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3 years ago

Solve each equation by completing the square NEED THIS IN 10 MINS WILL GIVE BRAINLIEST

Mathematics

1 answer:

yulyashka [42]3 years ago

4 0

Answer:

Step-by-step explanation:

7(b² - 2b - 8) = 0

7(b² - 2b + ) = 8

7(b² - 2b + 1) = 8 + 1

7(b - 1)² = 9

(b - 1)² = 9/7

b - 1 = ±√(9/7)

b = 1 ±3√(1/7)

b ≈ -0.134, 2.134

m² + 10m + 14 = -7

m² + 10m + = -7 - 14

m² + 10m + 25 = -7 - 14 + 25

(m + 5)² = 4

m + 5 = 2

m = -3

p² - 8p + 21 = 6

p² - 8p + = 6 -21

p² - 8p + 16 = 6 -21 + 16

(p - 4)² = 1

p - 4 = 1

p = 5

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Determine which expression(s) is in its simplified form. Select all situations that apply.

PolarNik [594]

5/8, 1/9....these are in simplified form because they cant be reduced

12/15 simplifies to 4/5
4/8 simplifies to 1/2
9/18 simplifies to 1/2

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3 years ago

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Two consecutive whole numbers are n-1 and n

Orlov [11]

a. n-(n - 1) = 1

b. n( n - 1) = n² - n

c. (n - 1) + n = 2n - 1

d. (n - 1) + n = 2n - 1

<h3>Solution:</h3>

General Rule for Equation Solving

Remove parentheses and combine like terms to simplify each side of the equation.

To isolate the variable term on one side of the equation, use addition or subtraction.

To find the variable, use multiplication or division.

Given two consecutive numbers , (n - 1) , n

simplifying :

n - (n - 1)

= n -1(n - 1)

= n - n + 1

= 1

multiplying :

n( n -1)

= n² - n

simplifying :

(n-1) + n

= n - 1 + n

= 2n -1

by adding two numbers :

(n - 1) + n

= n -1 + n

= 2n - 1

To learn more about equations refer to :

brainly.com/question/22688504

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11 months ago

Find the probability of drawing a 10 from a standard deck of 52 cards,

Bond [772]

Answer:

1/13

Step-by-step explanation:

4 kings 52 cards in total

4/52=1/13

6 0

2 years ago

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The Pine Scrub Rail Trail is 126 miles long. If the Willy-Nilly Bike Club rides 18 miles per day, how many days will it take the

Ludmilka [50]

126/18=7
it’s C. 7 days

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2 years ago

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Determine the average speed of the current in a river if a boat moves at 20 miles/hour in still water and takes 3 hours to trave

Taya2010 [7]

The speed of the current in a river is 6 miles per hour

Solution:

Given that,

Speed of boat in still water = 20 miles per hour

Time taken = 3 hours

Distance downstream = 78 miles

To find: Speed of current

If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then:

Speed downstream = (u + v) km/hr

Speed upstream = (u - v) km/hr

Therefore, speed downstream is given as:

$\text{ speed downstream } = \frac{distance}{time} = \frac{78}{3}\\\\\text{ speed downstream } = 26 \text{ miles per hour }$

We know that,

Speed downstream = (u + v)

26 = 20 + v

v = 26 - 20

v = 6 miles per hour

Thus speed of the current in a river is 6 miles per hour

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3 years ago