2 years ago

Find each of the following products of conjugate pairs.See if you can work out a pattern

Mathematics

1 answer:

yKpoI14uk [10]2 years ago

4 0

Answer: is 0

Step-by-step explanation:

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In the year 2000, there were 5,000 people living in the town of Clairmont. By 2010, the population had grown to 5,600. What is t

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2 years ago

five times the sum of a number and 27 is greater than or equal to six times the sum of the number and 26 what is the solution to

zvonat [6]

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2 years ago

Find the domain and range of the function below.

Nana76 [90]

ANSWER

Domain: All real numbers

Range:

$[2, \infty )$

EXPLANATION

The given function is

$y = 3 {x}^{2} - 6x + 5$

To find the domain and range of the given function, we complete the square.

$y = 3 ({x}^{2} - 2x )+ 5$

$y = 3 ({x}^{2} - 2x + 1) + 3( - 1)+ 5$

$y = 3 ({x - 1)}^{2} - 3+ 5$

$y = 3 ({x - 1)}^{2} + 2$

The vertex is at (1,2).

The given function is a polynomial and all polynomial functions are defined everywhere.

The domain is all real numbers.

The parabola opens upwards and have vertex at (1,2). Hence the minimum y-value is 2.

The range is

$[2, \infty )$

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2 years ago

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Law of cosines: a2 = b2 + c2 – 2bccos(A) Find the measure of Q, the smallest angle in a triangle whose sides have lengths 4, 5,

Ierofanga [76]

We are tasked to solve for the smallest angle using the law of cosines given that the three sides of the triangle are 4,5 and 6.
a=4 , b=5, c=6
Angle 1:
cosA = 5² + 6² - 4² / 2*5*6
A=41.41°

Angle 2:
cos B = 4²+6² -5² /2*4*6
B= 55.77°

Angle C:
C = 180° - 41.41° - 55.77°
C = 82.82°

The smallest angle is A which is equal to 41.41°.

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2 years ago

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