Mathematics, 29.05.2020 00:58 Gheaton1889

Point A is at (-7,-7) and point M is at (-6,-1). Point M is the midpoint of point A and B. What are the coordinates of point B?

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Answer from: MJyoungboy

The coordinates of point B are (-5, 5).

Given that,

Point A is at (-7,-7), and points M is at (-6,-1).

Point M is the midpoint of points A and B.

We have to determine,

What are the coordinates of point B?

According to the question,

Point A (x_1, y_1) and point B (x_2, y_2) be the ending point of the line segment.

The midpoint formula of a line segment joining these two points is given as:

$\rm Midpoint \ of \ point \ (A, \ B) = \left( \dfrac{x_1+y_1}{2} , \ \dfrac{x_2+y_2}{2} \right )$

Then,

Let the coordinates of point B be (x, y),

Point A is at (-7,-7), and points M is at (-6,-1).

Point M is the midpoint of points A and B.

Therefore,

The coordinates of point B is,

$\rm y_1 = \dfrac{x_1+x}{2} \\\\-6 = \dfrac{-7+x}{2} \\\\-6 \times 2= -7 + x\\\\-12 = -7 + x \\\\ x= -7+12\\\\ x = -5$

And,

$\rm y_2 = \dfrac{x_2+y}{2} \\\\-1 = \dfrac{-7+y}{2} \\\\-1 \times 2= -7 + y\\\\-2 = -7 +y_2 \\\\y= 7-2\\\\y = 5$

Hence, The coordinates of point B are (-5, 5).

For more details refer to the link given below.

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Answer from: reneecoutinho10

(-5,5)

Step-by-step explanation:

For point (x1,y1) and (x2,y2) on a coordinate plane ,

coordinate of midpoint is given by (x1+x2)/2, (y1+y2)/2

In the problem

point A(-7,-7)

let point B be (x,y) thus

midpoint point M for AB will be (-7+x)/2, (-7+y)/2

It is given that M is(-6,-1)

hence (-7+x)/2, (-7+y)/2 will be same as (-6,-1)

Thus,

(-7+x)/2 = -6 and (-7+y)/2 = -1

=> -7+x = -6*2 => -7+y = -1*2

=> -7+x = -12 => -7+y = -2

=> x = -12+7 => y = -2+7

=> x = -5 => y = 5

Thus, coordinates of point B is (x,y) = (-5,5)

Answer from: Quest

If gravity is one third on mars then weight also one third on mars

Answer from: Quest

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

$\tan\left(x\right)=\frac{\left[altitude\right]}{\left[base\right]}=\frac{p}{r}$

$\tan\left(x\right)=\frac{p}{r}$

$\frac{p}{r}=tan(x)$

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

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Point A is at (-7,-7) and point M is at (-6,-1). Point M is the midpoint of point A and B. What are...

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