Answer:
Step-by-step explanation:
To finish the table lets see what the differences are between the input (x) and the output (Y)
when input is 32 the output is 20, 32-20 = 12
when input is 14 the output is 2, 14-2 = 12
since the top 2 have the same result, the output is the input minus 12
now that we know that we can finish the table:
when the input is ? the output is -6, so the input = -6 +12 = 6
check: 6-12 = -6 true
when the input is -10, we subtract 12 to get -22 for the output
so the missing input is 6 and the missing output is -22
the function rule would be Y=x-12
Answer:
x = 3
Step-by-step explanation:
2x + 8 = 14
2x = 6
x = 3
Answer:
7 square units
Step-by-step explanation:
As with many geometry problems, there are several ways you can work this.
Label the lower left and lower right vertices of the rectangle points W and E, respectively. You can subtract the areas of triangles WSR and EQR from the area of trapezoid WSQE to find the area of triangle QRS.
The applicable formulas are ...
area of a trapezoid: A = (1/2)(b1 +b2)h
area of a triangle: A = (1/2)bh
So, our areas are ...
AQRS = AWSQE - AWSR - AEQR
= (1/2)(WS +EQ)WE -(1/2)(WS)(WR) -(1/2)(EQ)(ER)
Factoring out 1/2, we have ...
= (1/2)((2+5)·4 -2·2 -5·2)
= (1/2)(28 -4 -10) = 7 . . . . square units
Answer:
B
Step-by-step explanation:
The line is solid, so eliminate A and D.
Also, the line is shaded below, so this eliminates C.
