She only has made one full quilt and half of another. So 1.5
Answer:
Any one of these three works:
plane MOU
plane MNU
plane NOU
Step-by-step explanation:
A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.
Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.
To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.
plane L can be named
plane MOU
plane MNU
plane NOU
Do not name it plane MNO
Terminated. Any decimal that repeats goes on forever. Such as pie: 3.1415...
Answer:
a) 2
b) -
c) y = 2x + 1
Step-by-step explanation:
a)
First put the equation into slope intersept form (y=mx+b) by...
- Move the variable to the right-hand side and change its sign : -y = -4 -2x
- Change the signs on both sides of the equation: y = 4 + 2x
- Use the commutative property to reorder the terms : y = 2x + 4
Slope intersept form : y = 2x + 4
Parallel lines have the same slope so.... a parallel slope is 2
b)
First put the equation into slope intersept form (y=mx+b) by...
- Move the variable to the right-hand side and change its sign : -y = -4 -2x
- Change the signs on both sides of the equation: y = 4 + 2x
- Use the commutative property to reorder the terms : y = 2x + 4
Slope intersept form : y = 2x + 4
To find a perpendicular slope flip the slope and change the sign : -
c)
First put the equation into slope intersept form (y=mx+b) by...
- Move the variable to the right-hand side and change its sign : -y = -4 -2x
- Change the signs on both sides of the equation: y = 4 + 2x
- Use the commutative property to reorder the terms : y = 2x + 4
Slope intersept form : y = 2x + 4, parellel slope : 2
- Substitute the x and y values with the given ordered pair: 3 = 2(1) + b
- Calculate the product: 3 = 2 + b
- Move the variable to the left-hand side and change its sign: -x = 2 - 3
- Calculate the difference and change the signs : b = 1
Use the slope and y-intersept (b) to write the new line : y = 2x + 4