Find the equation of the first line using the two given points: (1,-1) (-1,-5)
Slope = change in Y over change in x:
Slope = (-5-(-1)) / (-1-(1) = -4/-2 = 2
Now find y intercept: y - y1 = m(x-x1) = y -(-1) = 2(x-1)
Simplify to get y = 2x-3
Now a perpendicular line has a opposite reciprocal slope.
The perpendicular line would be y = -1/2x - 3
You are told the y intercept is -4 units greater, so add -4 to -3 to get -7
The answer would be A. y = -1/2x-7
11/16/9= is 11÷16÷9 which is approximately 0.076
Answer:
x>-2
Step-by-step explanation:
3(x + 4) > 4 - X
Distribute
3x+12> 4-x
Add x to each side
3x+12+x > 4-x+x
4x+12 > 4
Subtract 12 from each side
4x+12-12>4-12
4x> -8
Divide each side by 4
4x/4 > -8/4
x>-2
31.+ addition
32. - subtraction
Step-by-step explanation:
Choosing 4 digits out of 10 = 10C4 = 210.
Arranging the 4 digits in 4 places = 4!
Total number of ways to arrange digits
= 210 * 4! = 5040.
Choosing 2 letters out of 26 = 26C2 = 325
Arranging the 2 letters in 2 places = 2!
Total number of ways to arrange letters
= 325 * 2! = 650.
Total number of possible license plates
= 5040 * 650 = 3,276,000.
