Answer:
Option B: 3x(x - 3)(x - 5)
Step-by-step explanation:
The given polynomial is: 3x³ - 24x² + 45x
To factorize it: 3x³ - 24x² + 45x
Since, 3x is common through out we can take it out.
⇒ 3x(x² - 8x + 15)
Now we have to factorize (x² - 8x + 15)
The roots of this quadratic equation is: 5, 3.
Therefore, x² - 8x + 15 = (x - 3)(x - 5)
Combining them, the factors of the polynomial would be:
(B) 3x(x - 3)(x - 5)
Answer:
"In each figure the total area is equal and the area of the 4 triangles is equal, so the remaining white area in each figure must also be equal."
Step-by-step explanation:
Both figures make up congruent squares, and they are made up of 4 congruent triangles, so the white area in between must be equal between the two figures
Answer:
The correct option is C.
Step-by-step explanation:
From the given figure it is noticed that the coordinates of B are (-5,-7).
If ABC is reflected across x = 1, then
![(x,y)\rightarrow(1-(x-1),y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%281-%28x-1%29%2Cy%29)
![(x,y)\rightarrow(2-x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%282-x%2Cy%29)
![(-5,-7)\rightarrow(2+5,-7)](https://tex.z-dn.net/?f=%28-5%2C-7%29%5Crightarrow%282%2B5%2C-7%29)
![(-5,-7)\rightarrow(7,-7)](https://tex.z-dn.net/?f=%28-5%2C-7%29%5Crightarrow%287%2C-7%29)
If ABC is reflected across y =-3.
![(x,y)\rightarrow(x,-3-(y-(-3)))](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%28x%2C-3-%28y-%28-3%29%29%29)
![(x,y)\rightarrow(x,-6-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%28x%2C-6-y%29)
![(7,-7)\rightarrow(7,-6-(-7))](https://tex.z-dn.net/?f=%287%2C-7%29%5Crightarrow%287%2C-6-%28-7%29%29)
![(7,-7)\rightarrow(7,1)](https://tex.z-dn.net/?f=%287%2C-7%29%5Crightarrow%287%2C1%29)
Therefore option C is correct.
Answer:
s=-14
Step-by-step explanation:
-8 = s+6 Given
-14 = s Subtract 6 from both sides