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kozerog [31]
3 years ago
6

A linear function is graphed below.

Mathematics
2 answers:
AnnyKZ [126]3 years ago
8 0

Answer:

Step-by-step explanation:

find the slope m  by using the slope formula

m = (y2 - y1) / (x2 - x1)

Point1 = ( -1,4)  where it takes the form (x1,y1)

Point2 =(5, -5) where it takes the form (x2,y2)

notice the form is important

m = (-5 -4) / (5 - (-1))

m = -9  /  ( 5 +1 )

m = -9 / 6

m = - 3/2

Evgen [1.6K]3 years ago
4 0

Answer:

-1\frac{1}{2}

Step-by-step explanation:

We have two coordinate points and are asked to find a slope.

When finding slope, we can use the formula listed :

\frac{y^2-y^1}{x^2-x^1}}

To understand what the variables are, you can take this :

(x^1,y^1)

(x^2,y^2)

Substitute the points :

(-1,4)

(5,-5)

Now substitute it into the formula :

\frac{-5-4}{5-(-1)}

\frac{-3}{2}

-1\frac{1}{2}

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A right triangle's longest side is the hypotenuse
let x=longest, y=middle, and z=shortest
x=y+2
y=2z-1
therefore x=(2z-1)+2=2z+1
find z
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3 0
3 years ago
Members of Alachua District Choir were asked, when given the choice between Romanticism or Gothic
zalisa [80]

Answer:

\begin{array}{cccc}{} & {Romanticism} & {Gothic} & {Total} & {Males} & {48} & {63} & {111}& {Females} & {59} & {62} & {121} & {Total} & {107} & {125} & {232} \ \end{array}

Step-by-step explanation:

Given

Romanticism

Male = 48

Female = 59

Gothic

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Female = 62

Required

Complete the table <em>(See attachment for complete question)</em>

The table can be represented as:

\begin{array}{cccc}{} & {Romanticism} & {Gothic} & {Total} & {Males} & {48} & {63} & {111}& {Females} & {59} & {62} & {121} & {Total} & {107} & {125} & {232} \ \end{array}

The "total" column represents the number of males and female sampled, respectively.

Male = 48 + 63 = 111

Female = 59 + 62 = 121

The "total" row represents the number of Romanticism and Gothic sampled, respectively.

Romanticism = 48 + 59 = 107

Gothic = 63 + 62 = 125

The overall sample is calculated by adding up the number of males and females or the number of Romanticism and Gothic

Overall = Male + Female

Overall = 111 + 121 = 232

or

Overall = Romanticism + Gothic

Overall = 107 + 125 = 232

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is
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