point 1 = ( -1 , 5 ) point 2 = ( 5 , -5 )
equation of a line: y = mx + b
Find Slope (m):
( 5 - (-5)) / (-1 - 5))
= 10 / -6
= -3 / 2
slope = -3/2
Find y-intercept (b):
y = mx + b
y = -3/2 * x + b
5 = -3/2 * -1 + b <-------------- use the x and y coordinate of one of the . points. I used point 1 ( -1 , 5 )
b = 7/2 or 3.5
Assemble:
y = -3/2 * x + 3.5
U can simplify each number to the bottom. Then determine which number pair u can take out. Put those outside of the square too sign. Numbers with out a pair must stay inside the square room
Answer:
Your system of equation:
n + d = 24
5n + 10d = 185
Step-by-step explanation:
Let:
nickels = $0.05; amount of dimes = n
dimes = $0.10; amount of dimes = d
There are 24 coins in all:
n + d = 24
Note the amount each coin is worth. The total value is $1.85
0.05n + 0.10d = 1.85
Move the decimal point to the right for each term.
0.05n = 5n
0.10d = 10d
1.85 = 185
5n + 10d = 185 is your new equation.
Your system of equation:
n + d = 24
5n + 10d = 185
~
Answer:
x = -13/3 or -4 1/3 or - 4.333...333
Step-by-step explanation:
-5x - 16 = 8x - 3
-16 = 8x - 3 - 5x
-16 + 3 = 8x - 5x
-13 = 3x
x = -13/3 or -4 1/3 or - 4.333...333
... represents that it has infinite amount of 3's
