Answer:
is the correct answer.
Step-by-step explanation:
![\frac{3^8}{3^6}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\=3^{8-6}\\\\=3^2\\\\=9](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E8%7D%7B3%5E6%7D%5C%5C%5C%5C%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5Cfrac%7Bx%5Ea%7D%7Bx%5Eb%7D%3Dx%5E%7Ba-b%7D%5C%5C%5C%5C%3D3%5E%7B8-6%7D%5C%5C%5C%5C%3D3%5E2%5C%5C%5C%5C%3D9)
Best Regards!
Answer:
27 gallons is the capacity of the tank.
Step-by-step explanation:
Let the capacity of the tank be x gallons.
Initial tank was filled = ![\frac{1}{7}x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B7%7Dx%20)
After travelling tank was found to have = ![\frac{1}{9}x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B9%7Dx)
24 gallons of gasoline was added to fill the tank completely.
![x=+\frac{1}{9}x+24](https://tex.z-dn.net/?f=x%3D%2B%5Cfrac%7B1%7D%7B9%7Dx%2B24)
![x-\frac{1}{9}x=24](https://tex.z-dn.net/?f=x-%5Cfrac%7B1%7D%7B9%7Dx%3D24)
![\frac{9x-1x}{9}=24](https://tex.z-dn.net/?f=%5Cfrac%7B9x-1x%7D%7B9%7D%3D24)
![\frac{8x}{9}=24](https://tex.z-dn.net/?f=%5Cfrac%7B8x%7D%7B9%7D%3D24)
![x=\frac{24\times 9}{8}=27](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B24%5Ctimes%209%7D%7B8%7D%3D27)
27 gallons is the capacity of the tank.
The tangent meets the radius at a right angle.
We use (the converse of) the Pythagorean Theorem to check:
![26^2 + 17^2 = 965 \ne 30^2](https://tex.z-dn.net/?f=26%5E2%20%2B%2017%5E2%20%3D%20965%20%5Cne%2030%5E2)
Not a right triangle
Answer: FALSE
Answer:
The equation of the line would be y = -6x + 22
Step-by-step explanation:
When you have the slope and the intercept of a line, all you need to do to find the form of the line is use the base formula and plug in the two values.
y = mx + b
y = -6x + 22
Answer:
y = -7
Step-by-step explanation:
The line represents the y-coordinate, because it is a straight line over the x axis, indicating it cant be an x coordinate
Because it is 7 units below the x-axis, it is -7
y = -7
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-Chetan K