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bekas [8.4K]
3 years ago
14

Express x^2+4x-7 in the form (x+a)^2-b where a and b are integers

Mathematics
1 answer:
lukranit [14]3 years ago
4 0

Answer:

(x + 2)^2 - 11.

Step-by-step explanation:

f(x) = x^2 + 4x - 7

Now x^2 + 4x = (x + 2)^2 - 4 so we have:

f(x) = (x + 2)^2 - 4 - 7

f(x) = (x + 2)^2 - 11.

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Nezavi [6.7K]
A) x^2 + y^2 = 80
B) x * y = 12

What is x^2 -y^2?
B) x * y = 12
So y = 12 / x
A) x^2 + (12/x)^2 = 80
x^2 + (12/x)^2 = 80
x^2 + (144/x^2) = 80
Multiplying each side by x^2
x^4 + 144 = 80x^2
x^4 -80x^2 + 144 = 0
X = 1.355 (found by trial and error)
Y = <span> <span> <span> 8.85608</span></span></span> (found by trial and error)

3 0
3 years ago
PLEASE HELP! I don't understand this question!
pantera1 [17]

Answer:

Its the first choice: right, scalene.

Step-by-step explanation:

It is a right angled triangle, (indicated by the little square at Q).

The sides have different lengths so it scalene.

8 0
3 years ago
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Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north o
My name is Ann [436]

Answer:

≈11.4

Step-by-step explanation:

We know that, Ryan lives 2 blocks west and 5 blocks south of Devin

=> Coordinate of Ryan: (-2,-5). Because:

  • 2 blocks west = 2 unit to the left = -2
  • 5 blocks south = 5 unit go down= -5

Andy lives 7 blocks east and 2 block north of Devin.

=>Coordinate of Andy: (7,2), because:

  • 7 blocks east = 7 unit ti the right = 7
  • 2 block north = 2 unit go up = 2

Hence, to find out the distance of Ryan and Andy, we use distance formula as below:

\sqrt{(2+5)^{2} + ((7+2)^{2} }  ≈11.4

3 0
3 years ago
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lesantik [10]

Answer:

What is the circumference of a circle whose radius is 20 feet? Leave answer in terms of π.  

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B)  20π feet  

<u> C)  40π feet  </u>

 D)  100π feet

Step-by-step explanation:

circumference = 2πr

circumference=2×π×20

circumference=40π

5 0
3 years ago
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Suppose that--in any given time period--a certain stock is equally likely to go up 1 unit or down 1 unit, and that the outcomes
Leviafan [203]

Answer:

x =45 and y = 23

Step-by-step explanation:

6 0
3 years ago
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