Answer:
x=5
Step-by-step explanation:
We can use the Triangle Angel Bisector Theorem
AB 2x-1
----------= --------------
AC 3x
9 2x-1
----------= --------------
15 3x
Using cross products
3x*9 = 15*(2x-1)
Distribute
27x = 30x-15
Subtract 30x from each side
27x-30x = 30x-30x-15
-3x = -15
Divide by -3
-3x/-3 =-15/-3
x =5
Answer:
Step-by-step explanation:
<span>Simplifying
(7 + -2x)(11 + -2x)(x) = 0
Reorder the terms for easier multiplication:
x(7 + -2x)(11 + -2x) = 0
Multiply (7 + -2x) * (11 + -2x)
x(7(11 + -2x) + -2x * (11 + -2x)) = 0
x((11 * 7 + -2x * 7) + -2x * (11 + -2x)) = 0
x((77 + -14x) + -2x * (11 + -2x)) = 0
x(77 + -14x + (11 * -2x + -2x * -2x)) = 0
x(77 + -14x + (-22x + 4x2)) = 0
Combine like terms: -14x + -22x = -36x
x(77 + -36x + 4x2) = 0
(77 * x + -36x * x + 4x2 * x) = 0
(77x + -36x2 + 4x3) = 0
Solving
77x + -36x2 + 4x3 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), 'x'.
x(77 + -36x + 4x2) = 0
Factor a trinomial.
x((7 + -2x)(11 + -2x)) = 0
</span>
Answer:
9
Step-by-step explanation:
6.4(x)+2.8y=44.4
6.4(3)+2.8y=44.4
19.2+2.8y=44.4
2.8y=25.2
y=9