Answer:
x = 14/3 + sqrt(217)/3 or x = 14/3 - sqrt(217)/3
Step-by-step explanation:
Solve for x:
x + 4 + 1/x = (10 x)/7
Bring x + 4 + 1/x together using the common denominator x:
(x^2 + 4 x + 1)/x = (10 x)/7
Cross multiply:
7 (x^2 + 4 x + 1) = 10 x^2
Expand out terms of the left hand side:
7 x^2 + 28 x + 7 = 10 x^2
Subtract 10 x^2 from both sides:
-3 x^2 + 28 x + 7 = 0
Divide both sides by -3:
x^2 - (28 x)/3 - 7/3 = 0
Add 7/3 to both sides:
x^2 - (28 x)/3 = 7/3
Add 196/9 to both sides:
x^2 - (28 x)/3 + 196/9 = 217/9
Write the left hand side as a square:
(x - 14/3)^2 = 217/9
Take the square root of both sides:
x - 14/3 = sqrt(217)/3 or x - 14/3 = -sqrt(217)/3
Add 14/3 to both sides:
x = 14/3 + sqrt(217)/3 or x - 14/3 = -sqrt(217)/3
Add 14/3 to both sides:
Answer: x = 14/3 + sqrt(217)/3 or x = 14/3 - sqrt(217)/3
Answer:
<h2>3x + y = b</h2>
<em>b - </em><em>any real number</em>
Step-by-step explanation:
Parallel lines have the same slope.
We have the equation of a line in the standard form <em>Ax + By = C</em>.
Convert to the slope-intercept form <em>y = mx + b</em>
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
<em />
<em>subtract 9x from both sides</em>
<em>divide both sides by 3</em>
Therefore we have the slope <em>m = -3</em>.
Put it to the equation of a line:
<em>add 3 to both sides</em>
Answer:
Step-by-step explanation:
For every hour said student would've ran 3.5 km/hr
<h3>7/2</h3><h2>=3.5 kilometers per hour or 3 1/2 kilometers per hour</h2>
That’s cool yay sus sus sus sus s sjsjs ss
1-41
2-12
3-29
4- 25
5-32
6- 27 i think
7-25
8-38
9-13
