Answer: 3rd option
Step-by-step explanation: square root of 13 is 3.60 so it lines up perfectly on the number line
Answer:
The two lines are not perpendicular because the product of their slopes is not equal to -1
Step-by-step explanation:
The product of the slopes of the perpendicular line is -1
- That means one of them is and additive and multiplicative inverse of the other
- If the slope of one of them is m, then reciprocal m and change its sign, then the slope of the perpendicular is
- The formula of the slope is
Let us find from the graph two points lie on each line and calculate the slopes of them and then find its product if the product is -1, then the two lines are perpendicular
From the graph
∵ The red line passes through points (4 , 0) and (0 , 8)
∴ 
= 4 and 
= 0
∴ 
= 0 and 
= 8
∵ 
∴ The slope of the red line is -2
∵ The blue line passes through points (5 , 5) and (0 , -5)
∴ = 5 and = 0
∴ = 5 and = -5
∵ 
∴ The slope of the blue line is 2
∵ The products of the slopes of the two lines = -2 × 2 = -4
∴ The product of the slopes of the lines not equal -1
∴ The two lines are not perpendicular
The graph of the function y = sin 0.5x is option A. This can be obtained by using period of the graph function.
<h3>Which is the required graph?</h3>
Periodic function is a function that repeats at uniform intervals; the time interval between two waves is called the period.
- A function f will be periodic with period n,
f (a + n) = f (a), ∀ n > 0.
After first n the function is same that is f(a), after second function is the same, the function is repeated with an interval of n.
- For example: the period of sin a is 2π for the reason that the smallest number satisfying sin (a + 2π) = sin a is 2π, for all a.
Therefore the formula for period of a function is 2π/|B| when the function is y = A sin(Bx + C) and y = A cos(Bx + C).
For a function y = sin bx, period is given by,
P = 2π/b
Here function is y = sin 0.5x, therefore b = 0.5
P = 2π/0.5
=20π/5
= 4π
Period is 4π. The first graph has period 4π.
Hence the graph of the function y = sin 0.5x is option A.
Learn more about period of graph:
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Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: Which could be the graph of the function y = sin 0.5x?
