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Bingel [31]
3 years ago
10

Find the slope of the given points (3,4) and (7,-4)

Mathematics
1 answer:
mr Goodwill [35]3 years ago
3 0

Answer:

<h2>         m = -2</h2>

Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(3, 4)    ⇒   x₁ = 3,  y₁ = 4

(7, -4)    ⇒   x₂ = 7,  y₂ = -4

So the slope:

                    \bold{m=\dfrac{-4-4}{7-3}=\dfrac{-8}4=-2}

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A van travels 260 miles on 13 gallons of gas. Find how many gallons the van needs to travel 500 miles?
FinnZ [79.3K]

Answer:

  25 gallons

Step-by-step explanation:

Assuming miles-per-gallon is a constant, the amount of gas is proportional to the miles driven:

  gallons/(500 mi) = (13 gal)/(260 mi)

  gallons = (500 mi)/(260 mi)(13 gal) . . . . multiply by 500 mi

  gallons = 25 gal . . . . do the arithmetic

The van will need 25 gallons of gas to go 500 miles.

6 0
4 years ago
A package weighs 80 ounces. What is the weight of the package in pounds?
Degger [83]

Answer:

5

Step-by-step explanation:

1 ounce = 0.0625

0.0625 x 80 = 5

3 0
3 years ago
Write 18.4 as a fraction in lowest terms
Lapatulllka [165]

Answer:

Divide each side of 18/4 by 2 to get <u>9/2.</u>

5 0
3 years ago
Read 2 more answers
Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the a
Sladkaya [172]

Answer:

Part A: The length of each side is 3x-2 units long.

Part B: The dimensions are 5x-4 and 5x+4 units long.

Step-by-step explanation:

Part A:

--> 9x^2-12x+4

--> Multiply 9 times 4 to see the factors of that product

--> 9 times4 = 36

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Use the factor 6 and make it negative so -6

add another -6

Keep in mind that it is -6x

--> 9x^2-6x-6x+4

Separate the four terms into two different binomials

--> 9x^2-6x  and -6x+4

Factor the binomials

With 9x^2-6x you can factor a 3x

So it will 3x(3x-2)

Do the same thing with -6x+4

You can factor out a -2

-2(3x-2)

The reason you factor out a -2 and not 2 is because it has to be same so in this case it is (3x-2)

Take the two numbers that you factored and put them to make an expression so (3x-2)

--> (3x-2)(3x-2) or (3x-2)^2

3x-2 is the length of each side so it is 3x-2 units long

Part B:

-->25x^2-16y^2

Use the difference of squares

take the square root of 25x^2

that is 5x

take the square root of 16y^2

that is 4y

write it in this way (5x+4y)(5x-4y)

These are the dimensions of the rectangle

3 0
3 years ago
What scale factor was applied to the first rectangle to get the resulting image?
yulyashka [42]
You would take 3 into 7.5 to get that scale factor.
7 0
3 years ago
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