Answer:
n = 12
Step-by-step explanation:
4/6 = 8/n
4n = 48
n = 12
Answer:
y = -
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m =
=
= - 
The line crosses the y- axis at (0, 2) ⇒ c = 2
y = -
x + 2 ← equation of line
The circumferince of the circle is 2πR ;
The area of the circle is π

;
Then, 2πR = 704 ;
R = 352 / π ;
π

= π × ( 352 / π )^2 = ( 352^2) / π = 123904 / π ≈ 39459.87 ≈ 39460 cm^2 ;
Answer:
x = 170/34 = 5
Step-by-step explanation:
The sum of angle 1 and angle 2 is 180 degrees. They form a straight line.
So, just add the two equations together, set them equal to 180 and solve for x.
12x+19 + 22x - 9 = 180
34x + 10 = 180
34x = 180 - 10 = 170
x = 170/34 = 10/2 = 5
Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
Notice that the line of f(x) is dashed. This means that the symbol of the inequality must be
or
.
Since the shaded region A is above the line, the symbol is 
Observe that its y-intercept is:

The line of g(x) is solid. This means that the symbol of the inequality must be
or
.
Since the shaded region B is below the line, the symbol is
.
Observe that its y-intercept is:
.
Based on this, we can conclude that the graph represents the following System of Inequalities:
