Lets find 2 points, one obvious one is (0,0), another point is (12,4)
y = mx + b
m is the slope
we got m = 1/3
We can eliminate answer choices C and D.
y = 1/3x + b
we need to solve for b
Plug in the point (0,0) and solve for b
0 = 1/3(0) + b
0 = 0 + b
b = 0
The equation of the line is y = 1/3x + 0, or
y = 1/3xYour answer is
B.
Answer:
Option C.
Step-by-step explanation:
The given equations are
We need isolate one of the variables, such that it appears by itself on one side of the equation.
Isolating a variable in two equations is easiest when one of them has a coefficient 1.
In equation 1, coefficient of B is 1. So, we can easily isolate one of the variables.
The equation is
Subtract 3A from both sides.
Multiply both sides by -1.
Therefore, the correct option is C.
Number 52 does not belong because 52 is a prime number
Answer:
C. 54π + 20.25√3 cm²
Step-by-step explanation:
The shaded area can be split into two areas: a sector and an isosceles triangle.
Area of a sector is:
A = (θ/360°) πr²
where θ is the central angle and r is the radius.
Area of an isosceles triangle can be found with SAS formula:
A = ½ ab sin θ
where a and b are two sides of a triangle and θ is the angle between them.
In this case, r = a = b = 9 cm. The central angle of the sector is 240°, and the vertex angle of the triangle is 120°. Therefore, the total area is:
A = (240°/360°) π (9 cm)² + ½ (9 cm) (9 cm) sin 120°
A = 54π + 20.25√3 cm²
