2(x + 3) = x - 4
distribute
2x + 6 = x - 4
either subtract 6 from both sides or add 4. i will be subtracting 6.
2x = x - 10
subtract x from both sides
x = -10
Answer:
<h2>3x + y = b</h2>
<em>b - </em><em>any real number</em>
Step-by-step explanation:
Parallel lines have the same slope.
We have the equation of a line in the standard form <em>Ax + By = C</em>.
Convert to the slope-intercept form <em>y = mx + b</em>
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
<em />
<em>subtract 9x from both sides</em>
<em>divide both sides by 3</em>
Therefore we have the slope <em>m = -3</em>.
Put it to the equation of a line:
<em>add 3 to both sides</em>
Answer:
The equation of the axis of symmetry for this parabola is x = 0.
Step-by-step explanation:
For parabola's, it's axis of symmetry always goes through the vertex of the parabola. In other words, the axis of symmetry is vertical line that goes through the x-coordinate of the vertex.
Now, the vertex is given as (0,3) which is at x = 0, y = 3.
Thus, the vertical line that goes through the x-coordinate of the vertex will be x = 0
Thus, the equation of the axis of symmetry for this parabola is x = 0.
Answer:
y = 3x -2
Step-by-step explanation:
General equation of a line in the slope intercept form is
y = mx + b ,
where m is the slope and b is the y-intercept ( where intercepts the y-axis)
y = 3x + b ,
because is given slope is m = 3
For point (x = -2, y = -8) we have
-8 = 3 (-2) + b
-8 = -6 + b
-8 + 6 = b
-2 = b
The equation of the line that passes through the point (-2,-8) and has a slope of 3 is
y = 3x -2
Answer:
The magnitude of a vector in Rn
(if you're using dot product as inner product) is given by the square-root of the sum of the square of each coordinate of the vector
Step-by-step explanation:
