When finding the reciprocal, it is basicaly flipping the numerator and denominator of the number. For instance, the reciporcal of 2 is 1/2, because the denominator of 2 would be 1. For an example more straight forward, the reciporacle of 3/5 is 5/3. This applied to the question goes as followed.
1. 3/5 is 5/3
2. 1/4 is 4
3. 1 is 1
Similarly when dividing fractions or an integer to a fraction, the fraction that is dividing the number turns into the reciprocal then you would multiply.
4. 3/(3/4) is 3*4/3= 4
5. 5/(3/4) is 5*(4/3)= 20/3
6. 8/(4/7) is 8*(7/3)= 56/3
7. 6/(3/5) is 6*(5/3)= 10
8. 2/(5/8) is 2*(8/5)= 16/5
9. 4/(8/9) is 4*(9/8)= 9/2
Answer:
14.00
Step-by-step explanation:
add
subtract
divide
multiple
Ax + By = C form of the given equation is –6x + y = –28.
Solution:
Given equation is y – 2 = 6(x – 5).
To write the equation in Ax + By = C format:
y – 2 = 6(x – 5)
y – 2 = 6x – 30
Add 2 on both sides of the equation.
y – 2 + 2 = 6x – 30 + 2
y = 6x – 28
Subtract 6x from both sides of the equation.
y – 6x = 6x – 28 – 6x
y – 6x = –28
Arrange the terms in the equation.
–6x + y = –28
This is in the form of Ax + By = C.
Here A = –6, B = 1 and C = –28.
parallel lines have the same slope
The slope-intercept form of a linear equatio is y=mx+b, where m stands for the "slope of the line" and b stands for the "y-intercept of the line"
They give you the equation y= -5/6x+3 Notice this is already on the slope-intercept form, so in this case the slope is -5/6 and the y-intercept is 3
You want an equation of the line that is parallel to the given line. The slopes must be the same, so m=-5/6
So far we have y=-5/6x + b
We don't have b yet but that can be found using the given point (6,-1) which tells you that "x is 6 when y is -1"
Replace that on the equation y=-5/6x + b and you get
-1 = (-5/6)(6) + b
-1 = -5 +b
4 = b
b = 4
We found b, or the y-intercept
Go back to the equation y = -5/6 x + b and replace this b with the b we just found
y = -5/6x + 4