Answer:
9 yards
Step-by-step explanation:
Let the length of each quilt be 'l'.
Given:
Length of green felt (g) = 15 yards
Length of blue felt (b) = 12 yards
Total number of quilts = 3
Now, the length of 3 quilts is given as:
----- (1)
As per question:
Total length = Length of green felt + Length of blue felt
Total length = 
--------- (2)
Now, comparing equations (1) and (2), we get:

Hence, each quilt measures 9 yards in length.
The answer that you have is most likely right, since the grouping did not change.
Answer:
x =3
Step-by-step explanation:
3(4x + 4) = 2(5x+9) - 12
First step is to open the brackets by multiplying. It becomes
3×4x + 3×4 = 2×5x + 2×9 -12
12x + 12 = 10x + 18 - 12
Collecting like terms on the right hand side and left hand side of the equation, it becomes
12x -10x = 18 -12 -12
2x = -6
Negative sign on the right hand side of the equation overwhelms the positive sign on left hand side of the equation. It becomes
2x = -6
x = -6/2 = -3
Checking
3(4×-3 + 4) = 2(5×-3+9) - 12
-24 = -12-12= -24
So x = -3
Answer:
Direction : Open Down
Vertex : (3,4)
Focus : (3,15/4)
Axis of Symmetry : x=3
Directrix : y=17/4
x : 1,2,3,4,5
y : 0,3,4,3,0
Step-by-step explanation: Graph the parabola using the direction, vertex, focus, and axis symmetry. Graph is included down below!
Hope this helps you out! ☺
Answer:
Arithmetic Sequence
Step-by-step explanation:
we know that
In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, and this constant is called the common difference
we have

Let




so
the difference between one term and the next is a constant
The common difference is equal to 1
This is an Arithmetic Sequence