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Zarrin [17]
3 years ago
6

What is the slope of the line that passes through the points

Mathematics
1 answer:
nlexa [21]3 years ago
5 0

\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-14}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-14}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{(-3)}}}\implies \cfrac{-15}{7+3}\implies \cfrac{-15}{10}\implies -\cfrac{3}{2}

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umka2103 [35]

Answer:

The answer is -3

Step-by-step explanation:

First of all we find the difference -4-2 = -(4+2) and than we add the numbers answer is -6 .

-    \frac{6}{4 \div 2}

4÷2=

-   \frac{6}{2}

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7 0
3 years ago
A hardware store receives shipments containing 600 light bulbs each.**Part A sample of 75 light bulbs in a given shipment contai
ollegr [7]

Answer:

24/600

Step-by-step explanation:

it may be wrong

6 0
3 years ago
After how many years will Mr.Rodriguez have increased his original investment by more than 50%? Explain your reasoning
IgorLugansk [536]

Answer:

elaborate, this is vague

Step-by-step explanation:

3 0
3 years ago
Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 162 square feet
Gnom [1K]

Answer:

The width and length of rectangle is 12.728 m

Step-by-step explanation:

Let the length of the rectangle = L

let the width of the rectangle = W

The subjective function is given by;

F(p) = 2(L + W)

F = 2L + 2W

Area of the rectangle is given by;

A = LW

LW = 162 ft²

L = 162 / W

Substitute in the value of L into subjective function;

f = 2l + 2w\\\\f = 2(\frac{162}{w} )+2w\\\\f = \frac{324}{w} + 2w\\\\\frac{df}{dw} = \frac{-324}{w^2} +2\\\\

Take the second derivative of the function, to check if it will given a minimum perimeter

\frac{d^2f}{dw^2}= \frac{648}{w^3} \\\\Thus, \frac{d^2f}{dw^2}>0, \ since,\frac{648}{w^3} >0 \ (minimum \ function \ verified)

Determine the critical points of the first derivative;

df/dw = 0

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L = 162 / 12.728

L = 12.728 m

Therefore, the width and length of rectangle is 12.728 m

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Ivanshal [37]

Answer:

2/5

Step-by-step explanation:

4/5 split into 2 is 2/5 or 4/10

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