence, the side length of the square is 5cm</em>
9514 1404 393
Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
There is a mathematical formula which relates these quantities, given by:
Using this, we have:
<span>
</span>
Using this, we have:
<span>