(4,-3) i took the test i'm 100% sure
i hope i helped ;)
Answer:
4
Step-by-step explanation:
H (height the 2x4 contact the fence)
sin 30° = H / 8
1 /2 = H / 8
H = 1/2 * 8 = 4
A(b-c)
First substitute values
-8(12+4)=
Next, solve using ordering of PEMDAS
-8 (12+4)=
-8 (16)=12
Answer:
0
Step-by-step explanation:
Look at the graph where x=6 (As a point this would be 6,0). This equation is known as a function. Your y value is the output when evaluating a certain value of x in the equation.
Answers
1) 1
2) 11
3) 4
4) D) Yes, the constant of variation is 3
Explanation
Q1
The slope of a line is given by
Slope = (change in y)/(change in x)
= (0 - -2)/(-4 - -6)
= 2/2
= 1
Q2
Slope = Δy/Δx
= (8 - -3)/(2 - 1)
= 11/1
= 11
Q3
Y varies directly as X. This is written as,
Y ∞ X
Put and equal sign then introduce the constant of proportionality, K.
Y = KX
K = Y/X
K = 6/18 = 1/3
∴ Y = (1/3)X
Y = (1/3) × 12
Y = 4
Q4
32Y = 96X
Dividing both sides by 32,
Y = 96/32 X
Y = 3X
3 been the constant, Y varies directly as X.
So, the equation 32y = 96x is a direct variation.
Constant of variation = 3