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3 years ago

(4, 2); slope = 3 How do you do this problem and show work

Mathematics

1 answer:

damaskus [11]3 years ago

6 0

Use the point-slope formula.

y - y_1 = m(x - x_1)

Let m = 3

Let y_1 = 2

Let x_1 = 4

We now plug and chug.

y - 2 = 3(x - 4)

y - 2 = 3x - 12

We now isolate y.

y = 3x - 12 + 2

y = 3x - 10

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Use long division to change 11/30 to a decimal

Angelina_Jolie [31]

Hope this helps! answer= 0.366 to 3 decimal places

4 0

3 years ago

Read 2 more answers

A region with a 5-mile radius has a population density of about 3100 people per square mile. Find the number of people who live

Gwar [14]

Answer:

243,000 people

Step-by-step explanation:

First, what we need to do is to calculate the area of the region using the 5-mile radius

Mathematically, we can calculate this as the area of a circle

Area = pi * r^2

Our r here is 5 miles

Area = pi * 5^2 = pi * 25 = 78.54 square miles

Now to get the population, we know that per square mile we have 3,100.

Hence per 78.54 square mile, we have 78.54 * 3100 = 243,273 people

To the nearest thousand, 243,000

4 0

3 years ago

Find the diameter of the circle with the given circumference use 3.14 C=18

algol [13]

The formula for the circumference of a circle is pi * r * 2

First we solve for r (the radius)
pi*r*2 = C
pi*r*2 = 18

Divide 18 by 2
pi*r = 9

Then divide 9 by 3.14
pi= 9/3.14 which is 2.866

The diameter is 2 times length of the radius so multiply 2.866 by 2
The diameter is about 5.732
(And you can round of course)

Hope that helped

3 0

3 years ago

The augmented matrix of a system of equations has been transformed to an equivalent matrix inâ€‹ row-echelon form. Usingâ€‹ x, y

jenyasd209 [6]

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a Row Echelon Form, which satisfies the following conditions:

There is a row of all zeros at the bottom of the matrix;
The first non-zero element of any row is 1, which called leading role;
The leading row of the first row is to the right of the leading role of the previous row;

For this question, the matrix is a Row Echelon Form and is written as:

$\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right]$ $\left[\begin{array}{ccc}4\\9\\-2\end{array}\right]$

or in system form:

x + 2y + 2z = 4

y + 3z = 9

z = -2

Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

4 0

3 years ago

What is the solution to this system of equations?

Degger [83]

Answer:

Step-by-step explanation:

8 0

3 years ago