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N76 [4]
2 years ago
8

Find the slope intercept form.

Mathematics
1 answer:
Kazeer [188]2 years ago
3 0

Answer:

y = 3x + 9

Step-by-step explanation:

y = 3x + 6

Parallel slope = 3

(-2, 3)

Slope-intercept:

y - y1 = m(x - x1)

y - 3 = 3(x + 2)

y - 3 = 3x + 6

y = 3x + 9

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The length of a rectangle is nine inches more than its width. Its area is 486 square inches. Find the width and length of the re
Elan Coil [88]

Answer:

  • width: 18 in
  • length: 27 in

Step-by-step explanation:

The relations between length (L) and width (W) are ...

  W +9 = L

  LW = 486

Substituting gives ...

  (W+9)W = 486

  W^2 +9W -486 = 0 . . . put in standard form

  (W +27)(W -18) = 0 . . . . factor

  W = 18 . . . .  the positive solution

The width of the rectangle is 18 inches; the length is 27 inches.

_____

<em>Comment on factoring</em>

There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.

486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.

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3 years ago
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3/4 is the simplified version of 9/12
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