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vova2212 [387]
2 years ago
11

1.) What is the best approximation of the solution to the system to the nearest integer values?

Mathematics
2 answers:
storchak [24]2 years ago
7 0
For number one, the answer is C. (2,3).

For number two, the answer is (-1, -1). 

((Simply find the intersection between the two lines to get your solution. 

melisa1 [442]2 years ago
5 0

<u>Part 1)</u> we have

5x+2y=16 ------> equation A

x+3y=12

x=12-3y ------> equation B

Substitute the equation B in equation A

5[12-3y]+2y=16

60-15y+2y=16

13y=44

y=44/13=3.38

Find the value of x

x=12-3(44/13)=1.85

the best approximation is the point (2.3)

therefore

<u>the answer Part 1) is the option C</u>

(2.3)

<u>Part 2) </u>we have

y=-x-2 ------> equation A

y=3x+2 ------> equation B

equate equation A and equation B

-x-2=3x+2

4x=-4

x=-1

Find the value of y

y=-(-1)-2=-1

the solution is the point (-1,-1)

therefore

<u>the answer Part 2) is </u>

(-1,-1)


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Step-by-step explanation:

compare this equation with the standard equation of a circle centered at (h, k) with radius r:

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3 years ago
The expression cos^-1 (3/5) has an infinite number of values.. True or False.
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Answer:

The given statement:

The expression cos^-1 (3/5) has an infinite number of values is a true statement.

Step-by-step explanation:

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Let us equate this expression to be equal to some angle theta(θ)

i.e.

Let

\arccos (\dfrac{3}{5})=\theta\\\\\cos \theta=\dfrac{3}{5}

As we know that the limit point of the cosine  function is [-1,1]

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Also,

-1< 3/5 <1

This means that the cosine function takes this value infinite number of times.

That is there exist a infinite number of theta(θ) for which:

\cos \theta=\dfrac{3}{5}

i.e. the expression:

\arccos (\dfrac{3}{5}) has infinite number of values.

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