Answer:
x = (32y - 3)/6
Step-by-step explanation:
1. Multiply both sides of equation by 2y
6x + 3 = 32y
2. Isolate 6x
6x = 32y - 3
3. Isolate x
x = (32y - 3)/6
(B+5)(B+5) Is the correct factorization.
Answer:
Step-by-step explanation:
When we reflect and transform a figure, the angle lengths nor the side lengths are touched. The side length only changes if we dilate or stretch the figure, and the angle length only changes if we stretch the figure.
Therefore, we know the information is going to be the exact same. We just have to figure out what corresponds to what from JKLM to QTSR.
If we reflect a figure across a horizontal reflection line through its center, the figure will just flip sides. M will be J, L will be K, etc.
When we translate this down, nothing changes except its position. So we can pretend these two shapes are right on top of each other for now.
When we move these right on top of each other, we can see that Angle J overlaps with Angle Q. Since they don't have any weird intersects, we know that angle J will be equal to Angle Q. Since we already know J is 110°, we know Q is also 110°.
When we move it on top, we also see that KL overlaps with ST perfectly. Since we know KL is 9, that must mean ST is also 9.
Hope this helped!
Answer: 1717
Step-by-step explanation:
17+420+480+425+375=
Answer:
A) A = W(W + 4)
B) Length = 7 ft
Width = 3 ft
Step-by-step explanation:
A) Let the length and width of the rectangular rug be L and W respectively.
We are told that the rug is 4 feet longer than it is wide. Thus;
L = (W + 4)
Also we are told that the area is 21 ft²
Now, formula for area of a rectangle is;
A = LW.
Thus;
A = W(W + 4)
21 = W(W + 4)
B) 21 = W² + 4W
W² + 4W - 21 = 0
Using quadratic formula to find the roots, we arrive at W = 3 ft.
Thus, L = 3 + 4 = 7 ft