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Rufina [12.5K]
1 year ago
7

Which point is a solution to the system of linear equations?

Mathematics
1 answer:
Sloan [31]1 year ago
6 0

The ordered pair which is a solution to the system of linear equations is: A. (3, 0).

<h3>How to determine the solution?</h3>

In order to determine a solution to the system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;

For ordered pair (3, 0), we have:

y = −x + 3

0 = -3 + 3

0 = 0 (True).

2x − y = 6

2(3) - 0 = 6

6 - 0 = 6

6 = 6 (True).

For ordered pair (3, -1), we have:

y = −x + 3

-1 = -3 + 3

-1 = 0 (False).

For ordered pair (0, 3), we have:

y = −x + 3

3 = 0 + 3

3 = 3 (True).

2x − y = 6

2(0) - 3 = 6

0 - 3 = 6

-3 = 6 (False).

For ordered pair (-1, 3), we have:

y = −x + 3

3 = -1 + 3

3 = 2 (False).

Read more on ordered pairs here: brainly.com/question/12179097

#SPJ1

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diamong [38]

The exact values of the remaining <u>five</u> trigonometric functions of theta are

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  • cotθ = -1/√3

Since tanθ = -√3.

The remaining <u>five</u> trigonometric functions of theta are sinθ, cosecθ, cosθ, secθ and cotθ.

The next trigonometric function of θ is cotθ.

cotθ = 1/tanθ

= 1/-√3

= -1/√3.

Also, tan²θ + 1 = sec²θ

Substituting tanθ = -√3 into the equation, we have

(-√3)² + 1 = sec²θ

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Since θ is in the quadrant II,

secθ = -2

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(-1/√3)² + 1 = cosec²θ

1/3 + 1 = cosec²θ

cosec²θ = 4/3

cosecθ = ±√(4/3)

cosecθ = ±2/√3

Since θ is in the quadrant II,

cosecθ = +2/√3

Also, sinθ = 1/cosecθ

= 1/2/√3

= √3/2

So, the exact values of the remaining <u>five</u> trigonometric functions of theta are

  • sinθ = √3/2
  • cosecθ = 2/√3
  • cosθ = -1/2
  • secθ = -2
  • cotθ = -1/√3.

Learn more about trigonometric functions here:

brainly.com/question/4515552

3 0
3 years ago
The length of a rectangle is the square root of 100 times an unknown number, x. The width is one-half an unknown number, y, less
ELEN [110]
For this problem,all we have to do is translate the word problem into algebraic equations. The equations are as follows:

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W = 1/2*y - 3/2*x

Since A is equal to length times width
A = LW
If L is given, we can find the x. Therefore, we must set the equation where the dependent variable is y and the independent variable is x.

125 = LW
W = 125/L
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10x(1/2*y - 3/2*x) = 125
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Rick buys remote control cars to resell. He applies a markup of 19%.
san4es73 [151]
C+0.19c
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Answer:

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Step-by-step explanation:

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Tom had 90 cookies and sold 60% of them.scott had 150 cookies and sold 2/3 of them.dawn sold 46 cookies.what percentage of the c
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Answer:

Step-by-step explanation:

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Scott: 150 cookies and 2/3 were sold

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Total Sold = 200

Answer

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