MATHEMATICS HIGH SCHOOL

What is the minimum number of data points needed to use matrices to find an equation for a circle in the form 0=x^2+y^2+Dx+Ey+F0 = x 2 + y 2 + D x + E y + F?

Answers

Answer 1

Answer:

The number of rows of a matrix is the number of data points of the matrix.

The number of data points is 3.

The equation is given as:

$\mathbf{0 = x^2 + y^2 + Dx + Ey + F}$

The number of unknown is the minimum number of data points.

From the equation, we have:

$\mathbf{Unknown = D,E, F}$

The number of unknown variable is 3

Hence, the number of data points is 3.

Read more about data points and matrices at:

brainly.com/question/19084291

Answer 2

Answer:

Step-by-step explanation:

You need at least 3 points to define a circle. By looking at the equation, you can see there are three unknown coefficients: D, E, and F. Therefore, you must solve 3 equations, so you need 3 points.

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Solve the inequality
2w-3>14

Answers

Try to follow my steps:

1). Copy the problem:

2w - 3 > 14

2). Add 3 to each side:

2w > 17

3). Divide each side by 2 :

w > 8.5

$2w-3 > 14\ \ \ \ /+3\n\n2w > 17\ \ \ \ /:2\n\nw > 8.5\n\nw\in(8.5;\ \infty)$

What is the correct order of the missing justifications to fill in the blanks for the given equation 4(x + 5) = 2x + 2, given the following steps: 4x + 20 = 2x + 2, 2x + 20 = 2, 2x = -18, x = -9?

Answers

Answer: The correct order of the missing justifications is as follows:

1. Distributive property

2. Subtraction property of equality

3. Subtraction property of equality

4. Division property of equality

Step-by-step explanation:

To determine the correct order of the missing justifications to fill in the blanks for the given equation 4(x + 5) = 2x + 2, let's analyze the steps provided:

Step 1: 4(x + 5) = 2x + 2

This step represents the original equation.

Step 2: 4x + 20 = 2x + 2

This step applies the distributive property by multiplying 4 by each term inside the parentheses, resulting in 4x + 20 on the left side.

Step 3: 2x + 20 = 2

This step simplifies the equation further by subtracting 2x from both sides, which eliminates the variable term on the right side. The equation becomes 2x + 20 = 2.

Step 4: 2x = -18

This step subtracts 20 from both sides of the equation, resulting in 2x = -18.

Step 5: x = -9

Finally, this step isolates the variable x by dividing both sides of the equation by 2, resulting in the solution x = -9.

Please note that the missing justifications may vary depending on the textbook or curriculum being used. However, based on the given steps, this order aligns with the most common justifications used in solving equations.

Which expressions are equivalent to 5^3*5^x?

Answers

5^(3 + x) as when powers are multiplied you add the power

- 18 < - 3x + 9 < 12

Answers

Answer:

9>x>−1

Step-by-step explanation: Brian list?

What is the value of SZT?

Answers

Answer:

$\boxed{m \angle SZT = 121 \degree }$

Given:

$m \angle RZT = 137 \degree \n m\angle RZS = 56 \degree$

Step-by-step explanation:

$= > m \angle RZT = m\angle RZS + m \angle SZT \n \n = >157 \degree = 36 \degree+ m \angle SZT \n \n = > 157 \degree - 36 \degree = m \angle SZT \n \n = > 121 \degree = m \angle SZT \n \n = > m \angle SZT = 121 \degree$