Answer: ![\bold{x=\dfrac{1\pm \sqrt5}{2}}](https://tex.z-dn.net/?f=%5Cbold%7Bx%3D%5Cdfrac%7B1%5Cpm%20%5Csqrt5%7D%7B2%7D%7D)
both zeros are irrational numbers
<u>Step-by-step explanation:</u>
Note: The question would have made more sense if if it was 2/x = x - 1 but I will answer it as written.
![\dfrac{1}{x}=x-1\qquad \text{Restriction: }x\neq 0\\\\\\\text{Cross multiply, simplify, and set equal to zero:}\\1=x(x-1)\\\\1=x^2-x\\\\0=x^2-x-1\\\\\\\text{This is not factorable so you will need to use Quadratic Formula:}\\\\x=\dfrac{-(-1)\pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}\\\\\\x=\dfrac{1\pm \sqrt5}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bx%7D%3Dx-1%5Cqquad%20%5Ctext%7BRestriction%3A%20%7Dx%5Cneq%200%5C%5C%5C%5C%5C%5C%5Ctext%7BCross%20multiply%2C%20simplify%2C%20and%20set%20equal%20to%20zero%3A%7D%5C%5C1%3Dx%28x-1%29%5C%5C%5C%5C1%3Dx%5E2-x%5C%5C%5C%5C0%3Dx%5E2-x-1%5C%5C%5C%5C%5C%5C%5Ctext%7BThis%20is%20not%20factorable%20so%20you%20will%20need%20to%20use%20Quadratic%20Formula%3A%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B-%28-1%29%5Cpm%20%5Csqrt%7B%28-1%29%5E2-4%281%29%28-1%29%7D%7D%7B2%281%29%7D%5C%5C%5C%5C%5C%5Cx%3D%5Cdfrac%7B1%5Cpm%20%5Csqrt5%7D%7B2%7D)
Answer:
The angle is 35
Step-by-step explanation:
The angles are vertical angles, so they are equal
3x-4 = 2x+9
Subtract 2x from each side
3x-2x-4 = 2x+9-2x
x-4 = 9
Add 4 to each side
x-4+4 = 9+4
x=13
But it asked for the measure of the angle
2x+9
2(13)+9
26+9
35
Answer:
0.29 π(52.5°)
Step-by-step explanation: here is the explanation
Start at (0,2) and draw a dot. Then, go up 2 units, and right 5 times. Draw a dot. Now connect the 2 dots and extend the line.
Now, it's graphed! :)
Answer:
9.5 inches
Step-by-step explanation:
Volume = length × width × height
297.16 = 4.6 × 6.8 × height
height = 9.5