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Ad libitum [116K]
3 years ago
13

PLS HELP! solve by completing the square x²+4x=8

Mathematics
1 answer:
masya89 [10]3 years ago
4 0

Step-by-step explanation:

x²+4x=8

rearrange

x² + 4x - 8 = 0

half of 4 is 2

so

x² + 4x + 2² - 2² - 8 = 0

do x² + 4x + 2²

multiplies to give 4 adds to give 4

2+ 2

(x + 2)²

(x + 2)² - 2² - 8

(x + 2)² - 4 - 8

(x + 2)² - 12

(x + 2 + √12) (x + 2 - √12)

√12 = √4 * √3 = 2 √3

(x + 2 + 2√3) (x + 2 - 2√3)

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Answer:

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Step-by-step explanation:

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3 years ago
Factor completely. 20+72m Enter your answer in the boxes.
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The diameter of the larger circle is 12.5 cm. The diameter of the smaller circle is 3.5 cm.
JulsSmile [24]

If the diameter of the smaller circle is 3.5cm, that means the radius is 1.75cm.

The area of the smaller circle is π × 1.75², which is ≈ 9.62112750162.

The diameter of the larger circle is 12.5 cm, so the radius would be half that, which is 6.25cm. The area of the larger circle would be π × 6.25², which is ≈ 122.718463031.

So now that we know the area of the larger circle and the smaller circle, we can find the area of the shaded region by subtracting the area of the smaller circle from the area of the larger circle, which is basically just 122.718463031 - 9.62112750162, which is = 113.097336. The closest answer here is 113.04, hence the answer is 113.04cm².

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3 years ago
Describe how to round 3.987 to the nearest 10th
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In a certain company, there were five candidates running for President. After the vots were tallied, it turned out that Victor,
Alborosie

Considering the situation described, the classification of the elections is given as follows:

  • David came in first place.
  • Greg came in second place.
  • Victor came in third place.
  • Mac came in fourth place.
  • Bill came in fifth place.

<h3>How to find the classification of the elections?</h3>

We take the situation that is described, and build the classification from it. The classification has the following format:

P1 - P2 - P3 - P4 - P5

With P1 being the first placed candidate, P2 being the second placed candidate, and so on until P5 which is the fifth placed candidate.

From the text given in this problem, we have that:

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  • Greg didn't come in first nor in last, hence, considering that Victor is P3, Greg = P2 or P4.
  • Mac didn't win, but he finished higher than Bill, hence, considering that Mac didn't win and that Victor is P3, Mac = P4, Bill = P5.
  • From the bullet points above, we can conclude that David = P1, Greg = P2.

Hence the places of each candidate are given as follows:

  • David came in first place.
  • Greg came in second place.
  • Victor came in third place.
  • Mac came in fourth place.
  • Bill came in fifth place.

A similar problem, in which a situation is interpreted, is given at brainly.com/question/5660603

#SPJ1

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