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Amanda [17]
3 years ago
9

Find the slope of the line that passes through the points (-4,2) and (6,6)

Mathematics
1 answer:
aev [14]3 years ago
6 0

Answer:

D. 2/5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (-4, 2)

Point (6, 6)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{6-2}{6--4}
  2. [Fraction] Subtract:                                                                                           \displaystyle m = \frac{4}{10}
  3. [Fraction] Simplify:                                                                                            \displaystyle m = \frac{2}{5}
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A clothing store has a going-out-of business sale. They are selling pants for $8.99 and shirts for $3.99. You can spend as much
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Answer:

Let x represents the number of pants and y represents the number of shirts.

As per the statement:

Since, a clothing store are selling pants for $8.99 and shirts for $3.99

then;

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Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.

then, we have the equation of inequality;

8.99x + 3.99y \leq 60 ;......[1]         where x, y are natural number.

x-intercept:

Substitute the value y= 0  in [1] and solve for x;

8.99x + 3.99(0) \leq 60

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Simplify:

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x \leq 7

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For y-intercept:

Substitute the value x= 0  in [1] and solve for x;

8.99(0) + 3.99y \leq 60

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8.99x + 3.99y \leq 60 ;

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Answer:

Largest possible length is <em>21 inches</em>.

Step-by-step explanation:

Given:

Total material available = 60 inches

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Largest possible length = ?

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As it is rectangular shaped frame.

Let length = l inches and

Width = w inches

As per given condition:

l = 2w+3 ..... (1)

Total frame available = 60 inches.

i.e. it will be the perimeter of the rectangle.

Formula for perimeter of rectangle is given as:

P = 2 \times (Width + Length)

Putting the given values and conditions as per equation (1):

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Putting in equation (1):

l = 2\times 9+3\\\Rightarrow l = 21\ inch

So, the answer is:

Largest possible length is <em>21 inches</em>.

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