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never [62]
3 years ago
9

Solve the following quadratic by completing the square. y = x2 – 8x + 5

Mathematics
2 answers:
4vir4ik [10]3 years ago
7 0

Answer:

x = 4  ± √11

Step-by-step explanation:

hello :

x²-8x+5=  x² -2(4 )(x)+5

 x²-8x+5=  x² -2(4 )(x)+5 =  ( x² -2(4 )(x) +4²) -4²+5

                                      = (x-4)²-11 .....(   completing the square )

    x²-8x+5= 0   means :      (x-4)²-11 = 0

      (x-4)²=11      but : 11 =   (√11)²  =  ( - √11)²

x-4 =√11   or    x-4 =  -√11

x = 4  ± √11                                                  

pashok25 [27]3 years ago
5 0

Answer:

x = 4 ± \sqrt{11}

Step-by-step explanation:

To solve the equation let y = 0 , that is

x² - 8x + 5 = 0 ( subtract 5 from both sides )

x² - 8x = - 5

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = - 5 + 16

(x - 4)² = 11 ( take the square root of both sides )

x - 4 = ± \sqrt{11} ( add 4 to both sides )

x = 4 ± \sqrt{11}

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Rectangle 30 ft wide and 70 feet long. How long would diagonal corners be?
jonny [76]

Answer:

around 76.16

Step-by-step explanation:

30 squared + 70 squared = 5800

square root of 5800 = 76.16

a squared + b squared = c squared

5 0
3 years ago
In a Gallup poll of randomly selected​ adults, 66% said that they worry about identity theft. For a group of 1013​ adults, the m
Lady_Fox [76]

Answer: 669

Step-by-step explanation:

Given, In a Gallup poll of randomly selected​ adults, 66% said that they worry about identity theft.

i.e. The proportion of adults said that they worry about identity theft. (p) = 0.66

Sample size : n= 1013

Then , Mean for the sampling distribution of sample proportion  = <em>np</em>

= (1013) × (0.66)

= 668.58 ≈ 669  [Round to the nearest whole number]

Hence, the mean of those who do not worry about identify theft is closest to​ 669 .

7 0
3 years ago
X 1/2 rational exponent
Lesechka [4]

Answer:

Step-by-step explanation:

Ok

7 0
3 years ago
Please, someone, help with this question. This is my last question.
Leya [2.2K]

Answer:

4.43 inches

Step-by-step explanation:

The volume of the hot tub is

V = l*w*h

We are given the volume in gallons which we need to convert to cubic inches

1 gallon = 231  in^3

350 gallons *231 in ^3/1 gallon = 80850 in ^3

Substituting in what we know, we can find the height of the tub

80850 = 76*60 *h

17.76026316 is the height of the tub

If the tub is 1/4 full

We take 1/4 of the height

1/4 * 17.76 = 4.432565789

The approximate height of the water is 4.43 inches

3 0
3 years ago
Kate's father is 32 years older than Kate is. In 5 years, he will be five times older. How old is Kate?
Sedbober [7]

In 5 years, the ratio of their ages will be 5:1, so the difference in their ages will be 4 ratio units. Those 4 units correspond to 32 years, so each unit corresponds to 32/4 = 8 years.

Thus, in 5 years, Kate will be 8 and her father will be 40. Right now, Kate is ...

... 8 - 5 = 3 years old.

_____

<em>Using equations</em>

Let k represent Kate's current age. Then in 5 years Kate will be k+5, and we will have ...

... 5(k+5) = (k+5)+32 . . the relationship betewen their ages in 5 years

... 5k +25 = k +37 . . . . eliminate parentheses

... 4k = 12 . . . . . . . . . . . add -25-k

... k = 3 . . . . . . . . . . . . . divide by 4

Kate is 3 years old.

3 0
2 years ago
Read 2 more answers
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