Answer:
x= -2-√11. or. x= -2 + √11
Step-by-step explanation:
solving quadratic equation by completing the square
x^2+4x-7=0
x^2+4x=7
x^2+4x + (4/2)^2=7 + (4/2)^2 ( adding (1/2 coefficient of x)^2 on both sides
x^2+4x + 4=7 + 4
x^2+4x + 4=11. factorize(x^2+4x + 4) into (x + 2)^2
(x + 2)^2=11
√(x + 2)^2= + - √11
x + 2 = + - √11
there are two different solution .
x + 2 = -√11. or x + 2 = + √11.
x= -2-√11. or. x= -2 + √11.
As humans we live with math on a daily bases. If that is cooking, traveling (Ex. calculating the miles and how much gas it will use), for heath (calculating calories), etc.
To solve this, simply substiture 8 in for x, and solve for y.
11(8) -6y = -1
Multiply 11 by 8
88 - 6y = -1
Subtract 88 from each side of the equation.
-6y = -89
Lastly divide each side of the equation by -6
y = 89/6 is your answer.
Hope this helps!
Answer:
180 miles
Step-by-step explanation:
Going North
<em><u>Formula</u></em>
d = r * t
<em><u>Givens</u></em>
r = 60 mph
t = 5.2 hours
d = ?
<em><u>Solution</u></em>
d = 5.2 * 60 = 312 miles north
Going South
<em><u>Givens</u></em>
r = 55 mph
t = 2.4 hours
<em><u>Solution</u></em>
d = r * t
d = 55 * 2.4
d = 132
Distance from home
Formula: Distance from home = Distance North - Distance South
Distance North = 312 - 132 = 180 miles
Answer:
3.2
Step-by-step explanation:
