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:
The given expression is
To find the equivalent expression of the given one, we just have to factor.
In this case, the only thing we can do to rewrite is to extract the common greatest factor, which is 6
Therefore, the equivalent expression is
Answer: 0.6
Step-by-step explanation: First, you want so seperate the equations in parenthesis to make solving the equation easier.
(-2/3x-9/8x )-(4/5x)-(1)
So (-2/3x-9/8x) equals -11/24x
And -11/24x-4/5x equals -151/120x
So -151/120x-1 ends up being 0.6.
Considering the area of a rectangle, it is found that the area of Bob's remaining plot of land is of 12.5 acres.
<h3>What is the area of a rectangle?</h3>
The area of a rectangle of length l and width w is given by the multiplication of these dimensions, that is:
A = lw.
In this problem, both the length and the width are divided in half, hence the proportion remaining is given by:
A = 0.5l x 0.5w = 0.25lw = 25% of the initial area.
Hence:
0.25 x 50 = 12.5.
The area of Bob's remaining plot of land is of 12.5 acres.
More can be learned about the area of a rectangle at brainly.com/question/10489198
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