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2 years ago

What is the answer to this question

Mathematics

1 answer:

My name is Ann [436]2 years ago

5 0

It would be helpful if the picture showed the entire question

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

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

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

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

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

3 0

3 years ago

Please use the following image in order to answer the question correctly:

andriy [413]

Answer:

134 degrees.

Step-by-step explanation:

This is a simple one.

The arc RS subtends an angle of 67 degrees on the circumference,

So the measure of the arc RS is 2 * 67 = 134 degrees.

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3 years ago

Which equation has no soultion

Ronch [10]

Answer:

i dont get your question love

Step-by-step explanation:

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3 years ago

Marcus has 731 books he puts about the same number of books on each of nine shelves in his bookcase about how many books are on

kondaur [170]

Answer:

81.2222 or 81 with 2 left over

Step-by-step explanation:

731/9 = 81.2222

81.2222 rounded down = 81

9*81 = 729

731-729 = 2 left over

This is the third time I am answering the question.

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3 years ago

Use long division to find the value of 1,875 - 15

Georgia [21]

Answer:

1860

Step-by-step explanation:

1875-15 = 1860

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3 years ago