Answer:
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
First, distribute 3 into the parenthesis:
3(4 - 2x) = -2x
12 - 6x = -2x
Next, combine your x variables by adding +6x to both side:
12 - 6x = -2x (-6x and +6x cancel out)
+6x +6x
12 = 4x (divide 12 by 4 to get x by itself)
/4 /4
x = 3
The value of
such that the line
is tangent to the parabola
is
.
If
is a line <em>tangent</em> to the parabola
, then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:
(1)
Then, we have the following system of equations:
(1)
(2)
(3)
Whose solution is shown below:
By (3):

(3) in (2):
(4)
(4) in (1):



The value of
such that the line
is tangent to the parabola
is
.
We kindly invite to check this question on tangent lines: brainly.com/question/13424370
Answer: 
Step-by-step explanation:
