Answer:
y = 27/7
Step-by-step explanation:
Perform the indicated multiplication:
3(4y-7)=15y+6 becomes:
12y - 21 = 5y + 6
Combining like terms, we get:
7y = 27, so that y = 27/7
-5/8
.....................
- Slope Formula:

So remember that <u>perpendicular lines have slopes that are negative reciprocals to each other</u> and <u>parallel lines have the same slope.</u> To find out if they are either parallel or perpendicular, plug the pair of points into the slope formula to find their slopes:

Since these slopes aren't the same nor are they negative reciprocals to each other, <u>the lines are neither parallel nor perpendicular.</u>
Answer:
5 ft, 6.5 ft, 7 ft
Step-by-step explanation:
area of trapezoid = (base1 + base2)h/2
Let the unknown base = x
area of trapezoid = (8.5 + x)(6)/2
area = 3x + 25.5
We want the area to be between 40 ft^2 and 48 ft^2.
40 < 3x + 25.5 < 48
14.5 < 3x < 22.5
4.8333 < x < 7.5
Answer: 5 ft, 6.5 ft, 7 ft