On a map drawn to scale, 2 cm represents 870 km. How long would a line segment be thats represents 130 kilometers?

Find a solution to the linear equation −2x−2y=8 by filling in the boxes with a valid value of x and y.Provide your answer below:

inna [77]

Given

$-2x-2y=8$

To find a solution for the linear equation, the first step is to write the equation in slope-intercept form:

-Pass the x-term to the right side of the equation by applying the opposite operation to both sides of the equal sign:

$\begin{gathered} -2x+2x-2y=8+2x \\ -2y=2x+8 \end{gathered}$

-Divide both sides by -2:

$\begin{gathered} \frac{-2y}{-2}=\frac{2x}{-2}+\frac{8}{-2} \\ y=-x-4 \end{gathered}$

Once you have expressed the equation of the line in slope-intercept form, replace it with any value for x and calculate the corresponding value of y, for example, x=2

$\begin{gathered} y=-(2)-4 \\ y=-2-4 \\ y=-6 \end{gathered}$

One solution for the linear equation is x=2 and y=-6, you can check the solution by replacing the values on the original equation, with both values the result should be 8:

$\begin{gathered} -2x-2y \\ -2\cdot2-2\cdot(-6) \\ -4+12=8 \end{gathered}$

As you can see the values are a valid solution for the linear equation.

So the solution is:

$-2(2)-2(-6)=8$

6 0

1 year ago

What is the final answer of 100-8(12+8)+10

Anastasy [175]

Step-by-step explanation:

Check the image above dear....

7 0

3 years ago

Can you please hurry I only have like 25 minutes left

Sholpan [36]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Please simplify 10{N + 3).

lana [24]

Answer:

Step-by-step explanation:

I must assume that you meant 10(N + 3). Let's not mix { with ).

10(N + 3) is as simple as this expression gets. You could, however, re-write it as 10N + 30.

6 0

3 years ago

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighb

Sedbober [7]

Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

<h3>What are the variance and standard deviation? </h3>

In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.

2,400; 1,750; 1,900; 2,500; 2,250; 2,100

we need to find which of the following represents the numerator in the calculation of variance and standard deviation.

(225 $)^{2}$ + (–425 $)^{2}$ + (–275 $)^{2}$ + (325 $)^{2}$ + (75 $)^{2}$ + (–75 $)^{2}$ = 423,750

(650 $)^{2}$ + (–150 $)^{2}$ + (–600 $)^{2}$ + (250 $)^{2}$ + (150 $)^{2}$ + (–300 $)^{2}$ = 980,000

(250 $)^{2}$ + (–400 $)^{2}$ + (–250 $)^{2}$ + (350 $)^{2}$ + (100 $)^{2}$ + (–50 $)^{2}$ = 420,000

92416.60

The variance is 84000

The standard deviation is 290

mean = (2400+1750+1900+2500+2250+2100)/6

mean = 2150

Subtract the data values from the mean to get

2400-2150 = 250

1750-2150 = -400

1900-2150 = -250

2500-2150 = 350

2250-2150 = 100

2100-2150 = -50

The differences are 250, -400, -250, 350, 100, -50

Then you square those values and add up the squares

(250)^2 + (-400)^2 + (-250)^2 + (350)^2 + (100)^2 + (-50)^2 = 420,000

Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

Learn more about variance;

brainly.com/question/14116780

8 0

2 years ago

On a map drawn to scale, 2 cm represents 870 km. How long would a line segment be thats represents 130 kilometers?​

On a map drawn to scale, 2 cm represents 870 km. How long would a line segment be thats represents 130 kilometers?