What is the value of the y coordinate of any point on the x axis?

Mathematics

1 answer:

Leona [35]3 years ago

5 0

The value of the y coordinate of any point on the x axis is always 0.

Explanation

Suppose, the co ordinate of any point is $(a,b)$ .

It means, the distance of the point from x-axis is ' $b$ ' and distance from y-axis is ' $a$ '.

Now if the point lies on the x-axis, that means the distance of the point from x-axis will be 0. Thus, the value of ' $b$ ' will be 0.

So, the value of the y coordinate of any point on the x axis is always 0.

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Sam wants to be named the greatest home run hitter of his baseball league. In the past 5 seasons he has hit 24 , 20, 23, 20, and

DIA [1.3K]

Answer:

B. $\frac{H+108}{6}\geq 22$

Sam must hit at least 24 runs in 6th season to qualify for the home run trophy.

Step-by-step explanation:

Let H be number of runs Sam hits in 6th season.

We have been given that Sam wants to be named the greatest home run hitter of his baseball league. In the past 5 seasons he has hit 24, 20, 23, 20, and 21 home runs, respectively.

Let us find the number of runs scored by Sam adding the number of hits in his past 5 seasons.

$\text{5 season score of Sam}=24+20+23+20+21=108$

We are told that to qualify for the home run trophy he must average at least 22 home runs in 6 seasons. So to qualify this season Sam's average must be greater than or equal to 22.

We can represent this information in an inequality as:

$\frac{H+108}{6}\geq 22$

Let us solve our inequality to find the least number of runs Sam must hit to qualify.

Multiplying both sides of our inequality by 6 we will get,

$6\times \frac{H+108}{6}\geq 6\times22$