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son4ous [18]
4 years ago
9

Express 2x^2+8x+3 in the form 2(x+p)^2+q

Mathematics
1 answer:
e-lub [12.9K]4 years ago
4 0

Answer:

2(x + 2)² - 5

Step-by-step explanation:

Given

2x² + 8x + 3

To obtain the required form use the method of completing the square.

The coefficient of the x² term must be 1, thus factor 2 out of 2x² + 8x

= 2(x² + 4x) + 3

add/subtract ( half the coefficient of the x- term)² to x² + 4x

= 2(x² + 2(2)x + 4 - 4) + 3

= 2(x + 2)² - 8 + 3

= 2(x + 2)² - 5

with p = 2 and q = - 5

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Answer : rotation of 90 counterclockwise° about the origin and then translation 2 unit up.

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Now, Δ R'S'T', is also a right triangle. But he long side is parallel to the y axis and ∠S' is now above ∠R' instead of ∠S being to right of ∠R in the original Δ.

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3 years ago
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tino4ka555 [31]

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3 years ago
Read 2 more answers
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ladessa [460]
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3 0
4 years ago
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HELP:Sarah, who is 19 feet away from Justin, has a ball in her hand. Sarah throws the ball away from Justin at a speed of 5 feet
Paha777 [63]

Answer:

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Step-by-step explanation:

As shown in the diagram, we let the distance between Justin and Brandon be x

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3 0
3 years ago
Very simple <br>-3x +10 = 5x -8​
Lorico [155]
10+8=5x+3x
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Hope it’s right
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3 years ago
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