The values of x are -22 and -2 and there are not extraneous solutions
<h3>How to solve the equation?</h3>
The equation is given as:
2|x + 7|= x - 8
Expand the absolute bracket
|2x + 14|= x - 8
Remove the absolute bracket
2x + 14 = x - 8 and 2x + 14 = -x + 8
Evaluate the like terms
x = -22 and 3x = -6
This gives
x = -22 and x = -2
Hence, the values of x are -22 and -2 and there are not extraneous solutions
Read more about absolute value expressions at:
brainly.com/question/24368848
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Answer:
Step-by-step explanation:
a.
![[\because \int \dfrac{dx}{x}=\log |x|+C]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cint%20%5Cdfrac%7Bdx%7D%7Bx%7D%3D%5Clog%20%7Cx%7C%2BC%5D)
b.
![[\because \int x^n dx=\dfrac{x^{n+1}}{n+1}+C]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cint%20x%5En%20dx%3D%5Cdfrac%7Bx%5E%7Bn%2B1%7D%7D%7Bn%2B1%7D%2BC%5D)
c.
![[\because \dfrac{adx}{x\sqrt{x^2-a^2}}=\csc^{-1}(\dfrac{x}{a})+C]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Badx%7D%7Bx%5Csqrt%7Bx%5E2-a%5E2%7D%7D%3D%5Ccsc%5E%7B-1%7D%28%5Cdfrac%7Bx%7D%7Ba%7D%29%2BC%5D)
The area of the triangle is 49 in2, so she can create only 2 triangles.
204204 - 16 = 204188
204188 / 4 = 51,047
width = 51,047
length = 51,055
