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:
angle PSQ=25°
Step-by-step explanation:
angle RQS=angle PSQ.......... alternate angle
so angle PSQ=25°
Function notation is a way of writing a function. f(x) is written instead of using y. For example, f(x) = 6x + 2
Have a good day!
Answer:
C
Step-by-step explanation:
9x² - 4
can be factored as a difference of squares , that is
(U + V)(U - V)
9x² - 4 = (3x)² - (2y³)²
with U = 2x and V = 2y³
Answer:
Step-by-step explanation:
Given
Required
Determine the coordinates of C
To do this, we make use of:
Where:
----
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So: