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Vaselesa [24]
3 years ago
9

Solve using completing the square method 12 x square + 7 x square - 12 is equals to zero​

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

  x = -4/3  or  3/4

Step-by-step explanation:

To solve the equation by completing the square, it is convenient to have the leading coefficient be 1. Accordingly, we divide the equation by 12:

  x^2 +7/12x -1 = 0

Add the constant.

  x^2 +7/12x = 1

Add the square of half the x-coefficient.

  x^2 +7/12x +49/576 = 1 +49/576

Write the left side as a square; simplify the right side.

  (x +7/24)^2 = 625/576

Take the square root.

  x +7/24 = ±25/24

  x = (-7 ±25)/24

  x = -4/3  or  3/4

_____

These solutions suggest the equation could be factored as ...

  (3x +4)(4x -3) = -0

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Answer:

Step-by-step explanation:

I made a table with a pretend number of years of teaching by picking a somewhat random number to start

"Clark has less seniority than Cornwall but more than Prendergast:"  I picked 3 for Clark 4 for Cornwall, and 2 for Prendergast, to start.

"Prendergast has more than Brown but less than Alexander:"  I see I'm running out of easy numbers here.  "Prendergast has more than Brown" means give Brown 1 year but this new teacher, Alexander needs a number between Clark and Prendergast.  To make room, I increased Clark and Cornwall by 1 and finished the remainder in the "Final Years" column:

<u>Teacher </u>     <u>Years</u>     <u> Final Years</u>

Clark         3               4

Cornwall         4               5

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Alexander                  3

The highest seniority teacher, Cornwall, is smart and refuses the job.  That leaves Clark, at number 2 seniority, to become the new supervisor.

6 0
2 years ago
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Sonbull [250]

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129°

Step-by-step explanation:

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Amiraneli [1.4K]

ST = 7.2

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Solution:

Given ΔRST is a right triangle.

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$\csc A=\frac{\text {Hypotenuse} }{\text {Opposite side}}

$\csc A=\frac{ST}{RS}

$\csc 56^\circ=\frac{ST}{6}

$\csc 56^\circ \times 6=ST

1.206 × 6 = ST

7.236 = ST

ST = 7.2

$\cot A=\frac{\text {Adjacent side} }{\text {Opposite side}}

$\cot A=\frac{RT}{RS}

$\cot 56^\circ=\frac{RT}{6}

$\cot 56^\circ \times 6=RT

0.674 × 6 = RT

4.044 = RT

RT = 4.04

To find the measure of angle S.

Sum of the interior angles of the triangle = 180°

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m∠S = 180° – 146°

m∠S = 34°

8 0
3 years ago
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Dvinal [7]

13

Step-by-step explanation:

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3 years ago
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Ne4ueva [31]

Answer:

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Constantly move to the right side and change characters

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