3 years ago

The midpoint of a segment is (6,−4) and one endpoint is (13,−2). Find the coordinates of the other endpoint.

Mathematics

1 answer:

Veronika [31]3 years ago

3 0

Answer:

(-1,-6)

Step-by-step explanation:

(13 + x)/2 = 6

13+x= 12

x = -1

~~~~~~~~~~~~~~~

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

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Solve with matrices. <br><br> 5x -3y = 18 and 2x + 7y = -1

muminat

We'll use Cramer's rule for 2 equations:

ax + by = e

cx + dy = f

5x -3y = 18 a=5 b=-3 e=18

2x + 7y = -1 c=2 d=7 f=-1

denominator determinant (dn) = (a * d) - (c * b) = 5 * 7 - (2 * -3) = 41

x = [(e * d) - (f * b)] / dn

[18 * 7 - (-1 * -3)] / 41 =

123 / 41 = 3

y = [(a * f) - (c * e)] / dn

= (5 * -1) -(2 * 18) / 41 =

-41 / 41 = -1

Source:

1728.com/cramer.htm

6 0

3 years ago

Find the area of the rectangle below multiplying its length and width (5x-4)(2x-5)

Serhud [2]

Use the FOIL method to multiply these terms. Multiply the first, outside, inside, and last terms:

(5x - 4)(2x - 5)

(5x)(2x) + (5x)(-5) + (-4)(2x) + (-4)(-5)

10x² - 25x - 8x + 20

10x² - 33x + 20

The area of the rectangle should be 10x² - 33x + 20.