Sin(2π/3radians) = sin(π/3radians) = (<span><span>√3)/</span>2</span>cos(2π/3radians) =<span> - cos(π/3radians) = 1/2
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becuase 2π/3 + π/3 = <span>π</span>
Answer:
f(x) = (x - 3)(x + 1) → Corresponds with the first (raised higher ) ∪ shaped graph
f(x) = -2(x - 1)((x + 3) → Corresponds with the ∩ shaped graph
f(x) = 0.5(x - 6)((x + 2) → Corresponds with the second (lower) ∪ shaped graph
Step-by-step explanation:
For the function f(x) = (x - 3)(x + 1)
We have;
When x = 0, y = -3
When y = 0 x = 3 or -1
Comparing with the graphs, it best suits the first ∪ shaped graph that rises here than the other ∪ shaped graph
For the function;
f(x) = -2(x - 1)((x + 3)
When x = 0, y = 6
When y = 0, x = 1 or -3
Which corresponds with the ∩ shaped graph
For the function;
f(x) = 2(x + 6)((x - 2)
When x = 0, y = -24
When y = 0, x = -6 or 2
Graph not included
For the function;
f(x) = 0.5(x - 6)((x + 2)
When x = 0, y = -6
When y = 0, x = 6 or -2
Which best suits the second ∪ shaped graph that is lower than the other (first) ∪ shaped graph
For the function;
f(x) = 0.5(x + 6)((x - 2)
When x = 0, y = -6
When y = 0, x = -6 or 2
Graph not included
For the function;
f(x) = (x + 3)((x - 1)
When x = 0, y = -3
When y = 0, x = -3 or 1
Graph not included
The correct answer is option D which is the side length will be (64n)¹⁸.
<h3>What is the area of the square?</h3>
The square is defined as a quadrilateral having all four sides equal to each other and the area of the square is the product of its sides.
Given that:-
- The area of the square is given as- A = (64n)³⁶.
The sides of the square will be calculated as follows:-
A = (64n)³⁶
a² = (64n)³⁶ Here a = Side of the square.
a = √ (64n)³⁶
a = 64n¹⁸
Therefore the correct answer is option D which is the side length will be (64n)¹⁸.
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Answer:
x = 5/8
Step-by-step explanation:
Isolate the variable by subtracting 1/8 from both sides:
3/4 - 1/8 = 5/8
Now, the equation is:
x = 5/8
Therefore, the answer is 5/8
Answer:
add 6 unit tiles
Step-by-step explanation:
The square is completed when the algebra tile grid pattern is a square. This one will be a square when 6 more unit tiles are added to fill the empty spaces at the bottom right.