A triangle has vertices at (3, 3), (6, 15), and (3, -3). What are the coordinates of the orthocenter? A. (-69, 15)
B. (3.5, 3)
C. (4.2)
D. (9, 0)

The answer would be A) (-69, 15)

Solution:

Finding 1st and 2nd

m = (y2 - y1)/(x2 - x1)

m = (15 - 3 )/(6 - 3)

m = 12/3

y = 4x + b

3 = 3(3)+b

3=9+b

-9 -9

-6=b

Finding 3rd

repeat the above process for 1 and 2, so now use 2 and 3 in the equation.

m = -9/3

m=-3

y=-3x+b

15=-3(6)+b

b=-3

Step 2

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

6 spoons of sugar for every 21 cups of flour

step-by-step explanation: