Answer:
4y = 6x + 40
Step-by-step explanation:
The general equation of a straight line is y = mx + b
m is the slope and b is the y-intercept
let us write both equations in this form;
we have this as;
6y = -4x + 1
y = -4x/6 + 1/6
and;
2x + 3y = 18
3y = -2x + 18
y = -2x/3 + 6
So firstly we want to find an equation that is perpendicular to the first
When two lines are perpendicular, their slopes has a product of -1
The slope of the first line is -4/6
let the slope of the line we want be m
As per they are perpendicular;
-4/6 * m = -1
-4m/6 = -1
-4m = -6
m = 6/4
So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6
we can choose 10
and we have the equation as:
y = 6x/4 + 10
multiply through by 4
4y = 6x + 40
Answer: 2x^3+4x+4 would be the answer.
Step-by-step explanation: x^2 can only be combines with another variable with the same exponent. Then you just multiply the whole equation by 2. Hope this helps!
This is how I would do it;
Convert to minutes 3/5 *60 = 36
Convert this to decimal 2/5 = 0.4
Then;
if it takes 36 mnts to paint 0.4yd^
in 60 mnts x yd^
___________________
60 x 0.4 / 36 = 0.66666667
convert back to fraction = 2/3 yd^ in 1hr
Answer:
-7x - 4
Step-by-step explanation:
(-7 x 2) - 6x + 9 + (-3 x 2) - x + 7
-14 - 6x + 9 - 6 - x + 7
-7x - 4
Answer:
2.89
Step-by-step explanation:
Note the equal sign, what you do to one side of the equation, you do to the other. To solve, do the opposite of PEMDAS. Isolate the variable, z.
First, subtract 12 from both sides:
25 = 4.5z + 12
25 (-12) = 4.5z + 12 (-12)
25 - 12 = 4.5z
13 = 4.5z
Isolate the variable, z. Divide 4.5 from both sides:
(13)/4.5 = (4.5z)/4.5
z = 13/4.5
z = ~2.89 (rounded).
2.89 is your answer.
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