3 years ago

Model 3 + (-4) on the number line

Mathematics

1 answer:

klemol [59]3 years ago

4 0

So all your doing is going 3 jumps to the positive side and 4 jumps to the negative side.

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Point B has coordinates (4,1). The x-coordinate of point A is -4. The distance between point A and point B is 10 units. What a

klasskru [66]

Given:

Point B has coordinates (4,1).

The x-coordinate of point A is -4.

The distance between point A and point B is 10 units.

To find:

The possible coordinates of point A.

Solution:

Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).

Distance formula:

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

The distance between point A and point B is 10 units.

$\sqrt{(4-(-4))^2+(1-y)^2}=10$

Taking square on both sides, we get

$(8)^2+(1-y)^2=100$

$(1-y)^2=100-64$

$(1-y)^2=36$

Taking square root on both sides, we get

$(1-y)=\pm \sqrt{36}$

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$y=1\mp 6$

$y=1-6$ and $y=1+6$

$y=-5$ and $y=7$

Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).

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2 years ago

You stand 20 feet from a flagpole and sight the top at a 40 degree angle of elavatuon. How tall is the pole?

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Tan 40 = h / 20 where h = height of the pole.

h = 20 tan 40 = 16.78 feet

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