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kupik [55]
3 years ago
13

What is the slope of the line passing through the points (0,-5) and (4,2)?

Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0

Answer:

\huge{ \boxed{ \tt{ \frac{ 7}{4} }}}

Step-by-step explanation:

\text{Let \: the \: points \: be \: A \: and \: B}

\sf{A \:( \: 0 \:,  - 5 \: )  \longrightarrow{ \: (x1 \:, y1)}}

\sf{B(4 \:, 2) \:  \longrightarrow{ \:( x2 \:, y2)}}

\underline{ \text{Finding \: the \: slope} }:

\boxed{ \sf{Slope =  \frac{y2 - y1}{x2 - x1}}}

\sf{➳ \: Slope =  \frac{2 - ( - 5)}{4  - 0}}

\sf{➳ \: Slope =  \frac{ 2 + 5}{4} }

\sf{➳ \: Slope =  \frac{7}{4} }

\text{Hope \: I \: helped!}

\text{Best \: regards!}

~\text{TheAnimeGirl}

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Can you find a strategy for splitting any number so that you always get the largest product?
Alex

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Answer:

  split the number into equal pieces

Step-by-step explanation:

Assuming "splitting any number" means identifying parts that have the number as their sum, the maximum product of the parts will be found where the parts all have equal values.

We have to assume that the number being split is positive and all of the parts are positive.

<h3>2 parts</h3>

If we divide number n into parts x and (n -x), their product is the quadratic function x(n -x). The graph of this function opens downward and has zeros at x=0 and x=n. The vertex (maximum product) is halfway between the zeros, at x = (0 + n)/2 = n/2.

<h3>3 parts</h3>

Similarly, we can look at how to divide a (positive) number into 3 parts that have the largest product. Let's assume that one part is x. Then the other two parts will have a maximum product when they are equal. Their values will be (n-x)/2, and their product will be ((n -x)/2)^2. Then the product of the three numbers is ...

  p = x(x^2 -2nx +n^2)/4 = (x^3 -2nx^2 +xn^2)/4

This will be maximized where its derivative is zero:

  p' = (1/4)(3x^2 -4nx +n^2) = 0

  (3x -n)(x -n) = 0 . . . . . . . . . . . . . factor

  x = n/3  or  n

We know that x=n will give a minimum product (0), so the maximum product is obtained when x = n/3.

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A similar development can prove by induction that the parts must all be equal.

6 0
3 years ago
the area of a square game board is 144 square inches what is the length of one of the sides of the board
mylen [45]
Each side is 36 inches. since it is a square all sides are the same length. 144 divided by 4 (number of sides) =36. hope that helps

8 0
3 years ago
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erica [24]

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Answer:

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Step-by-step explanation:

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1. y = -|3×17| = -51

2. y = -|3×10| = -30

3. y = -|3×20| = -60

4. -6 = -|3x|

  2 = |x| . . . . divide by -3

  x = ±2 . . . . two possibilities

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3 years ago
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Diano4ka-milaya [45]

Answer:

me cuz its a solid brain workout

Step-by-step explanation:

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