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ELEN [110]
3 years ago
8

What number should be added to both sides to complete the square? x^2 + 8x = 4

Mathematics
1 answer:
son4ous [18]3 years ago
8 0

Answer:

16

Step-by-step explanation:

x² + 8x = 4 ⇔ x² + 8x + 16 = 4 + 16 ⇔ x² + 2×4x + 4² = 20 ⇔ (x + 4)² = (2√5)²

Remark : (2√5)² = 20

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Find the
Mazyrski [523]

Answer:

54 cm

Step-by-step explanation:

The area (A) of an equilateral triangle is

A = \frac{s^2\sqrt{3} }{4}  ( s is the side length ) then

\frac{s^2\sqrt{3} }{4} = 81\sqrt{3} ( multiply both sides by 4 to clear the fraction )

s²\sqrt{3} = 324\sqrt{3} ( divide both sides by \sqrt{3} )

s² = 324 ( take the square root of both sides )

s = \sqrt{324} = 18

Thus

perimeter = 3 × 18 = 54 cm

3 0
3 years ago
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3 years ago
At a 3​-mile ​cross-country race, an athlete runs 2 miles at 6 mph and 1 mile at 12 mph. What is the​ athlete's average​ speed?
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Answer: the average speed is 7.5 mph or at least im pretty sure

Step-by-step explanation:

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I hope this helped, if it did could you give me a good rating? lol

8 0
2 years ago
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cestrela7 [59]

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Step-by-step explanation:

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5 0
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