Answer:
7. parallel: k = 3
perpendicular: k = -4/3
8. $1300
Step-by-step explanation:
7.
Rewrite each equation as the slope-intercept form of a linear equation:
y = mx + b (where m is the slope and b is the y-intercept)
8y = 12x + 6
⇒ 
4y = k(2x + 10)
⇒ 4y = 2kx + 10k
⇒ 
If the graphs are parallel their slopes will be the same.


If the graphs are perpendicular then the product of their slopes will be -1.



8. Create a linear equation, where x is the number of coffee mugs and y is the total cost (in dollars).
Choose 2 ordered pairs from the table: (10, 110) and (20, 195)
Let
= (10, 110)
Let
= (20, 195)
Use the slope formula to find the slope m:

Now use the point-slope form of linear equation:



Substitute x = 150 into the equation and solve for y:

Therefore, the total cost of ordereing 150 mugs is $1300
2) 1320cm squared because you would multiply length x width x height
4) 11.132ft squared because again you multiply length x width x height
Answer:
6+x
6 x
Step-by-step explanation:
The top question mark is 6+x. The bottom left question mark represents 6 unit squares and should be changed to 6. The large block on the right which has unknown value is x. Change the bottom right question mark to x.