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Kruka [31]
3 years ago
6

Find the slope of the line that passes through the points (3, 6) and (5, 3).

Mathematics
1 answer:
DanielleElmas [232]3 years ago
7 0

Hello!

To find the slope of the line that passes through the points (3, 6) and (5, 3), we will need to use the slope formula.

Slope formula is \frac{y_{2}-y_{1} }{x_{2}-x_{1}}.

Now, we should assign the given points as x1, y1 or x2, y2. The point (3, 6) can be assigned to x1, y1, and (5, 3) to x2, y2.

Now, substitute the given points into the slope formula.

\frac{3-6}{5-3} =  -\frac{3}{2}

Therefore, the slope of the line is choice A, -3/2.

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Margie has a $50.00 budget to purchase $45.00 pair of boots. If there is an 8% sales tax rate then how much under budget will Ma
LuckyWell [14K]
She will be $1.40 under budget.

8% = 8/100 = 0.08

Adding this to 100% of the price of the shoes, we get 108% = 108/100 = 1.08.

We multiply the price of the shoes by this:
45*1.08 = 48.60

Subtract this from 50:
50 - 48.60 = 1.40
7 0
4 years ago
Read 2 more answers
Given f(x) = √(x-3) , what is the positive value of f(12)?
Shalnov [3]

Answer:

3

Step-by-step explanation:

Given

f(x) = \sqrt{(x-3)} , then

f(12) = \sqrt{12-3} = \sqrt{9} = ± 3

There are 2 values 3 and - 3

The positive value of f(12) is + 3

6 0
3 years ago
7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿C
4vir4ik [10]

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea x la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:

Cantidad inicial de vacas

x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}

x = 84

Habían inicialmente 84 vacas.

Cantidad de vacas muertas

y = \frac{3}{7}\cdot x

y = 36

Murieron 36 vacas.

Cantidad de vacas vendidas

z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x

z = 24

24 vacas fueron vendidas.

8 0
3 years ago
Choose one of the factors of 500x3 + 108y18
sammy [17]

Answer:

Option C

Therefore, one of the factors of 500x^3 +108y^\left (18\right ) is (5x+3y^6).

Step-by-step explanation:

Given: 500x^3 +108y^\left (18\right )

the common factor from 500x^3 and 108y^\left (18\right ) is 4.

therefore, 4\cdot \left ( 125x^3+27y^\left (18\right ) \right )

4\cdot \left ( (5x)^3+(3y^6)^3 \right))

Now, use the formula for above expression: (a^3+b^3)=(a+b)(a^2-ab+b^2)

here, a=5x and b=3y^6

( (5x)^3+(3y^6)^3 \right))=(5x+3y^6)(25x^2-15xy^6+9y^12)

Therefore, we have

500x^3 +108y^\left (18\right )=4\cdot (5x+3y^6)\left (25x^2-15xy^6+9y^\left ( 12 \right )  \right )

Therefore, one of the factors of 500x^3 +108y^\left (18\right ) is (5x+3y^6).








7 0
3 years ago
Read 2 more answers
A cylinder car for two with a diameter of 8 cm and a height of 20 cm is used to package a gift what is the approximate volume of
LUCKY_DIMON [66]

V=PI x r^2 x H

V=3.14 x 64 x 20 = 1005 cubic cm

4 0
3 years ago
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