Miami = 10° C
Miami = Tallahassee + 12° C
Tallahassee = Miami – 12° C = 10° C – 12° C – = – 2° C
Answer:
After solving
we get ![\mathbf{x=0.645 \ or \ x = -0.490}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%3D0.645%20%5C%20or%20%5C%20x%20%3D%20-0.490%7D)
Step-by-step explanation:
We need to solve the equation: ![(45x-7)4x=57](https://tex.z-dn.net/?f=%2845x-7%294x%3D57)
Solving:
![(45x-7)4x=57](https://tex.z-dn.net/?f=%2845x-7%294x%3D57)
Multiply 4x with terms inside the bracket
![180x^2-28x=57](https://tex.z-dn.net/?f=180x%5E2-28x%3D57)
![180x^2-28x-57=0](https://tex.z-dn.net/?f=180x%5E2-28x-57%3D0)
We need to solve above equation to find value of x
Using quadratic formula for finding value of x: ![x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
We have a=180, b=-28 and c=-57
![x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-28)\pm\sqrt{(-28)^2-4(180)(-57)}}{2(180)}\\x=\frac{28\pm\sqrt{784+41040}}{360}\\x=\frac{28\pm\sqrt{41824}}{360}\\x=\frac{28\pm204.51}{360}\\x=\frac{28+204.51}{360} \ or \ x=\frac{28-204.51}{360}\\x=0.645 \ or \ x = -0.490](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%5C%5Cx%3D%5Cfrac%7B-%28-28%29%5Cpm%5Csqrt%7B%28-28%29%5E2-4%28180%29%28-57%29%7D%7D%7B2%28180%29%7D%5C%5Cx%3D%5Cfrac%7B28%5Cpm%5Csqrt%7B784%2B41040%7D%7D%7B360%7D%5C%5Cx%3D%5Cfrac%7B28%5Cpm%5Csqrt%7B41824%7D%7D%7B360%7D%5C%5Cx%3D%5Cfrac%7B28%5Cpm204.51%7D%7B360%7D%5C%5Cx%3D%5Cfrac%7B28%2B204.51%7D%7B360%7D%20%5C%20or%20%5C%20x%3D%5Cfrac%7B28-204.51%7D%7B360%7D%5C%5Cx%3D0.645%20%5C%20or%20%5C%20x%20%3D%20-0.490)
Values of x are ![\mathbf{x=0.645 \ or \ x = -0.490}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%3D0.645%20%5C%20or%20%5C%20x%20%3D%20-0.490%7D)
So, After solving
we get ![\mathbf{x=0.645 \ or \ x = -0.490}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%3D0.645%20%5C%20or%20%5C%20x%20%3D%20-0.490%7D)
Step-by-step explanation:
{9x+3y=-36
y=-3x-21
9x-9x-36=-36
y=-3x-21
x=0
y=-21
Answer:
238 pages
Step-by-step explanation:
So you can set up a proportion for this one:
714pages/3minute=x pages/1minute
Solve for X by dividing 714 by 3 you get 238pages
First you have to find the distance that the gondola is walking. This will be your hypotenuse. To find that you should use the formula for sin: sin(angle) = opposite/hypotenuse.
After your find the distance the gondola is walking you can divide the distance you get by 130 (the distance the gondola walks in a minute) and you'll find your answer.
x/130 = answer<span />