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worty [1.4K]
2 years ago
6

Find the distance from A(-8,-3,-2) and B(-4,8,0) , find ||AB||

Mathematics
1 answer:
RUDIKE [14]2 years ago
3 0

Answer:

||AB|| = 11.8743

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, (x_1,y_1,z_1) and (x_2,y_2,z_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}

Distance from A(-8,-3,-2) and B(-4,8,0)

||AB|| = \sqrt{(-4-(-8))^2+(8-(-3))^2+(0-(-2))^2}

||AB|| = \sqrt{4^2 + 11^2 + 2^2}

||AB|| = 11.8743

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Answer:

She paid back $192 in interest

Step-by-step explanation:

A = P(1+r)^n

P = $1,200

r = 10.5% = 0.105

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A = 1,200(1+0.105)^1.5 = 1,200(1.105)^1.5 = 1,200×1.16 = 1,392

Amount = $1,392

Principal = $1,200

Interest = amount - principal = $1,392 - $1,200 = $192

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The terminal side of an angle measuring pi/6 radians intersects the unit circle at what point?
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3628800

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2 years ago
PLZ HELP ME, DUE RN!!
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Answer:

Step-by-step explanation:

For us to determine the friends that live exactly halfway between any two other friends, we need to determine the midpoint of any two of the coordinates and check whether the coordinate gotten is any of other people coordinates.

Using the coordinates B (22,5)  and Ju (4,5), Using the mid point formula;

m(X,Y) = (\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})\\

X = \frac{x_2+x_1}{2}

X = \frac{22+4}{2}

X = \frac{26}{2}\\ X = 13

Y =\frac{y_2+y_1}{2}\\Y = \frac{5+5}{2}\\Y = \frac{10}{2}\\Y = 5

(X, Y) = (13, 5)

Hence the friend that live half way of B (22,5)  and Ju (4,5) is J(13, 5)

Similarly as above, using the coordinates of M (11,5) and A  (31,5)

X = (11+31)/2

X = 42/2

X = 21

Y = (5+5)/2

Y = 10/2

Y = 5

Midpoint of both friends is (21, 5)

Hence the friend that live half way of M (11,5)  and A (31,5) is Ma(21, 5)

Also, using the coordinates of J (13,5)  and A  (31,5)

X = (13+31)/2

X = 44/2

X = 22

Y = (5+5)/2

Y = 10/2

Y = 5

Midpoint of both friends J and A is (22, 5)

Hence the friend that live half way of J (13,5)  and A (31,5) is B(21, 5)

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