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3 years ago

Find the equation of the line. Write the equation using function notation. Through (-3,-9); parellel to 5x+3y=8

Mathematics

1 answer:

mihalych1998 [28]3 years ago

3 0

Answer:

The equation of a parallel line in point-slope form would be f(x) = -5/3x - 14

Step-by-step explanation:

To find this, we must first find the slope of the original line. We can do this by solving for y.

5x + 3y = 8

3y = -5x + 8

y = -5/3x + 8/3

Now that we have the slope of the original line, we can use the point and slope and put them into the base form of point-slope form. Then we solve for y to get the final result.

y - y1 = m(x - x1)

y + 9 = -5/3(x + 3)

y + 9 = -5/3x - 5

y = -5/3x - 14

Then to get the function notation, we need to replace the y with f(x).

f(x) = -5/3x - 14

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Q no 13 and 14 answer

GalinKa [24]

Answer:

<h2>Question 13 : x = 62°</h2>

<h2>Question 14 : x = 2</h2>

Step-by-step explanation:

Question 13

The diagram in question 13 is a triangle.

The sum of interior angles of a triangle is equal to 180°

To solve for x ;

$x + 69 + 49 = 180 \\ x + 118 = 180 \\ x = 180 - 118 \\ x = 62$

Question 14

(: represents ratio or /)

x/9 = 18/81

Cross Multiply

81x = 18×9

81x = 162

Divide both sides of the equation by 81

81x/81 = 162/81

x = 2

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3 years ago

There were 12 girls on the basketball team. 3 of them scored over 10 points in the game. What fraction represents the number of

Naily [24]

Answer:

1/4

Step-by-step explanation:

3 out of 12 stored over 10:

3 / 12

simplify

1/4

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2 years ago

There are three scoring areas in an outdoor game, 5 points, 10 points and 25 points. What is the total number of point a player

sammy [17]

5(4) is 20. 10(8) is 80. 25(3) is 75. 20+80+75 equals 175. He has a total score of 175.

8 0

3 years ago

Read 2 more answers

What is the equation of the following line written in slope intercept form? (-5,-1)

solmaris [256]

Answer:

$\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the graph we have two points (-5, -1) and (-2, -3).

<em>Look at the picture</em>.

Calculate the slope:

$m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}$

Put it to the equation in slope-intercept form:

$y=-\dfrac{2}{3}x+b$

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:

$-1=-\dfrac{2}{3}(-5)+b$

$-1=\dfrac{10}{3}+b$ <em>subtract 10/3 from both sides</em>

$-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}$

Finally:

$y=-\dfrac{2}{3}x-\dfrac{13}{3}$

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