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Black_prince [1.1K]
2 years ago
7

Use complete sentences to describe how measurements of position in two directions (vertical and horizontal) are sufficient enoug

h to describe the position of an object on a flat surface
Mathematics
1 answer:
posledela2 years ago
5 0

Answer:

We know that our world is in 3 dimensions i.e. there are three directions and so, three co-ordinates are required.

Now, if we have to find a position of an object lying on a flat surface, this means that there are only two directions and so, two co-ordinates are needed.

So, we can define the domain ( xy-axis ) in such a way that there are two axis - horizontal where right area have positive values & left area has negative values and vertical where upward side have positive values & downward side has negative values.

For e.g. if we want to find the position of a pen on the table. We will make our own xy-axis and see in which quadrant the pen lies.

Let us say that the pen lies at (2,3), this means that the position of pen is in the first quadrant or it is 2 units to the right of y-axis and 3 units up to the x-axis.

This way we can see that two directions are sufficient to find the position of an object placed on a flat surface.

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Answer:

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Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center of the circle and any point on the circle is equal to the radius of the circle

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

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substitute

r=\sqrt{(7+1)^{2}+(8+7)^{2}}

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r=\sqrt{289}

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step 2

Find out the y-coordinate of point (-15,y)

The equation of the circle in standard form is equal to

(x-h)^2+(y-k)^2=r^2

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substitute the values

(x+7)^2+(y+1)^2=17^2

(x+7)^2+(y+1)^2=289

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(-15+7)^2+(y+1)^2=289

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(y+1)^2=289-64

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(y+1)=(+/-)15

y=-1(+/-)15

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y=-1(-)15=-16

therefore

we have two solutions

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see the attached figure to better understand the problem

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