Answer: -6/11
-4x - 2(8x + 1) = -(-2x - 10) Distributive Property
-4x - 16x - 2 = 2x + 10 Combine like terms
-20x - 2 = 2x + 10 Subtract 2x from both sides
-22x - 2 = 10 Add 2 to both sides
-22x = 12 Divide by -22 for both sides
x = -6/11 Answer!
20x=53-13
20x=40
20x/20=40/20
x=2
Add the 2 equations to eliminate the 2y. We get
2x = 6
x = 3
Plug x = 3 into the first equation:-
3 + 2y = 7
2y = 7 - 3 = 4
y = 2
Answer is x = 3 and y = 2
1. Area of the right angled ∆ = 1/2 × base × height
height = 16m
base = √20² – 16²
= √400 –256
= √144
= 12 m
Area of the unshaded portion
= 1/2 × base × height
= 1/2 × 12 × 16
= 96m²
2. Area of the rectangle = 300ft × 150ft
= 45000sq. ft
Area of the shaded portion = 100² + (1/2×b×h)
= 10000 + (1/2×120×150)
= 10000 + 9000
= 19000 sq. ft
Area of the unshaded part of the rectangle
= (45000 – 19000)sq. ft
= 26000 sq. ft
Cosine Law:
c² = a² + b² - 2 a b cos C
Answer:
C ) area of square c² = area of square a² + area of square b²
- area of defect 1 - area of defect 2
