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
(1,10)(-3,2)
slope = (2-10) / (-3-1) = -8/-4 = 2
y = mx + b
slope(m) = 2
(1,10)...x = 1 and y = 10
now we sub and solve for b, the y int
10 = 2(1) + b
10 = 2 + b
10 - 2 = b
8 = b
equation is : y = 2x + 8.....or 2x - y = -8
Answer : 2ab^3+4a^2b-5ab+5
He bought 19/24 pounds of grapes.
3 5
------- + ------- = 0
8 12
In adding fractions.
Step 1: make sure the denominators are the same. 8 and 12 are not the same. But both are factors of 24.
8 * 3 = 24
12 * 2 = 24
Multiply both numerator and denominator of 3/8 by 3 and 5/12 by 2.
3 * 3 5 * 2 9 10
--------- + ------------- = -------- + ---------
8 * 3 12 * 2 24 24
Step 2. Since the denominator is now the same, add the numerator and put it over the denominator.
9 + 10 19
---------- = -------
24 24
Step 3. Simplify the fraction.
19
----
24 is already the simplified form.
Answer:
58.5 Minutes
Step-by-step explanation:
