49-x^2 factors to (7+x)(7-x). This is because both terms are perfect squares.
When you divide out 7+x because a rectangle's area equals length times width, you get 7-x
Final answer: 7-x
Answer:
![\boxed{\sf C. \ x\geq -4}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20C.%20%5C%20x%5Cgeq%20-4%7D)
Step-by-step explanation:
![-8x+4\leq 36](https://tex.z-dn.net/?f=-8x%2B4%5Cleq%2036)
![\sf Subtract \ 4 \ from \ both \ sides.](https://tex.z-dn.net/?f=%5Csf%20Subtract%20%5C%204%20%5C%20from%20%5C%20both%20%5C%20sides.)
![-8x+4-4 \leq 36-4](https://tex.z-dn.net/?f=-8x%2B4-4%20%5Cleq%2036-4)
![-8x\leq 32](https://tex.z-dn.net/?f=-8x%5Cleq%2032)
![\sf Divide \ both \ sides \ by \ -8.](https://tex.z-dn.net/?f=%5Csf%20Divide%20%5C%20both%20%5C%20sides%20%5C%20by%20%5C%20-8.)
![\frac{-8x}{-8} \leq \frac{32}{-8}](https://tex.z-dn.net/?f=%5Cfrac%7B-8x%7D%7B-8%7D%20%5Cleq%20%5Cfrac%7B32%7D%7B-8%7D)
![x\geq -4](https://tex.z-dn.net/?f=x%5Cgeq%20-4)
Answer:
A) (-2,-2)
B) (2,-3)
C) (5,4)
D) (5,9)
E) (-10,6)
F) (-3,2)
G) (9,5)
H) (-2,4)
I) (-10,-10)
J) (6,-10)
K) (0,9)
L) (-1,-8)
M) (3,2)
O) (-7,-10)
P) (-6,5)
Step-by-step explanation:
Hope this helps :)
Answer:
The value of k that would make Deanna's claim to be true is k = 4
Step-by-step explanation:
The given transformation that Deanna has a claim for = Rotation
Deanna's claim. the minimum rotation of a polygon about its center that carries the polygon onto itself = The interior angle of the polygon
We note that the rotation of a regular polygon about its center that carries the polygon onto itself = The exterior angle of the polygon
Therefore, given that for a polygon with more than 5 sides, the exterior angle of the polygon < The interior angle of the polygon, Deana statement can be said to be true for the case of a square
Here;
The exterior angle of the polygon = The interior angle of the polygon 90
The value of k which is the number of sides of the polygon, for a square = 4
Therefore, the value of k that would make Deanna's claim to be true is k = 4.