What is the answer for this problem number 6 and how do you do it

Mathematics

1 answer:

EleoNora [17]4 years ago

6 0

So you need to add up all the points he scored.
The mean is the average. Divide the total by the number of games he played.

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Ricks family traveled 5/7 of the distance to his grandmother's house on saturday. They traveled 1/2 of the remaining distance on

11Alexandr11 [23.1K]

Answer:

On Sunday they traveled=1/7 of the total distance

Step-by-step explanation:

Total distance to be traveled=x

On Saturday they covered=(5/7)x

Remaining distance=x-(5/7)x=(2/7)x

Sunday=1/2 of the remaining distance=(1/2)×(2/7)x=(1/7)x

On Sunday they traveled=1/7 of the total distance(x)

8 0

3 years ago

Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$