Solve 12x = 4(x + 5)
1 answer:
12x=4(x+5) (multiplying 4 by each argument in the parenhesis)
12x=4x+20 /-4x both sides
8x=20 /:8 divide both sides by 8
15x-3(3x+4)=6 (-3 times each argument in the parenthesis)
15x-9x-12=6
6x-12=6 /+12 both sides
6x=18 /:6 divide both sides by 6
x=3
3x-5x+10=36
-2x+10=36 /-10 both sides
-2x=26 /:(-2) divide both sides by -2
x=-13
2(x+3)=x+10
2x+6=x+10 /-x
x+6=10 /-6
x=4
12x=4x+20 /-4x both sides
8x=20 /:8 divide both sides by 8
15x-3(3x+4)=6 (-3 times each argument in the parenthesis)
15x-9x-12=6
6x-12=6 /+12 both sides
6x=18 /:6 divide both sides by 6
x=3
3x-5x+10=36
-2x+10=36 /-10 both sides
-2x=26 /:(-2) divide both sides by -2
x=-13
2(x+3)=x+10
2x+6=x+10 /-x
x+6=10 /-6
x=4
You might be interested in
The complete question in the attached figure
we know that
If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord (Segments of Chords Theorem)
therefore
AB*BC=DB*BE
AB=x
BC=x
DB=62
BE=250-62---------> BE=188 ft
so
x*x=62*188----------> x²=11656--------> x=√11656--------> x=107.96 ft
the answer is x=107.96 ft
we know that
If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord (Segments of Chords Theorem)
therefore
AB*BC=DB*BE
AB=x
BC=x
DB=62
BE=250-62---------> BE=188 ft
so
x*x=62*188----------> x²=11656--------> x=√11656--------> x=107.96 ft
the answer is x=107.96 ft
The linear function which represents the line given by the point-slope equation is (B) .
- The word linear function in mathematics refers to two distinct but related concepts.
- A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
To find the linear function which represents the line given by the point-slope equation:
Given:
Distribute the right side:
Adds 8 on both sides:
Convert to function notation:
Therefore, the linear function which represents the line given by the point-slope equation is (B) .
Know more about linear functions here:
#SPJ4
The complete question is given below:
Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals start fraction one-half end fraction left-parenthesis x minus 4 right-parenthesis. (x – 4)?
A) F(x) = f(x) equals StartFraction one-half EndFraction x plus 4.X + 4
B) f(x) = f(x) equals StartFraction one-half EndFraction x plus 6.
C) X + 6 f(x) = f(x) equals StartFraction one-half EndFraction x minus 10.X –10
D) f(x) = f(x) equals StartFraction one-half EndFraction x minus 12.X – 12