Answer:
<h2>
y + 2 = 3(x + 1)</h2>
Step-by-step explanation:
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = 3
x₁ = -1
y₁ = -2
Therefore the equation:
y - (-2) = 3(x - (-1))
<h3>
y + 2 = 3(x + 1)</h3>
Hello!
We don't need to find the exact perimeter of the fencing, just an estimate.
We will round 12 ft 3 in to 12 ft, because it is closer to 12 ft than 13 ft.
We will also round 8 ft 11 in to 9 ft because there are 12 inches in a foot, which makes 9 ft closer.
The formula for perimeter of a rectangle is:
P = 2l × 2w
The length is about 12 feet and the width is about 9 feet.
Substitute the length and width:
P = 2(12) + 2(9)
Solve:
P = 24 + 18
P = 42
Jose will need about 42 feet of fencing.
Answer:
Area = 370 m²
Cost to paint = £105
Step-by-step explanation:
Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)
Area of a trapezoid =
where
and
are the parallel sides and h is the distance between these sides.
Area of trapezoid (1) = 
= 69 m²
Area of the rectangle (2) = Length × Width
= 12 × 15
= 180 m²
Area of the trapezoid (3) = 
= 121 m²
Now area of the wall = 69 + 180 + 121
= 370 m²
One tin covers the area = 25 m²
Number of tins required to paint the wall = 
= 
= 14.8
Therefore, number of tins to be purchased = 15
Cost to paint the complete wall = 15 × £7
= £105
Answer:
It's 37. B 38. B 39. C 40. A
Step-by-step explanation: