Property of Addition and division.
Answer:
(1, 5 )
Step-by-step explanation:
Given
x² - 2x + y - 4 = 0 ( add 4 to both sides )
x² - 2x + y = 4
Complete the square on x² - 2x
add ( half the coefficient of the x term )² to both sides
x² + 2(- 1)x + 1 + y = 4 + 1, that is
(x - 1)² + y = 5
Subtract (x - 1)² from both sides
y = - (x - 1)² + 5
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - (x - 1)² + 5 ← is in vertex form
with vertex = (1, 5 )
Answer:
The equation is y=2x + 2
Step-by-step explanation:
4x+2y=7
2y=-4x+7
y=-2x+7/2
Hence, the gradient =-2
Note that: parallel lines share the same gradient
sub m(gradient)=-2 and the point (1,0) into y=mx+c
0=-2(1)+c
c=2
Therefore, the equation in the form of y=mx+c is y=-2x+2
if your trying to find the slope then the slope is 3
Answer:
7. x = 4
8. x = 10
Step-by-step explanation:
7. The angles are equal to each other so you can do
40 = 12x - 8
48 = 12x
4 = x
8. The angles add up to be 180 degrees so you can combine them and set them equal to 180
6x + 12x = 180
18x = 180
x = 10
