7x² = 9 + x Subtract x from both sides
7x² - x = 9 Subtract 9 from both sides
7x² - x - 9 = 0 Use the Quadratic Formula
a = 7 , b = -1 , c = -9
x =
![\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%20%5Cpm%20%20%5Csqrt%7Bb%5E2%20-%204ac%7D%20%7D%7B2a%7D%20)
Plug in the a, b, and c values
x =
![\frac{- (-1) \pm \sqrt{(-1)^2 - 4(7)(-9)} }{2(7)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-%20%28-1%29%20%5Cpm%20%20%5Csqrt%7B%28-1%29%5E2%20-%204%287%29%28-9%29%7D%20%7D%7B2%287%29%7D%20)
Cancel out the double negative
x =
![\frac{1 \pm \sqrt{(-1)^2 - 4(7)(-9)} }{2(7)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%20%5Cpm%20%20%5Csqrt%7B%28-1%29%5E2%20-%204%287%29%28-9%29%7D%20%7D%7B2%287%29%7D%20)
Square -1
x =
![\frac{1 \pm \sqrt{1 - 4(7)(-9)} }{2(7)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%20%5Cpm%20%20%5Csqrt%7B1%20-%204%287%29%28-9%29%7D%20%7D%7B2%287%29%7D%20)
Multiply 7 and -9
x =
![\frac{1 \pm \sqrt{1 - 4(-63} }{2(7)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%20%5Cpm%20%20%5Csqrt%7B1%20-%204%28-63%7D%20%7D%7B2%287%29%7D%20)
Multiply -4 and -63
x =
![\frac{1 \pm \sqrt{1 + 252} }{2(7)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%20%5Cpm%20%20%5Csqrt%7B1%20%2B%20252%7D%20%7D%7B2%287%29%7D%20)
Multiply 2 and 7
x =
![\frac{1 \pm \sqrt{1 + 252} }{14}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%20%5Cpm%20%20%5Csqrt%7B1%20%2B%20252%7D%20%7D%7B14%7D%20)
Add 1 and 252
x =
![\frac{1 \pm \sqrt{253} }{14}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%20%5Cpm%20%20%5Csqrt%7B253%7D%20%7D%7B14%7D%20)
Split up the
![\pm](https://tex.z-dn.net/?f=%5Cpm)
x =
![\left \{ {{ \frac{1 + \sqrt{253} }{14} } \atop { \frac{1 - \sqrt{253} }{14} }} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7B%20%5Cfrac%7B1%20%2B%20%20%5Csqrt%7B253%7D%20%7D%7B14%7D%20%7D%20%5Catop%20%7B%20%5Cfrac%7B1%20-%20%20%5Csqrt%7B253%7D%20%7D%7B14%7D%20%7D%7D%20%5Cright.%20)
The approximate square root of 253 is <span>15.905973.
</span>x ≈
![\left \{ { \frac{1 + 15.905973}{14} } \atop { \frac{1 - 15.905973}{14} }} \right](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%20%5Cfrac%7B1%20%2B%2015.905973%7D%7B14%7D%20%7D%20%5Catop%20%7B%20%5Cfrac%7B1%20-%2015.905973%7D%7B14%7D%20%7D%7D%20%5Cright%20)
Add and subtract
x ≈
![\left \{ {{ \frac{16.905973}{14} } \atop { \frac{14.905973}{14} }} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7B%20%5Cfrac%7B16.905973%7D%7B14%7D%20%7D%20%5Catop%20%7B%20%5Cfrac%7B14.905973%7D%7B14%7D%20%7D%7D%20%5Cright.%20)
Divide
x ≈
![\left \{ {{1.2075} \atop {1.0647}} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7B1.2075%7D%20%5Catop%20%7B1.0647%7D%7D%20%5Cright.%20)
Round to the nearest hundredth
x ≈
![\left \{ {{1.21} \atop {1.06}} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7B1.21%7D%20%5Catop%20%7B1.06%7D%7D%20%5Cright.%20)
<span>
</span>
Answer:
slope is 2/3
Step-by-step explanation:
y=mx + b where m is the slope
Answer:
49pi m^2
Step-by-step explanation:
Area of circle=pi r^2
D=2r=14
r=7
Area of circle =7^2pi=49pim^2
Answer:104 degrees
Step-by-step explanation: