Answer:
28.8
Step-by-step explanation:
23+2x+3x+13=180 simplify the left side
5x+36=180 subtract 36 from both sides
5x=144 divide both sides by 5 to isolate the variable
x=28.8
Answer:
y = 
x + 3
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 )
y = x + 4 ← is in slope- intercept form
with slope m =
Parallel lines have equal slopes , then
y = x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = 2 + c ⇒ c = 5 - 2 = 3
y = x + 3 ← equation of parallel line
Answer:
C, D, J
Step-by-step explanation:
Points to the left of the y-axis have a negative x- value
Points to the right of the y-axis have a positive x- value
Points on the y-axis have an x- value of zero
C(- 4, 5), D(- 9, 9 ), J(- 9, 0) ← are the coordinates of the points
All have a negative x- value
It's a slope-intercept form where a slope = -1.5 and y-intercept = 3.
x - intercept: y = 0
Therefore we have the equation:
-1.5x + 3 = 0 |-3
-1.5x = -3 |:(-1.5)
x = 2
Answer: x-intercept = 2, y-intercept = 3
Answer:
27π cm²
Step-by-step explanation:
step 1
Find the area of the complete circle
The area of the circle is equal to
A=πr²
we have
r=9 cm
substitute
A=π(9)²=81π cm²
step 2
Remember that the area of complete circle subtends a central angle of 360°
so
using proportion
Find the area of a sector formed by a central angle that measures 120°
81π/360°=x/120°
x=120°*81π/360°
x=27π cm²
