Answer:
They are adjacent
Step-by-step explanation:
To write the given quadratic equation to its vertex form, we first form a perfect square.
x² - 2x + 5 = 0
Transpose the constant to other side of the equation,
x² - 2x = -5
Complete the square in the left side of the equation,
x² - 2x + (-2/1(2))² = -5 + (-2/1(2))²
Performed the operation,
x² - 2x + 1 = -5 + 1
Factor the left side of the equation,
(x - 1)² = -4
Thus, the vertex form of the equation is,
<em> (x-1)² + 4 = 0</em>
Answer:
Step-by-step explanation:
y = 3x + 4
Plugin x = 3 in the equation,
y = 3*3 + 4
= 9 + 4
y = 13
Plugin x = 4 in equation,
y = 3*4 + 4
= 12 + 4
y = 16
Plugin x = 5 in the equation,
y = 3*5 + 4
= 15 + 4
y = 19
2) y =x - 7
Plugin x = 10 in the equation
y = 10 - 7
y = 3
Plugin x = 15 in the equation
y = 15 - 7
y = 8
Plugin x = 20 in the equation
y = 20 - 7
y = 13
Point of Y intercept is (0,4)
Y1-Y2=m(X1-X2)
Plug in x,y into X2, Y2 m=slope
y-4=2(x-0)
y-4=2x
y=2x+4
Table
Plug in for x and y
x. y
0. 4
1. 6
2. 8
