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3 years ago

Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation

Mathematics

1 answer:

Alina [70]3 years ago

5 0

Answer:

x + y = 6

Step-by-step explanation:

The two intercepts are given, so we can write the equation first in intercept form:

x/x-intercept +y/y-intercept = 1

x/6 +y/6 = 1

Multiplying by 6 gives the standard form equation:

x + y = 6

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Draw an angle in standard position whose terminal side contains the point

kvasek [131]

Answer:

The distance of the point from the origin = 9.29 units.

Step-by-step explanation:

Given point:

(7,-6)

The angle lies such that the terminal side of the angle contains the given point.

To draw the angle and find the distance from the origin to the given point.

Solution:

The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.

So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.

We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.

Applying Pythagorean theorem.

$Hypotenuse^2=Shorter\ Leg^2+Shortest\ Leg^2$

$Hypotenuse^2 = (7)^2+(-6)^2$

$Hypotenuse^2=49+36\\Hypotenuse^2=85$

Taking square root both sides :

$\sqrt{Hypotenuse^2}=\sqrt{85}$

$Hypotenuse = 9.29\ units$

Thus, the distance of the point from the origin = 9.29 units.

The figure is shown below.

5 0

3 years ago

If Benito is selecting samples of five values from the table, which row will result in the greatest mean? Population Data Row 1

Vilka [71]

Answer:

4th row will result in the greatest mean.

Step-by-step explanation:

We are asked to find the row with greatest mean from our given rows.

We will use formula $\bar{x}=\frac{\Sigma x}{n}$ , where,

$\bar{x}=\text{Mean}$ ,

$\Sigma x=\text{Sum of all data values}$ ,

$n=\text{Number of data points in sample}$

Let us find mean of each row using above formula.

$\text{Mean of row 1}=\frac{4+2+2+3+3}{5}$

$\text{Mean of row 1}=\frac{14}{5}$

$\text{Mean of row 1}=2.8$

Therefore, mean of 1st row is 2.8.

$\text{Mean of row 2}=\frac{3+3+4+3+2}{5}$

$\text{Mean of row 2}=\frac{15}{5}$

$\text{Mean of row 2}=3$

Therefore, mean of 2nd row is 3.

$\text{Mean of row 3}=\frac{2+4+3+4+3}{5}$

$\text{Mean of row 3}=\frac{16}{5}$

$\text{Mean of row 3}=3.2$

Therefore, mean of 3rd row is 3.2.

$\text{Mean of row 4}=\frac{3+4+4+7+3}{5}$

$\text{Mean of row 4}=\frac{21}{5}$

$\text{Mean of row 4}=4.2$

Therefore, mean of 4th row is 4.2.

Since 4th row has the highest mean, therefore, 4th row will result in the greatest mean.

6 0

3 years ago

Read 2 more answers

What is the greatest common factor of 16 and 48?

Anna11 [10]

Answer:

Step-by-step explanation:

We can list out each of the numbers' prime factors first before deciding their greatest common factor.

16: 2 × 2 × 2 × 2

48: 2 × 2 × 2 × 2 × 3

As you can see the bolded parts, these are the common factors of the two numbers. To find the greatest common factors, we just have to multiply all their common factors together.

Greatest common factor of 16 & 48: 2 × 2 × 2 × 2 = 16

7 0

3 years ago

Read 2 more answers

What is the slope-intercept form of the equation of the line shown in the graph?

Rom4ik [11]

C
the correct answer would be c

3 0

3 years ago

Read 2 more answers

Kyle and Leah both work in the evenings. Leah

MA_775_DIABLO [31]

Answer:

The awnser is March 15th because every 12 days they are off at the same time

Step-by-step explanation:

<h2>BRAINLIEST PLEASE</h2>

4 0

3 years ago