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BartSMP [9]
3 years ago
15

Point A is at (-1,-9) and Point B is at (2,4). What is the midpoint of line segment AB

Mathematics
2 answers:
spin [16.1K]3 years ago
7 0

Answer:

The answer to your question is (1/2, -5/2)

Step-by-step explanation:

Data

A = (-1, -9)

B = (2, 4)

Formula of midpoint

   Xm = (x1 + x2) / 2

   Ym = (y1 + y2)/2

x1 = -1    y1 = -9    x2 = 2  y2 = 4

To solve this problem just substitute the values in the formula and simplify.

   Xm = (-1 + 2) / 2

   Ym = (-9 + 4) / 2

-Simplify

  Xm = 1/2

  Ym = -5/2

-Solution

 Midpoint (1/2, -5/2)

Mkey [24]3 years ago
6 0

Answer:

Midpoint( .5,-2.5)

Step-by-step explanation:

To find the midpoint, add the x coordinates and divide by 2 and then add the y coordinates and divide by 2

x:  (-1+2)/2 = 1/2=.5

y: (-9+4)/2 = -5/2 = -2.5

Midpoint( .5,-2.5)

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4 years ago
1a) Use the pythagorean theorem tofind the missing side length.
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Answer:

1)

a)

We are given one leg of triangle as 6 km and the other leg is of length of 8 km.

Hence, the hypotenuse is calculated using Pythagorean theorem as:

x^2=8^2+6^2\\\\\\x^2=64+36\\\\x^2=100\\\\x=10

Hence, the hypotenuse of the triangle or the missing side x=10 cm.

Now we calculate trignometric  ratio with respect to angle a and b as:

b)

We know that:

Sine of an angle is ratio of perpendicular to hypotenuse.

Cosine of an angle is ratio of base and hypotenuse.

And tangent of an angle is ratio of perpendicular and base.

<u>Angle a:</u>

We have perpendicular=8

Base=6

Hypotenuse=10

Hence,

sin a=8/10

cos a=6/10

tan a=8/6

<u>Angle b:</u>

Perpendicular =6

Base=8

Hypotenuse=10

Hence,

sin b=6/10

cos b=8/10

tan b=6/8

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