Answer:
y =
x +
or 12y = 9x -32 or y - 1/3 =3/4(x-4)
Step-by-step explanation:
The equation of a line in the slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.
The other form is the point-slope form where the point (x₁, y₁) and a slope m are given, and you have to plug it into formula:
y – y₁ = m(x – x₁)
Here:
y - 1/3 =3/4(x-4)multiply both sides by 12 to loose fraction
12y -4 = 9(x-4) distribute
12y -4 = 9x -36 add 4 on both sides
12y = 9x -32 divide by 12
y =
x +
simplify factions
y =
x + 
9514 1404 393
Answer:
970
Step-by-step explanation:
It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...
(5 +2√6)³ +1/(5 +2√6)³ = 970
_____
The cube of 'a' is ...
(5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³
= 125 +3·50√6 +3·120 +48√6
a³ = 485 +198√6
The reciprocal of this is ...
b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1
b³ = 485 -198√6
Then the sum is ...
a³ +b³ = (485 +198√6) +(485 -198√6) = 970
Add them all around the top pointing down
Answer:
y=-2/3 x +4
Step-by-step explanation:
slop = (6-0)/(-3-6)= -2/3
c= 4 (when x =0)
line equation:
y= mx + c
y=-2/3 x +4
(5x-2) + (2x+6) = 67, so we simplify and solve for x:
7x + 4 = 67 --> 7x = 63 --> x = 9
Now we substitute 9 for x in (5x-2):
5(9) - 2 --> 45 - 2 = 43
The distance between A and B is 43 miles.
Hope this Helps!
Brainliest Please!