2x - 2y = 2
2x - 2 x 0 = 2
2x - 0 = 2
2x = 2
x = 1
2x - 2y = 2
2 x 0 - 2y = 2
y = - 1
Answer:
Question 16
(a) x < 1 : the values of x are smaller than than 1 (e.g. possible values are 0, -1, -2, etc) and since the circle is not shaded it means that 1 isn't a possible value of x
(b) x 
-2 : the circle is filled therefore -2 is included in the answer
Question 17
(a) unfilled dot above -2 and arrow pointing to the left
(b) shaded circle above 4 with and arrow pointing to the right →
Answer:
y= -2x-22.
Step-by-step explanation:
1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;
2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);
3) the required equation in slope-interception form is:
y+16= -2x-6; ⇒ y= -2x-22.
note, the provided solution is not the only and shortest way.
Answer:
40 ft²
Step-by-step explanation:
The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle
✔️Area of triangle 1:
Area = ½*bh
b = 6 - 3 = 3 ft
h = 11 - 7 = 4 ft
Area of triangle 1 = ½*3*4 = 6 ft²
✔️Area of triangle 2:
Area = ½*by
b = 2 ft
h = 3 ft
Area of triangle 2 = ½*2*3 = 3 ft
✔️Area of rectangle = L × W
L = 11 ft
W = 3 ft
Area of rectangle = 11 × 3 = 33 ft
✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²
