MATHEMATICS HIGH SCHOOL

Write the equation of a line in Slope-intercept form which is perpendicular 5 pointsto y = -3x + 4 and passes through the point (9, 12).

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

perp.: 1/3

y - 12 = 1/3(x - 9)

y - 12 = 1/3x - 3

y = 1/3x + 9

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The radius of Venus is 3760.4 miles. What is the approximate volume of Venus?

Answers

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Solve for x and y: 3x+7y=22 12x+28y=88

Answers

Final answer:

The system of linear equations 3x + 7y = 22 and 12x + 28y = 88 actually represents the same line, indicating that there are infinite solutions. Any pair of (x, y) that satisfies one equation will satisfy the other.

Explanation:

To solve the system of linear equations 3x + 7y = 22 and 12x + 28y = 88, let's use substitution or elimination method. Here, the elimination method works best since the equations are multiples of each other. Divide the second equation by 4, you get 3x + 7y = 22, which is exactly the same equation as the first equation.

This means both equations represent the same line, so there are infinite solutions. Any x, y that satisfy one equation will satisfy the other. Therefore, the system is dependent.

Example of such solutions (x, y) can be obtained by isolating y in the first equation:

7y = 22 - 3x

y = (22 - 3x) / 7 or y = 9 + 3x

Learn more about System of linear equations here:

brainly.com/question/27063359

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Final answer:

The given system of equations has infinitely many solutions.

Explanation:

To solve for x and y in the given system of equations:

3x + 7y = 22

12x + 28y = 88

Multiply the first equation by 4 to eliminate the y variable:

12x + 28y = 88

Subtract the second equation from the first equation:

12x + 28y - 12x - 28y = 88 - 88

0 = 0

Since both variables have been eliminated, the equations are dependent and have infinitely many solutions. The solution is any pair of (x, y) values that satisfies the original equations.