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Daniel [21]
3 years ago
9

Choose the most appropriate strategy and then use it to solve the quadratic equation.

Mathematics
1 answer:
dsp733 years ago
7 0

 (x-8) ^ 2 = 121
 
(x-8) = + / - root (121)
 x = 8 +/- root (121)
 The solutions are:
 
x1 = 8 + root (121)
 
x2 = 8 - root (121)
 2a ^ 2 = 8a-6
 2a ^ 2-8a + 6 = 0
 a ^ 2-4a + 3 = 0
 (a-1) (a-3) = 0
 The solutions are:
 
a1 = 1
 
a2 = 3
 x ^ 2 + 12x + 36 = 4
 x ^ 2 + 12x + 36-4 = 0
 x ^ 2 + 12x + 32 = 0
 (x + 4) (x + 8) = 0
 The solutions are:
 
x1 = -8
 
x2 = -4
 x ^ 2-x + 30 = 0
 
x = (- b +/- root (b ^ 2 - 4 * a * c)) / 2 * a
 x = (- (- 1) +/- root ((- 1) ^ 2 - 4 * (1) * (30))) / 2 * (1)
 x = (1 +/- root (1 - 120))) / 2
 x = (1 +/- root (-119))) / 2
 x = (1 +/- root (119) * i)) / 2
 The solutions are:
 
x1 = (1 + root (119) * i)) / 2
 
x2 = (1 - root (119) * i)) / 2
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In how many ways can 7 persons be arranged in a line such that (a) two particular persons are never together.
ivanzaharov [21]

Answer:

3600 ways

Step-by-step explanation:

person A has 7 places to choose from :

→ He has 2 places ,one to the extreme left of the line ,the other to the extreme right of the line

If he chose one of those two ,person B will have 5 choices and the other 5 persons will have 5! Choices.

⇒ number of arrangements = 2×5×5! = 1 200

→ But Person A also , can choose one of the 5 places in between the two extremes .

If he chose one of those 5 ,person B will have 4 choices and the other 5 persons wil have 5! Choices.

⇒ number of arrangements = 5×4×5! = 2 400

In Total they can be arranged in :

1200 + 2400 = 3600 ways

3 0
2 years ago
A portion of a map with cities a and b is shown.The map uses a scale of 1 inch to 30 miles. A new map has a scale of 2 inches=15
Alina [70]

Answer:

22.5miles

Step-by-step explanation:

For Map 1;

1 inches = 30miles

For Map 2:

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1 inches = x

2x = 1 *15

x = 15/2

x = 7.5miles

This means that 1 inch represents 7.5miles on Map 2'

The distance between the two cities in miles = 30miles - 7.5miles

The distance between the two cities (in miles) = 22.5miles

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2 years ago
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Answer:

Positive I think

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