Answer:
y = (7/3)x - 9
Step-by-step explanation:
1. Convert given equation to y=mx+b form --> y = (7/3)x - 5/3
2. Equation of new line --> y = (7/3)x + b
- Note: 7/3 is the slope and for lines to be parallel they need the same slope so both equations have 7/3.
3. Plug in given values --> 5 = (7/3)(6) + b
4. Solve for b --> b = 5 - 14 b = -9
5. New line --> y = (7/3)x - 9
Answer:
900 yd²
Step-by-step explanation:
You can draw the pattern that would need to be folded to make the figure, then find the area of that pattern (or "net"). It consists of a rectangle 10 yards wide and 60 yards long, together with another that is 20 yards long and 15 yards wide. The total area is the sum of these ...
... area = (60 yd)(10 yd) + (20 yd)(15 yd)
... = 600 yd² +300 yd²
... = 900 yd²
Answer: ( 11, -2 )
Step-by-step explanation:
The mid point of a line is calculated using the formula:
M = ( , )
From the question , the mid point is already given , substituting , we have :
(5 , - 7.5 ) = ( , )
Equating the x component to x and the y component to y , we have
5 =
x - 1 = 10
x = 11
Also
- 7.5 =
-15 = y - 13
-15 + 13 = y
Therefore : y = -2
Therefore : the location of point P is ( 11, -2 )