Answer:
x = ![\frac{9}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B4%7D)
Step-by-step explanation:
Given
-
=
← factor denominator
-
= ![\frac{4}{x(x+1)}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7Bx%28x%2B1%29%7D)
[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]
Multiply through by x(x + 1)
4x² - 5(x + 1) = 4
4x² - 5x - 4 = 4 ( subtract 4 from both sides )
4x² - 5x - 9 = 0 ← in standard form
(x + 1)(4x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
4x - 9 = 0 ⇒ 4x = 9 ⇒ x = ![\frac{9}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B4%7D)
However, x ≠ - 1 for reason given above, then
solution is x = ![\frac{9}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B4%7D)
The equation of the parent square root function to represent the equation of the graphed function will be, y=√x-2
According to the statement
we have to show the square root function as a equation in the graphical representation.
So,
we know that the definition of a
Graph a diagram showing the relation between variable quantities, typically of two variables and it also show the relation between more than two variables.
Now, we know that the definition of Equation is a mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
And the equation obtained from the graph is a y=√x-2 by a some calculations in the graph.
So, The equation of the parent square root function to represent the equation of the graphed function will be, y=√x-2
Learn more about Graph here brainly.com/question/4025726
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For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
By definition, if two lines are parallel then their slopes are equal.
We have the following line:
![-x + 3y = 6\\3y = x + 6\\y = \frac {1} {3} x + \frac {6} {3}\\y = \frac {1} {3} x + 2](https://tex.z-dn.net/?f=-x%20%2B%203y%20%3D%206%5C%5C3y%20%3D%20x%20%2B%206%5C%5Cy%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20x%20%2B%20%5Cfrac%20%7B6%7D%20%7B3%7D%5C%5Cy%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20x%20%2B%202)
Thus, the slope is:![m_ {1} = \frac {1} {3}](https://tex.z-dn.net/?f=m_%20%7B1%7D%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D)
Then ![m_ {2} = \frac {1} {3}](https://tex.z-dn.net/?f=m_%20%7B2%7D%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D)
So, the line is of the form:
![y = \frac {1} {3} x + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20x%20%2B%20b)
We substitute the point
and find b:
![5 = \frac {1} {3} (3) + b\\5 = b](https://tex.z-dn.net/?f=5%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20%283%29%20%2B%20b%5C%5C5%20%3D%20b)
Thus, the equation is:
![y = \frac {1} {3} x + 5](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20x%20%2B%205)
Answer:
![y = \frac {1} {3} x + 5](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20x%20%2B%205)
Answer:
≈14.6014705087
Step-by-step explanation:
The square root of 185 is about 14.
Angle to the top of the building or base of the tower = 36 degrees
Angle to the top of the radio tower on the building = 46 degrees
Distance from the base at which the surveyor is standing = 67 meters
Let us assume the distance of the base of the tower from the surveyor = x1
Let us assume the distance of the top of the tower from the surveyor = x2
Then
tan(36) = x1/67
x1 = 67 tan(36)
and
tan(46) - x2/67
x2 = 67 tan(46)
Now
x2 - x1 = 67 tan(46) - 67 tan(36)
= 20.702
= 20.7 m
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the second option or option "b".