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Keith_Richards [23]
3 years ago
11

I need a little extra help with number three

Mathematics
1 answer:
diamong [38]3 years ago
6 0

Answer:

The answer to your question is:

Step-by-step explanation:

Data

f(x) = -2x² + 8x - 2

Process

                -2x² + 8x = y + 2

                -2(x² - 4x + 4) = y + 2 - 8

                -2(x - 2)² = y - 6

                    (x - 2)² = 1/2 (y - 6)

Vertex = (2, 6)

Axis of symmetry =   x = 2

y-intercept

                 f(0) = -2(0)² + 8(0) - 2

                 f(0) = 0 + 0 - 2

                 f(0) = -2

Domain    (-∞, ∞)

Range    (-∞, 6]

See the graph below

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Answer:

245°

Step-by-step explanation:

the bearing is 180° + 65° = 245°


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The perimeter of the triangle is 42. Find the length of all the sides.
iragen [17]
<h3>Given :-</h3>

  • Perimeter of triangle = 42

  • Side 1 of triangle = (x + 4)

  • Side 2 of triangle = (3x + 8)

  • Side 3 of triangle = (5x + 6)

<h3>To find:-</h3>

  • Length of sides

<h3>Explanation:</h3>

So to find length of sides we have to find the value of x.We can find value of x , by this formula:

\\  \\

\bigstar \boxed{ \rm perimeter \: of \triangle \:  = side_1 + side_2 + side_3}

\\  \\

So:-

\\

\dashrightarrow \tt perimeter \: of \triangle \:  = side_1 + side_2 + side_3 \\

\\  \\

\dashrightarrow \tt 42  = (x + 4) + (3x + 8)+( 5x + 6) \\

\\  \\

\dashrightarrow \tt 42  = x + 4+ 3x + 8+5x + 6 \\

\\  \\

\dashrightarrow \tt 42  = x + 3x+5x+ 4 + 8 + 6 \\

\\  \\

\dashrightarrow \tt 42  = 9x+ 4 + 8 + 6 \\

\\  \\

\dashrightarrow \tt 42  = 9x+ 18\\

\\  \\

\dashrightarrow \tt 42  - 18 = 9x \\

\\  \\

\dashrightarrow \tt 24 = 9x \\

\\  \\

\dashrightarrow \tt  9x = 24 \\

\\  \\

\dashrightarrow \tt  x = \dfrac{24}{9}  \\

\\  \\

\dashrightarrow \bf  x =2.67 \{approx \}\\

\\  \\

  • Side 1 of triangle = (x + 4)
  • Side 1 of triangle =2.67 + 4
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  • Side 2 of triangle = 3x + 8
  • Side 2 of triangle = 3 × 6.67 + 8
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  • Side 3 of triangle = 5x + 6
  • Side 3 of triangle = 5 × 2.67 + 6
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━━━━━━━━━━━━━━━━

~WindyMint

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The length of the unknown sides of the triangles are as follows:

CD = 10√2

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AB = 10

<h3>Triangle ACD</h3>

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learn more on triangles here: brainly.com/question/24304623?referrer=searchResults

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