Answer:
The answer to your question is: d = 0.85 units
Step-by-step explanation:
Data
Line equation: 1.2 x − 0.5 y + 1.1 = 0 A = 1.2; B = -0.5; C = 1.1
Point (0, 0) x = 0; y = 0
Formula
d = | Ax + By + C | / √(A² + B²)
Process
d = |(1.2)(0) + (-0.5)(0) + 1.1 | / √ (1.2)² + (0.5)²
d = | 1.1 | / √ 1.44 + 0.25
d = 1.1 / √ 1.69
d = 1.1 / 1.3
d = 0.85 units
-(12x - 6) = 12x + 6
First, distribute the negative sign on the left side.
It is the same as multiplying the quantity in parentheses by -1.
-1(12x - 6) = 12x + 6
-12x + 6 = 12x + 6
Now, subtract 12x from both sides.
-24x + 6 = 6
Subtract 6 from both sides.
-24x = 0
Divide both sides by -24.
x = 0/(-24)
x = 0
Answer: x = 0
Answer:
Step-by-step explanation:
2x-3y=6
-3y = -2x + 6
y = -2x/-3 + 6/ -3
y = 2x/3 - 2 {y =mx + c}
slope = 2/3
The required line's slope is also 2/3 as it is parallel to this line
Point(9, -3)
y -y1 = m(x-x1)
y - (-3) = 2/3 (x - 9)
y + 3 = 2x/3 - 2*9/3
y + 3 =2x/3 - 2*3
y + 3 = 2x/3 -6
y = 2x/3 - 6 - 3
y = 2x/3 - 9