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Hunter-Best [27]
2 years ago
9

Solve the equation by completing the square. 0 = 4x2 − 72x

Mathematics
1 answer:
Lyrx [107]2 years ago
6 0

Answer:

B

Step-by-step explanation:

Given

4x² - 72x = 0 ← factor out 4 from each term

4(x² - 18x) = 0

To complete the square

add/subtract (half the coefficient of the x- term)² to x² - 18x

4(x² + 2(- 9)x + 81 - 81) = 0

4(x - 9)² - 4(81) = 0

4(x - 9)² - 324 = 0 ( add 324 to both sides )

4(x - 9)² = 324 ( divide both sides by 4 )

(x - 9)² = 81 ( take the square root of both sides )

x - 9 = ± \sqrt{81} = ± 9 ( add 9 to both sides )

x = 9 ± 9

Then

x = 9 - 9 = 0

x = 9 + 9 = 18

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Hi, I’m really confused if anyone could help me out that would mean a lot?:)
marusya05 [52]

Hey there! :)

Answer:

a) 32 sticks.

b) 5n + 2 sticks.

Step-by-step explanation:

Solve this by finding the pattern.

Pattern # 1 = 7 sticks.

Pattern #2 = 12 sticks

Pattern #3 = 17 sticks.

We can see an increase of 5 sticks within each. We can use this to write an equation:

f(n) = 7 + 5(n-1)

***Where n is the term number

You can simplify the equation to become:

f(n) = 7 + 5n - 5

f(n) = 5n + 2.

Use this equation to solve for pattern # 6:

f(6) = 7 + 5(n-1)

f(6) = 7 + 5(5)

f(6) = 7 + 25

f(6) = 32.

6 0
2 years ago
The model represents an equation. What value of x makes the equation true?
Anuta_ua [19.1K]

Answer:

I think i wanna say one of the fractions

Step-by-step explanation:

5 0
2 years ago
Watch help video<br> Find the exact length of the third side.<br> 50<br> 10
scZoUnD [109]

Answer:

40

a triangle has 180 degrees

3 0
3 years ago
Given the kite below, if NO = 5 and OM = 12, what is the value of NM?
tester [92]

Answer:

NM = 13

Step-by-step explanation:

pythagorean theorem: a^{2} + b^{2} = c^{2}

a or NO = 5

b or OM = 12

c or NM = ?

plug in what is known:

⇒ 5^{2} + 12^{2} = c^{2}

⇒ 25 + 144 = c^{2}

⇒ 169 = c^{2}

square root each side of the equation:

⇒ \sqrt{169} = \sqrt{c^{2} }

solve:

⇒ 13 = c

6 0
2 years ago
I need help ASAP
Dima020 [189]

Answer:

20

Step-by-step explanation:

x/2+15=25

x/2=10

x=20

Please mark as Brainliest! :)

Have a nice day.

3 0
3 years ago
Read 2 more answers
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