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2 years ago

If point A is located at (-3,-1) and there are 10 points between A and B, what could be the possible coordinates for point B?

Mathematics

1 answer:

Nataly [62]2 years ago

7 0

Answer:

Step-by-step explanation:

By drawing the point (-3,-1) in the coordinate plane we find the graph shown below. Since there are 10 points between points A and B, we need to start at point A and then we have to move 11 units either to the right, to the left, up, or down .

1. MOVING TO THE RIGHT:

From point A, move 11 units horizontally to the right to come to point B:

(-3+11, -1) = (8, -1)

2. MOVING TO THE LEFT:

From point A, move 11 units horizontally to the left to come to point B:

(-3-11, -1) = (-14, -1)

3. MOVING UPWARD:

From point A, move 11 units vertically upward to come to point B:

(-3, -1+11) = (-3, 10)

4. MOVING DOWNWARD:

From point A, move 11 units vertically downward to come to point B:

(-3, -1-11) = (-3, -12)

So this are the basic movements you can get to find point B. You also can move diagonally upwards or downwards in whose case you would find other four points. The graph below shows a red point which is A, and the other points are in black color and represent B.

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Kate packs snow into 5 identical jars. Each jar represents a different depth of snow. Kate then lets the snow in each jar comple

Xelga [282]

Answer:

A, C, E

Step-by-step explanation:

From the table you can see that the water depth cahnges

$0.8-0.4=1.2-0.8=1.6-1.2=2.0-1.6=0.4\ in$

for every

$4-2=6-4=8-6=10-8=2\ in$ of snow (option B is false).

This means that the function modelling this situation is linear function (option A is true and option D is false). Let the equation of this function be $y=ax+b.$ Then

$0.4=2a+b,\\ \\0.8=4a+b.$

Subtract these two equations:

$2a=0.8-0.4,\\ \\2a=0.4,\\ \\a=0.2.$

Hence,

$b=0.4-2\cdot 0.2=0.$

The equation of the straight line (the graph of linear function) is $y=0.2x.$ (option E is true) This line passes through the point (0,0), because its coordinates satisfy the equation (option C is true).