All categories

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

You might be interested in

Match each expression it to an equivalent expression

kykrilka [37]

Hi there!

»»————-　★　————-««

I believe your answer is:

$\frac{4^2}{2^2} = 4\\\\(8-4)*4=4^2\\\\2^2 + 2^2 = 8$

»»————-　★　————-««

Here’s why:

$\boxed{\text{Simplifying each expression:}}\\\\\frac{4^2}{2^2}\\---------\\\\\\rightarrow \frac{16}{4}\\\\\rightarrow \boxed{4}\\\\ \boxed{\frac{4^2}{2^2}=4}$

⸻⸻⸻⸻

$(8-4) * 4\\-----------\\\rightarrow (4)*4\\\\\rightarrow \boxed{16}\\\\\text{We can also tell...}\\\\4^2 = 4 * 4 = \boxed{16}\\\\\text{So...}\\\\\boxed{(8-4)*4 = 4^2}$

⸻⸻⸻⸻

$2^2 + 2^2\\--------------\\\rightarrow 4 + 2^2\\\\\rightarrow 4 + 4\\\\\rightarrow \boxed{8}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

4 0

3 years ago

If a scale is 1:250,000 and the distance is 8.5cm on the map what's the actual distance

timurjin [86]

8.5cm · 250,000 = 2,125,000cm

1m = 100cm therefore 1cm = 0.01m

2,125,000cm = 2,125,000 · 0.01 = 21,250m

1km = 1,000m therefore 1m = 0.001km

21,250m = 21,250 · 0.001km = 21.25km

Answer: 21,250m = 21,25km

7 0

3 years ago

The formula for the nth term of the arithmetic sequence first term is 9 common difference is -2

Yanka [14]

Answer:

$a_n = 9 - 2(n-1)$