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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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Answer:

(-2,-1)

Step-by-step explanation:

Using the graph find the coordinates for A and B.

A (-4,2) and B is (0,-4)

Midpoint formula is (x1 + x2)/2 , (y1+y2)/2

x value of the midpoint= (-4+0)/2 = -2

y value of the midpoint= (2 + -4)/2 = -2/2= -1

Midpoint is (-2, -1)

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3 years ago
Which statement shows the Transitive Property of Equality? a. If AB = CD and AB =EF, then CD is not Equal to EF. b. If AB + BC =
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Evaluate the expression (2x + y) - z when x= 3, y = 4, z =5​
Lapatulllka [165]

Answer:

5

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(2x + y) - z

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2*3 +4 -5

Multiply and divide first

6 +4 -5

Then add and subtract

10-5

5

5 0
2 years ago
Billyana can read 1/2 a page every a minute.How much does billyana read in 1 minute?
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There are nine water bottles in a fridge. Three full boxes are added. Two more boxes are added, both of which have one fewer bot
Degger [83]

The number of bottles in a full box is 12.

<u><em>Explanation</em></u>

Suppose, the number of bottles in a full box is  x

So, the number of bottles in <u>three</u> full boxes =3x

Now, two more boxes are added, both of which have <u>one fewer bottle than the other three</u>. So, the number of bottles in these two boxes = 2(x-1)

As there were 9 bottles initially and now there are 67 bottles in the fridge, <em><u>so the equation will be</u></em>....

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Thus, the number of bottles in a full box is 12.

7 0
3 years ago
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