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IRISSAK [1]
3 years ago
7

Solve the following system of equations using elimination (addition)

Mathematics
1 answer:
Triss [41]3 years ago
3 0

Answer:

x = 2

y = 6 1/3

Step-by-step explanation:

5x - 6y = -32

3x + 6y = 48

-----------------

8x = 16

x = 2

5(2) - 6y = 48

10 - 6y = 48

-6y = 48 - 10

-6y = 38

y = 6 1/3

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The table shows the results of an experiment in which the spinner shown above was spun 50 times. Find the experimental probabili
torisob [31]

Answer:

P(x < 4) = \frac{9}{50}

Step-by-step explanation:

Given

n(S) = 50

See attachment for distribution

Required

P(x < 4)

This is calculated as:

P(x < 4) = \frac{n(1) + n(2) + n(3)}{n(S)}

Using the data on the frequency distribution table, we have:

P(x < 4) = \frac{4 + 2 + 3}{50}

P(x < 4) = \frac{9}{50}

5 0
3 years ago
Write the equation in slope-intercept form. Y+5= -6(x+7)
Nata [24]

y + 5 = -6x - 42

y = -6x -47

3 0
3 years ago
Which of the following is two-dimensional and infinitely large
denis-greek [22]
A plane has two dimensions and extends infinitely in both dimensions.
8 0
3 years ago
What would be the solution to this Pythagorean/Trigonometric equation? (csc² A - 1) sen² A = cos² A
Anna007 [38]

Answer:

(csc^2 A -1) sin^2 A = cos^2 A

We know that csc x= \frac{1}{sin x} and using this identity we have:

\frac{sin^2 A}{sin^2 A} - sin^2 A = cos^2 A

1 = cos^2 A + sin^2 A

And if we remember the equation above represent the fundamental identity in trigonometry and is satisfied for every real number and we can say that the solution for this case is:

A= [X | x \in R]

Step-by-step explanation:

For this case we have the following equation given:

(csc^2 A -1) sin^2 A = cos^2 A

We know that csc x= \frac{1}{sin x} and using this identity we have:

\frac{sin^2 A}{sin^2 A} - sin^2 A = cos^2 A

1 = cos^2 A + sin^2 A

And if we remember the equation above represent the fundamental identity in trigonometry and is satisfied for every real number and we can say that the solution for this case is:

A= [X | x \in R]

8 0
4 years ago
Please help me....Use the Pythagorean identity
RideAnS [48]

Using the Pythagorean identity, the value of the cosine ratio is \cos(\theta_1) =  \frac{84}{85}

<h3>How to determine the cosine ratio?</h3>

The given parameter is:

\sin(\theta_1) = -\frac{13}{85}

By the Pythagorean identity, we have:

\sin^2(\theta_1) + \cos^2(\theta_1) = 1

So, we have:

(-\frac{13}{85})^2 + \cos^2(\theta_1) = 1

This gives

\cos^2(\theta_1) = 1 - (-\frac{13}{85})^2

Evaluate

\cos^2(\theta_1) = 1 - \frac{169}{7225}

Take LCM

\cos^2(\theta_1) = \frac{7225 -169}{7225}

This gives

\cos^2(\theta_1) = \frac{7056}{7225}

Take the square root of both sides

\cos(\theta_1) = \pm \frac{84}{85}

Cosine is positive in the fourth quadrant.

So, we have:

\cos(\theta_1) =  \frac{84}{85}

Hence, the cosine value is \cos(\theta_1) =  \frac{84}{85}

Read more about Pythagorean identity at:

brainly.com/question/1969941

#SPJ1

4 0
3 years ago
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