I believe it would be sixteen people. Hope it helps! :)
Answer:
x = 18
Step-by-step explanation:
The "Angle Bisector" Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.
So, 20/8 = (4x + 3)/30
8(4x + 3) = 20(30)
32x + 24 = 600
32x = 576
x = 18
Answer:
Step-by-step explanation:
Combine like terms in 2x^2-5x+1=x+4: 2x^2 -6x - 3 = 0
The coefficients of this quadratic are {2, -6, -3}. Apply the quadratic formula. Start by finding the discriminant, b^2 - 4ac:
b^2 - 4ac = (-6)^2 - 4(2)(-3) = 36 + 24 = 60
Because the discriminant (60) is positive, we know that this quadratic has two real, unequal roots:
-(-6) ± √60 6 ± (√4)(√15)
x = -------------------- = ----------------------
2(2) 4
or:
6 ± 2√15 3 ± √15
x = ----------------- = ----------------
4 2
Yes, you're right! The first step is rewriting the equation as
Subtract from both sides:
Use the property to rewrite the equation as
Divide both sides by
Alternative strategy:
Consider both sides as exponents of e:
Use to write
Divide both sides by a:
Consider the logarithm base b of both sides:
The two numbers are the same: you can check it using the rule for changing the base of logarithms