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Eva8 [605]
1 year ago
12

9) In the standard co-ordinate system, which of the following points in the greatest distance from origin? A. (-4, -1) B. (-3, 3

) C. (4,0) D. (2, 3)​
Mathematics
1 answer:
ludmilkaskok [199]1 year ago
7 0

The point with the greatest distance to the origin is given by:

B. (-3, 3).

<h3>What is the distance between two points?</h3>

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The origin is given by point (0,0), hence the distance of a point (x,y) to the origin is given by:

D = sqrt(x² + y²).

Hence the distances for each point given in the problem are:

  • A. Distance = sqrt((-4)² + (-1)²) = sqrt(17).
  • B. Distance = sqrt((-3)² + (3)²) = sqrt(18).
  • C. Distance = sqrt((4)² + 0²) = sqrt(16).
  • D. Distance = sqrt((2)² + 3²) = sqrt(13).

Hence option B has the greatest distance.

More can be learned about the distance between two points at brainly.com/question/18345417

#SPJ1

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Answer:

(-17, -9) reflected across x-axis.

(-15, -9)  ...   ....    ..... ....  .............

(6, 1) reflected across the y axis.

Step-by-step explanation:

In quadrant II   the x coordinate is negative and the y coordinate is positive

(-x, y).

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The numbers are 16 and 4

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The entire graph of the function g is shown in the figure below.
marusya05 [52]

The domain of the function is [-4, 4) and the range of the function is [-5, 2)

<h3>How to determine the domain and the range of the function?</h3>

<u>The domain</u>

As a general rule, it should be noted that the domain of a function is the set of input values or independent values the function can take.

This means that the domain is the set of x values

From the graph, we have the following intervals on the x-axis

x = -4 (closed circle)

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This means that the domain of the function is [-4, 4)

<u>The range</u>

As a general rule, it should be noted that the range of a function is the set of output values or dependent values the function can produce.

This means that the range is the set of y values

From the graph, we have the following intervals on the y-axis

y = -5 (closed circle)

y = 2 (open circle)

This means that the range of the function is [-5, 2)

Read more about domain and range at:

brainly.com/question/10197594

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