Answer:
last option: y = (-2/3)x + 5
Step-by-step explanation:
slope-intercept equation: y = mx + b
where m is the slope and b is the y-intercept
if slope m = -2/3, then y = (-2/3)x + b
if point (3, 3) is on the line, substitute x=3 and y=3 into the equation and solve for b:
3 = (-2/3)3 + b
⇒ 3 = -2 + b
⇒ b = 5
Therefore, equation: y = (-2/3)x + 5
A: (-4,1), B(1,-3), C(0,2), D(5,0), E(-3,6) F(-4,-5), G(0,-4), H(2,4) I(-2,3), J(5,-2)
Quadrant 1: D, H
Quadrant 2: A, I, E
Quadrant 3: F
Quadrant 4: B, J
on the x axis: D
On the y axis: G, C
Answer:
dependent
Step-by-step explanation:
The given system is :
15x-18=3y
5x=y+6
Rewrite the equations in standard form to get:
15x-3y=18
5x-y=6
Multiply the bottom equation by 3.
15x-3y=18
15x-3y=18
Sub both equations:
0-0=0
0=0
We got an identity
The system is dependent because there are infinitely many solutions
Answer:
130
Step-by-step explanation:
? is an exterior angle of a triangle
An exterior angle is equal to the sum of the two opposite interior angles ( 35 and 95 in this case )
That being said the missing angle = 95 + 35
95 + 35 = 130
Hence, the answer is 130
Area of semicircle = 1/2π(6)² = 56.55 in² (nearest hundredth)
Answer: 56.55 in²