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wel
2 years ago
15

Solve the equation :

Mathematics
1 answer:
mariarad [96]2 years ago
5 0

Answer:

  • <u>x = ∞</u>

Step-by-step explanation:

<u>Solving</u>

  • | 6x² + x - 2 | + | 2 + 3x - 9x² | = | 4x - 3x² |
  • 6x² + x - 2 + 2 + 3x - 9x² = 4x - 3x²
  • -3x² + 4x = 4x - 3x²
  • <u>x = ∞</u>
  • Any value is possible as long as it is positive and a real number
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5540 in scientific notation
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Therefore, the decimal number 5540 written in scientific notation is 5.54 × 103 and it has 3 significant figures.

Step-by-step explanation:

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How do I solve this?
Sonbull [250]

The question is somewhat poorly posed because the equation doesn't involve <em>θ</em> at all. I assume the author meant to use <em>x</em>.

sec(<em>x</em>) = csc(<em>x</em>)

By definition of secant and cosecant,

1/cos(<em>x</em>) = 1/sin(<em>x</em>)

Multiply both sides by sin(<em>x</em>) :

sin(<em>x</em>)/cos(<em>x</em>) = sin(<em>x</em>)/sin(<em>x</em>)

As long as sin(<em>x</em>) ≠ 0, this reduces to

sin(<em>x</em>)/cos(<em>x</em>) = 1

By definition of tangent,

tan(<em>x</em>) = 1

Solve for <em>x</em> :

<em>x</em> = arctan(1) + <em>nπ</em>

<em>x</em> = <em>π</em>/4 + <em>nπ</em>

(where <em>n</em> is any integer)

In the interval 0 ≤ <em>x</em> ≤ 2<em>π</em>, you get 2 solutions when <em>n</em> = 0 and <em>n</em> = 1 of

<em>x</em> = <em>π</em>/4   <u>or</u>   <em>x</em> = 5<em>π</em>/4

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2 years ago
The measure of angle 1 is 65 degrees. What are the measures of the other seven angles? (Enter the
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Answer:

See solution below

Step-by-step explanation:

According to the diagram shown

m<1 = m<5 = 5=65 degrees (corresponding angle)

m<5 = m<4 - 65 degrees (alternate interior angle)

m<9 = m<8 = 65degrees (corresponding angle)

m<5 = m<8 = 65dgrees (vertically opposite angles)

m<6+m<8 = 180

m<6 + 65 = 180

m<6 = 180 - 65

m<6 = 115degrees

m<2 = m<6 = 115degrees (corresponding angles)

m<6 = m<7 = 115degrees (vertically opposite angles)

m<3 = m<7 = 115degrees(corresponding angle)

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3 0
3 years ago
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