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Eddi Din [679]
3 years ago
12

Points A and B on the coordinate grid below show the positions of two midfield players of a soccer team: Coordinate grid shown f

rom negative 4 to positive 4 on x-axis and negative 4 to positive 4 on y-axis. From the origin, point A is located 1 unit to the left and 3.5 units down. From the origin, point B is located 1 unit to the right and 3.5 units down. Which statement best describes the relationship between the positions of the two midfield players?
Mathematics
2 answers:
katovenus [111]3 years ago
5 0

Answer:

B is A reflected across the y-axis; only the signs of the x-coordinates of A and B are different.

Step-by-step explanation:

Consider the provided information.

It is given that positions of the coordinates of A and B :

From the origin, point A is 1 units to the left and 3.5 units down.

1 units left of the origin is the negative value of x i.e x = -1 and 3.5 units down origin is y = -3.5

Therefore, the coordinates of A is (-1, -3.5).

From the origin, point B is 1 units to the right and 3.5 units down.

1 units right of the origin is x = 1 and 3.5 units down origin is y = -3.5

Therefore, the coordinates of B is (1, -3.5).

We can see that x-coordinates of A and B are opposite in sign.

The reflection over y axis is gives us the opposite sign of x coordinate.

Therefore, B is A reflected across the y-axis; only the signs of the x-coordinates of A and B are different.

gavmur [86]3 years ago
4 0

Answer:

Point B is the correct answer. For the best relationship between the positions of the two midfielders.

Step-by-step explanation:


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Six football players, all defensive linemen, decide that they'll gain an average of 10 pounds over the summer. At the start of t
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Answer: b. 14 pounds

Step-by-step explanation:

Formula to calculate average :

\text{Average}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}

Let x denotes the number of pounds the last person have to gain so that the group can attain its goal.

Required average = 10  pounds

Observations = 9, 13, 11, 6, 7 and x (pounds)

Number of observations= 6

Sum of all observations = 9+13+ 11+ 6+7+x=46+x

According to the question , we have

10=\dfrac{46+x}{6}\\\\ 46+x=10\times6\\\\ 46+x=60\\\\ x=60-46=14

i..e the last person has to gain 14 pounds so that the group can attain its goal.

Hence, the correct answer is b. 14 pounds .

7 0
4 years ago
What is 8 times 6 times 10 equals
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Answer: 480

Step-by-step explanation:

8x6x10=480

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3 0
3 years ago
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IRINA_888 [86]

Answer:

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 ) = 0.02145 = 2.1 %</em>

<u>Step-by-step explanation</u>:

<u><em>Explanation</em></u>:-

Given mean of the Population 'μ ' = 51 months

Standard deviation of the Population 'σ' = 11 months

Let 'X' be the random variable of Normal distribution

<em>Let    'X'  = 73</em>

<em></em>Z = \frac{x-mean}{S.D} = \frac{73-51}{11} = 2<em></em>

<em>Let  'X' = 84</em>

<em></em>Z = \frac{84-51}{11} = 3<em></em>

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 )      = P( 2 < Z < 3)</em>

<em>                               = P( Z<3) - P( Z <2)</em>

<em>                              =  0.5 + A(3) - ( 0.5 + A(2))</em>

<em>                             = A(3) - A( 2)</em>

<em>                             = 0.49865 - 0.4772     ( From Normal table)</em>

<em>                             = 0.02145</em>

<em>  P( 73 < x < 84 ) = 0.02145</em>

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 ) = 0.02145 = 2.1 %</em>

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