To complete the square, how do you find the value that must be added to the expression to make a perfect square trinomial? What is the value?

x2 +
2
5
x + ?
A) square
2
5
and add to both sides;
4
25
B) take half of
2
5
and add to both sides;
1
5
C) square half of
2
5
and add to both sides;
1
25
D) take half of
2
5
and add the opposite to both sides;
−1
5

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5