Slope-intercept form:
y=mx+b
m=slope
b=y-intercept
2x+3y=6
3y=-2x+6
y=-2/3 x+6/3
y=-2/3 x+2
Answer: the line in slope-intercept form would be:
y=-2/3 x+2
3/11 is the simplified version of this fraction
2400 in prize money...
the first winner will receive 1/3 of the money..
1/3 * 2400 = 2400/3 = 800
leaving 2400 - 800 = 1600
the next 10 winners will receive 1/10 of the remaining amount
1/10 * 1600 = 1600/10 = 160 <== each will receive $ 160
Step-by-step explanation:
step 1. I guess we assumed the two lines across the transversal are parallel
step 2. 3x + 1 = 85 (definition of alternate exterior angles)
step 3. 3x = 84 (subtract 1 from each side)
step 4. x = 28. (divide both sides by 3)
3a + b = 54...when b = 9
3a + 9 = 54
3a = 54 - 9
3a = 45
a = 45/3
a = 15 <===
