Answer:
x = 8
Step-by-step explanation:
1. Group all x terms on the left side of the equation
1/3· x+4=-2/3·x+12
Add 2/3x to both sides:
1/3x+4+2/3·x=-2/3x+12+2/3·x
Group like terms:
1/3·x+2/3·x+4=-2/3·x+12+2/3·x
Combine the fractions:
1+2/3·x+4=-2/3·x+12+2/3·x
Combine the numerators:
3/3·x+4=-2/3·x+12+2/3·x
Find the greatest common factor of the numerator and denominator:
1·3/1·3·x+4=-2/3·x+12+2/3·x
Factor out and cancel the greatest common factor:
1x+4=-2/3·x+12+2/3·x
Simplify the left side:
x+4=-2/3·x+12+2/3·x
Group like terms:
x+4=-2/3·x+2/3·x+12
Combine the fractions:
x+4=-2+2/3·x+12
Combine the numerators:
x+4=0/3·x+12
Reduce the zero numerator:
x+4=0x+12
Simplify the arithmetic:
x+4=12
2. Group all constants on the right side of the equation
Subtract 4 from both sides:
x+4-4=12-4
Simplify the arithmetic:
x=12-4
Simplify the arithmetic:
x=8
Answer:
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Step-by-step explanation:
woman
Answer:
"The quantity in Column B is greater"
Step-by-step explanation:
To solve for AP, we can use the secant tangent theorem. It tells us that the product of secant segment with the external segment is equal to the tangent squared. From the figure we can write (Tangent is PA Secant is ZP):
13 * 4 = AP ^ 2
52 = AP^2
AP = SQRT(52)
AP = 7.21
When two chords intersect inside a circle, they create 4 segments. The chord theorem tells us that the individual chord segment products' are equal. Thus, from the diagram we can write (Chord AY and Chord ZQ):
AX * 2 = 6 * 3
AX * 2 = 18
AX = 18/2 = 9
AX = 9
Obviously, AX is greater than AP. First answer choice is correct.
Answer:
= - 14 - 4√5/ 29
Step-by-step explanation:
(√3-√5)(√5+√3)/7-2√5
= √15 + 3 - 5 - √15/7 - 2√5
= - 2/7 - 2√5
= - 2/7 - 2√5 x 7 + 2√5/7 + 2√5
= - 14 - 4√5/49 + 14√5 - 14√5 - 20
= - 14 - 4√5/ 29