Answer: y = -10 sin (πx) + 4
<u>Step-by-step explanation:</u>
y = A sin (Bx - C) + D
- Amplitude: A
- Period = 2π/B ---> B = 2π/Period
- Phase Shift = C/B --> C = B · Phase Shift
- D: midline, vertical shift
Given:
- A = 10
- B = 2π/2 = π
- C = B · 0 = 0
- D = 4
- reflection over x- axis
Equation:
y = -10 sin (πx - 0) + 4
a. The area of the rectangle: 16 units²
b. The area of the triangle on the left: 6 units²
c. Area of the triangle on the right: 10 units²
d. Area of the figure: 32 units²
<h3>What is the Area of a Rectangle and a Triangle?</h3>
- Area of a rectangle = (l)(w)
- Area of a triangle = 1/2bh
a. l = 4 units
w = 4 units
Area of the rectangle = (4)(4) = 16 units²
b. b = 3 units
h = 4 units
Area of the triangle on the left = 1/2(3)(4) = 6 units²
c. b = 5 units
h = 4 units
Area of the triangle on the right = 1/2(5)(4) = 10 units²
d. Area of the figure = 16 + 6 + 10 = 32 units²
Learn more about the area of a rectangle and a triangle on:
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Answer:
second equation :
( 20x² — 2xy — 42y² )
Step-by-step explanation:
expand the two brackets.
Answer:
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.
Step-by-step explanation:
-4x + 20 +3a - 21
3a - 4x - 1
