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4 years ago

What is the approximate distance between the points (-2, 3, -5) and (2, -7, 4)?

1 answer:

tatiyna4 years ago

4 0

To approximate the distance of points with three dimension, make use of the equation,

d = sqrt ((x2 - x1)^2 + (y2 - y1)^2 +(z2 - z1)^2)

Substituting all the data from the points given,

<span>d = sqrt ((2 - -2)^2 + (-7 - 3)^2 +(4 - -5)^2) = sqrt 197
</span>
Thus, the distance from the points is approximately 14.04 and that is letter D.

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Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)

Mnenie [13.5K]

One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
$(x-h)^2+(y-k)^2=r^2$
the center is (h,k) and the radius is r

and the distance formula is
distance between $(x_1,y_1)$ and $(x_2,y_2)$ is
$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle

so
$(x+2)^2+(y-3)^2=18$
$(x-(-2))^2+(y-3)^2=(\sqrt{18})^2$
$(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2$

the radius is $3\sqrt{2}$
center is (-2,3)

find distance between (8,4) and (-2,3)

$D=\sqrt{(8-(-2))^2+(4-3)^2}$
$D=\sqrt{(8+2)^2+(1)^2}$
$D=\sqrt{10^2+1}$
$D=\sqrt{100+1}$
$D=\sqrt{101}$

$r=3\sqrt{2}$ ≈4.2
$D=\sqrt{101}$ ≈10.04

do r<D

(8,4) is outside the circle

6 0

4 years ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

Alika [10]

Your answer is 5173.

6 0

3 years ago

Hewp..Pls

timofeeve [1]

Answer:

2y+4x=12

2*1+4*8=12

2+32=12

35=12

7 0

3 years ago

A machine puts lids on 45 jars per minute

likoan [24]

Answer:

1,350

Step-by-step explanation:

45*30=1,350

6 0

3 years ago

Read 2 more answers

What is the coefficient of the variable in the expression 6-4x-8x+2

Daniel [21]

I think the trick is to add the two middle terms together. (And the 2 end terms).

8 - 12x

The variable is x. The coefficient is - 12.

8 is a constant.

The coefficient always goes with a variable.

3x^2 + 2x + 5

Nothing can be combined. The leading coefficient is 3 (which goes with the greatest power of the variable x^2 in this case) and the other coefficient is 2. 5 is a constant.

6 0

3 years ago