Answer:
It is symmetric about x- axis
The graph is not symmetric along the y - axis
It is not symmetric about the origin
Step-by-step explanation:
We can easily know the solution to your problem by graphing the equation
r(θ) = 2*cos (5*θ)
Please, see attached image
The graph is symmetric about the x axis if
r(θ) = r(-θ)
r(θ) = 2*cos (5*θ) = 2*cos (-5*θ) = r(-θ)
Since the cosine is an even function.
It is symmetric about x- axis
The graph is not symmetric along the y - axis, because
r(θ) ≠ r(π-θ)
It is symmetric about the origin if
r(θ) = r(π+θ)
But, since,
r(θ) = 2*cos (5*θ) ≠ 2*cos (5*(θ+π)) = 2*cos (5*θ+5*π)
It is not symmetric about the origin
109 has a remainder of 4 when divided by 5 since it's 105+4.
Answer: NO
The measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.
<h3>What is a right-angle triangle?</h3>
If any of its inner angles is 90 degrees, the triangle is said to be right-angled. Another term for this triangle is the right triangle or 90-degree triangle.
From the given triangle, it is observed that one of the angles is 90°, showing the given triangle is a right-angle triangle.
From the Δ ABC we found;
tan 45° = AB/BC
1=AB/BC
AB=BC
sin 45° = AB/AC
(1/√2)=AB/AC
AC = √2 AB
From the graph, it is observed that
AB=BC =3 units
AC= √2 AB
AC = 3√2 units
Hence, the measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.
To learn more about the right-angle triangle, refer;
brainly.com/question/3770177
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Answer:
5(11+7) = 55+35
Step-by-step explanation:
The distributive property states that when multiplying a term with a sum multiply into each term within the sum. Here you have a sum. You’ll reverse the distributive property by factoring our a term which could multiply into each. 55 and 35 both have 5 as a factor. This makes the expression 5(11+7) = 55+35.