Answer:
Step-by-step explanation:
abs(x)>0
This statement is false because what happens when x = 0? For all other instances, the statement is true, but not for 0.
Zero is not greater than itself.
Answer:
The answer to your question is 23.2 ft
Step-by-step explanation:
Data
length square pyramid = 10 ft
width of a cube = 6 ft
height of the pyramid = ?
The surface area is equal in both figures.
Formula
Surface area of a cube = 6a²
Surface area of a square pyramid = ab + al = l x l + (l x h) /2
Process
1.- Calculate the surface area of the cube
Ac = 6(6)² = 6(36)
= 216 ft²
2.- Substitute data in the square pyramid formula
Ap = (10 x 10) + (10h)/2
3.- Equal both areas
216 = 100 + 5h
- Solve for h
216 - 100 = 5h
116 = 5h
h = 116 / 5
- Result
h = 23.2 ft
X² + 11x + 24 = 0
24*1 = 24
We think of 2 numbers that multiply to give 24 and add up to give 11
The 2 numbers are 8 and 3.
8*3 = 24 and 8 + 3 = 11
So the 11x in x² + 11x + 24 = 0
Replace 11x with (3x + 8x)
x² + 11x + 24 = 0
x² + 3x + 8x + 24 = 0 Factorize.
x(x + 3) + 8(x + 3) = 0
(x + 3)(x + 8) = 0
That means:
x + 3 = 0 or x + 8 = 0
x = 0 - 3 x = 0 - 8
x = -3 or x = -8
Therefore: x² + 11x + 24 = 0 is (x + 3)(x + 8) = 0 and x = -3 or x = -8
Hope this helps.
