The angle x is half the sum of the intercepted arcs, PQ and NO.
... (1/2)(65° + 45°) = 55° = x° = m∠PMQ
The polynomial to be subtracted is derived from the multiplication of the first term of the quotient and is given as: x³ + 2x²
<h3>What are polynomials?</h3>
Polynomials are mathematical expressions consisting of variables, constants and exponents, which are combined using mathematical operations such as addition, subtraction, multiplication and division.
The long division is as follows:
(x³ + 3x² + x) ÷ x + 2
The first quotient will be x².
Multiplying (x + 2) and x² gives the polynomial to be subtracted from the dividend.
(x + 2)×(x²) = x³ + 2x²
Therefore, the polynomial to be subtracted is x³ + 2x².
Learn more about polynomials at: brainly.com/question/497625
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Answer:
y = 1.25
Step-by-step explanation:
Use the direct variation equation y = kx, and solve for k:
y = kx
-10 = k(40)
-0.25 = k
So, the equation is y = -0.25x. Solve for y when x = -5
y = -0.25x
y = -0.25(-5)
y = 1.25
So, y = 1.25 when x = -5
Answer:
Step-by-step explanation:
Step 1:
Convert the mixed numbers to the improper fractions:
Step 2:
We multiply the numbers remembering about simplifying:
Answer:
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