Determine if the expression -8c-9c^4d^2−8c−9c
1 answer:
Answer:
is a polynomial of type binomial and has a degree 6.
Step-by-step explanation:
Given the polynomial expression
Group like terms
Add similar elements: -8c-8c-9c=-25c
Thus, the polynomial is in two variables and contains two, unlike terms. Therefore, it is a 'binomial' with two, unlike terms.
Each term has a degree equal to the sum of the exponents on the variables.
The degree of the polynomial is the greatest of those.
25c has a degree 1
has a degree 6. (adding the exponents of two variables 'c' and 'd').
Thus,
is a polynomial of type binomial and has a degree 6.
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Question:
If the measure of arc CB is units, what is the measure of ∠CAB?
Answer:
120°
Step-by-step explanation:
The figure has been attached to this response.
The figure shows a circle centered at A and has a radius of 4 units.
Also, the length of the arc CB (as given in the question) is units.
The length <em>L </em>of an arc is given by;
L = -----------------(i)
Where;
β = angle subtended by the arc at the center of the circle and measured in degrees
r = radius of the circle
From the question;
β = ∠CAB
r = 4 units
L =
<em>Substitute these values into equation (i) as follows;</em>
=
=> =
<em>Cancel 8</em><em> on both sides</em>
=
<em>Cross multiply</em>
3 x β = 360 x 1
3β = 360
<em>Divide both sides by 3</em>
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β = 120°
Therefore, the measure of ∠CAB is 120°
