Answer:
The translation is left 4 units
Step-by-step explanation:
we know that
Is a vertical parabola open upward with vertex at (15,3)
Is a vertical parabola open upward with vertex at (11,3)
so
The rule of the translation of (15,3) ----> (11,3) is equal to
(x,y) ----> (x-4,y)
That means ----> The translation is left 4 units
Answer:
left 4 units
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
To solve the problem, you have to leave the x alone,
To do so, you have to add 84 on each side
12x = 4x + 96
Then, subtract 4x on each side,
8x = 96
Then divide each side by 8, so
x = 12
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Answer:
x = 12
Step-by-step explanation:
12x - 84 = 4x + 12
We want to move x to one side and all other values to the other side of the equal sign
Add 84 to both sides of the equation
12x - 84 + 84 = 4x + 12 + 84
Simplify
12x = 4x + 96
Subtract 4x from both sides
12x - 4x = 4x - 4x + 96
Simplify
8x = 96
Divide both sides by 8
8x /8 = 96/8
Simplify
x = 12
Answer:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope of the line and "b" is the y-intercept.
We know that the slope of this line is:
And the y-intercept is:
Since the line intersects the x-axis when , we can substitute values into :
The final step is to solve for "x", then:
The x-intercept of the line is 2.
We must figure out the value of x when the y-coordinate is 0, in order to identify the x-intercept of a line.
We can express the equation of the line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept,
Given that the slope of the line is -3/2 and the y-intercept is 3.
Substituting the given values into the equation, we have y = (-3/2)x + 3.
To find the x-intercept, we set y = 0 and solve for x:
0 = (-3/2)x + 3
Subtracting 3 from both sides:
(-3/2)x = -3
To isolate x, we multiply both sides by -2/3:
x = (-3)(-2/3)
x = 2
Therefore, the x-intercept of the line is 2.
Learn more about x-intercept click;
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