Answer:
x=-1/2
Step-by-step explanation:
using almighty formula
x= -b+or-√b²-4ac/2a
x=-1+ or -√-1+4(1)(1/4) divided by 2(1)
x=-1+ or -√-1+1 divided 2
x=-1+0 divided by 2
x=-1/2
Answer:
Yes, at positive x-coordinates.
Step-by-step explanation:
Finding the equation for g(x):
Slope = (3-6)/ (1-0) = -3
y-intercept = y value when x = 0 = 6.
So g(x) = -3x + 6
Solve them simultaneously:
x^2 + y^2 = 16
g(x) : y = -3x + 6
Substitute for y in the first equation:
x^2 + (-3x + 6)^2 = 16
x^2 + ( 9x^2 - 36x + 36) = 16
10x^2 - 36x + 20 = 0
5x^2 - 18x + 10 = 0
x = [-(-18) +/- sqrt ( (-18)^2 - 4 * -18 * 10)] / (5*2)
= ( 18 +/- sqrt 124 )/ 10
= (1.8) +/- 1,114
These 2 roots are both positive.
Answer:
x=![\frac{y2 }{9}](https://tex.z-dn.net/?f=%5Cfrac%7By2%20%7D%7B9%7D)
Step-by-step explanation:
2nd step: ![3\sqrt{x}=y](https://tex.z-dn.net/?f=3%5Csqrt%7Bx%7D%3Dy)
third step: ![\frac{3\sqrt{x} }{3} = \frac{y}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Csqrt%7Bx%7D%20%7D%7B3%7D%20%3D%20%5Cfrac%7By%7D%7B3%7D)
fourth step: ![\sqrt{x} =\frac{y}{3}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%3D%5Cfrac%7By%7D%7B3%7D)
answer: x=![\frac{y2 }{9}](https://tex.z-dn.net/?f=%5Cfrac%7By2%20%7D%7B9%7D)
Answer:
Step-by-step explanation:
(-1 -4)/(2 - 3) = -5/-1 = 5
y - 4 = 5(x - 3)
y - 4 = 5x - 15
y = 5x - 11