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IgorC [24]
3 years ago
8

Square root of x-5 +7=11

Mathematics
1 answer:
Nitella [24]3 years ago
7 0

x=21 when you make it a square root> your welcome

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Both roots of x^2 + Nx + 144 are equal to each other. Find all the possible values of N.
Amanda [17]

Answer:

N=+24,-24

Step-by-step explanation:

Well this is a quadratic equation and we can make further deductions using it's discriminant

b²-4ac=0

N²-4(1×144)=0

N²-576=0

N²=576

N=√576

N=+24,-24

6 0
2 years ago
Rewrite the equation by completing the squares x^2-x-20
yuradex [85]

Answer:  x = ¹/₂ ± √⁸¹

                     ------------

                            2

Step-by-step explanation:

First write out the equation

x² - x - 20

Now we now write the equation by equating to 0

x² - x - 20 = 0

We now move 20 to the other side of the equation. So

x² - x    =  20,

We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes

x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²

x² - ( ¹/₂ )²       = 20 + ¹/₄

( x - ¹/₂ )²       = 20  + ¹/₄, we now resolve the right hand side expression into fraction

( x - ¹/₂ )²          =  ⁸¹/₄ when the LCM is made 4

Taking the square root of both side to remove the square,we now have

x - ¹/₂               =  √⁸¹/₄

x - ¹/₂               =     √⁸¹/₂

Therefore,

                    x = ¹/₂ ± √⁸¹

                          -----------

                               2

3 0
3 years ago
Assume a plane is flying directly north at 200 mph, but there is a wind blowing west at 23 mph. Part I: Express both the velocit
yuradex [85]
Define i  as a unit vector in the eastern direction.
Define j as a unit vector in the northern direction.

Part I
Because the wind is blowing west, its velocity vector is
 -23i mph or as (-23, 0) mph
Because the plane is traveling north, its velocity vector is
  200j mph or as (0, 200) mph 

Part II
The actual velocity of the plane is the vector sum of the plane and wind velocities.
That is,
200j - 23i or (-23, 200) mph

Part III
The ground speed of the plane is the magnitude of its vector.
The ground speed is
√[200² + (-23)²] = 201.32 mph

The ground speed of the plane is 201.3 mph (nearest tenth)

Not:
The direction of the plane is
 tan⁻¹ 23/200 = 6.56° west of north.


7 0
3 years ago
Explain how to find the range of a data set. What is an advantage of using the range as a measure of​ variation? What is a​ disa
Eduardwww [97]

Answer:

1) The range is found by subtracting the minimum data entry from the maximum data entry.

2)  It is easy to compute.

3)  It uses only two entries from the data set.    

Step-by-step explanation:

We are given the following information in the question:

1) Range is difference between the highest value and the lowest value of the data.

  • To find the range we first arrange the data in the increasing order and then select the highest and the lowest value of the data, Then the lowest value is subtracted from the highest value to find the range.

Option A) The range is found by subtracting the minimum data entry from the maximum data entry.

2) Advantage of range as a measure of variation.

  • Since the method to calculate range of a data set is very easy, it is one of the advantages to use range as a method of variation.

Option B)  It is easy to compute.

3) Disadvantage of range to use as a method of variation.

  • The disadvantage of using range is that it does not measure the spread of the data set
  • It only measures the spread between highest and lowest data points in data set.

Option C) It uses only two entries from the data set.

4 0
2 years ago
2x + 10<br> 600<br> Vocabulary:<br> Equation:<br> Solve for :
aleksandr82 [10.1K]
The answer would be 295
3 0
3 years ago
Read 2 more answers
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