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2 years ago

Solve the equation using the method of completing the square. 2x^2 + 16 - 8 = 0

Mathematics

2 answers:

Anna [14]2 years ago

6 0

Answer:

x=-4+-2 to the square root 5

Step-by-step explanation:1) Move the "non X" term to the right:

2x^2+16x-8=0 becomes

2x^2 +16x = +8

2) Divide the equation by the coefficient of X² which in this case is 2

x^2 + 8x = 4

3) Now here's the "completing the square" stage in which we:

• take the coefficient of X (which is 8)

• divide it by 2 [8 / 2 = 4]

• square that number [4^2 = 16]

• then add it to both sides of the equation.

x^2 + 8x + 16 = 20

Take the square root of both sides of the equation:

x + 4 = sq root (20)

x = sq root (20) -4

x1 = 4.472135955 -4

x1 = .472135955

x2 = -4.472135955 -4

x2 = -8.472135955

mamaluj [8]2 years ago

3 0

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Jade buys a blouse and a skirt for 34 of their original price. She pays a total of $31.50 for the two items. If the original pri

Shtirlitz [24]

Answer:

`Part A:

D. 3/4(18 + s) = 31.50

Part B:

$36

Step-by-step explanation:

I think 34 is 3/4, is that right?

here, s is the cost of the skirt

Part A: The answer would be:

3/4(18) + 3/4(s) = 31.5 =

3/4(18 + s) = 31.5

Part B: 3/4(18) + 3/4(s) = 31.5

4.5 + 3/4s = 31.5

Subtract 4.5 from both sides:

3/4s = 27, 27 is the cost of the skirt now, but we need the original price.

multiply both sides by 4/3:

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3 years ago

By ignoring your real intersets when choosing a career,you risk spending your work life feeling bored, and dissatisfied.

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Answer: D because it would mess with your feelings

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3 years ago

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polet [3.4K]

52/3 - 10
Convert both numbers into fractions.
52/3 - 10/1
Make sure they both have the same denominator
52/3 - 30/3
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22/3
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3 years ago

If a florist uses 10 red roses in a bouquet , how many white roses did she use?

mr_godi [17]

Answer:

2 white roses.

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Step-by-step explanation:

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2 years ago

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PLSS ANSWER MY QUESTION

Taya2010 [7]

Answer:

1) Area of frame: $140cm^2$ ; Area of picture: $40cm^2$ ; Total Area: $180cm^2$ .

2) Area 1 = $48cm^2$ ; Area 2 = $12cm^2$ ; total area = $60cm^2$ [first answer line : $60cm^2$ ]

Step-by-step explanation:

1. So to answer this question, you have to find the inner photo area first (which you will then subtract from the overall rectangle area to get the photo frame area).

To find area, you multiply length x width. For this question, there are not enough measurements given to initially multiply length and width. So, assuming that the photo is centered on the frame and the frame width is consistent along all sides, you find the difference between the overall length (12) and the picture length (5).

12 - 5 = 7

The leftover area (outside of the picture) is 7 cm (half of seven on both sides), so one side can be assumed to be : 3.5 cm

this means that 15 cm - 3.5 cm of both sides lengths (difference between the two lengths given) is the height of the photo, 15 - 3.5(2) = 8

So, the dimensions/measurements of the photo are 5 cm by 8 cm.

This means that the inner photo area is 40 (5 x 8) cm

The area of the frame will be the area of the total rectangle [12 x 15] - the inner photo area [40]. [ (12)(15) - 40 ]

[180 - 40] = 140 cm

(area is measured in squared units, so the area of the frame should be written as $140cm^{2}$ ; and the area of the photo should be written as $40cm^{2}$ )

The total area is the entire area of the rectangle: (12)(15) = 180. (This should be written as $180cm^2$ )

--------------------------------------

2) Finding the area of a shape that isn't a simple rectangle is easier if you separate the shape into smaller rectangles. I will separate the two rectangles into 4 x 12 and 2 x 6 [6 cm would be the remaining side length if you remove the length of 4].

{you can separate the shape in multiple ways, so my answer is only one answer to this problem out of other splits.}

as mentioned, the area is length x width.

4 x 12 = 48.

2 x 6 = 12. Once again, you should write area in squared units.

(the area 1 should be written as $48cm^{2}$ ; the area 2 should be written as $12cm^2$ )

you can combine the separated areas (add them) to find the total area. 48 + 12 = 60.

(the total area should be written in squared units also, so the total area should be written as: $60cm^2$ )

The area of the figure is $60cm^2$

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2 years ago