Answer:
x = -0.907, 2.57
Step-by-step explanation:
Quadratic Formula: ![x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%2B%2F-%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
Since we are given <em>a</em> = 3, <em>b</em> = -5, and <em>c</em> = -7 from our quadratic, we simply use the Quadratic Formula:
Step 1: Plug in variables
![x=\frac{-(-5)+/-\sqrt{(-5)^2-4(3)(-7)} }{2(3)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-5%29%2B%2F-%5Csqrt%7B%28-5%29%5E2-4%283%29%28-7%29%7D%20%7D%7B2%283%29%7D)
Step 2: Solve
![x=\frac{5+/-\sqrt{25+ 84} }{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%2B%2F-%5Csqrt%7B25%2B%2084%7D%20%7D%7B6%7D)
![x=\frac{5+/-\sqrt{109} }{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%2B%2F-%5Csqrt%7B109%7D%20%7D%7B6%7D)
Step 3: Evaluate for decimals
You should get x = -0.906718 and 2.57338 as your answers.
Answer:
(-8, 135°)
Step-by-step explanation:
(8, -45°) has magnitude 8 and direction -45°.
If we add 180° to the direction and change the sign of the magnitude, we'll have the same point.
(-8, -45° + 180°) = (-8, 135°)
4-0.5x=4-x
Add 0.5x for both side
4-0.5x+0.5x=4-x+0.5x
4=-0.5x+4
Subtract 4 for both side
4-4=-0.5x+4-4
0=-0.5x
Divide -0.5 for both side
0/-0.5=-0.5x/-0.5
0=x. As a result, x can not be negative in this problem. Hope it help!
In this example, y is equal to 8.
In order to find this, first note that the two x value expressions create a straight line. That means when we add them together they will equal 180. this will give us a value for x.
x + 10 + 10x - 61 = 180
11x - 51 = 180
11x = 231
x = 21
Now that we have the value of x, we can do the same for the straight line created by the x + 10 angle and the 18y + 5 angle.
x + 10 + 18y + 5 = 180
(21) + 10 + 18y + 5 = 180
36 + 18y = 180
18y = 144
y = 8