Answer:
a = ±sqrt(3)
Step-by-step explanation:
a×a×a=a+a+a
Simplifying each side
a^3 = 3a
Divide each side by a
a^3 /a = 3a/a
a^2 = 3
Take the square root of each side
sqrt(a^2) = ±sqrt(3)
a = ±sqrt(3)
Answer:
Domain: all real numbers
Range: less than/equal to -2
Answer: 
Step-by-step explanation:
1. By definition, you have if
, then 
2. Keeping this on mind, you must follow the proccedure shown below:
- You have that:

Where:

- Substitute values into
. Then, you obtain:
The <em><u>correct answers</u></em> are:
B=(xy + x)(xy + x)
; C=(2x – 3)(–3 + 2x)
; and E=(4y² + 25)(25 + 4y²)
Explanation:
In order to have a perfect square trinomial, we must multiply two binomials that are exactly the same. For (xy+x)(xy+x), are multiplying two identical binomials.
For (2x-3)(-3+2x), we are multiplying two binomials that are the same but written in a different order. The same is true of (4y² + 25)(25 + 4y²).
Answer:
C) When an altitude is drawn from the right angle of a right triangle it creates three similar triangles.
Step-by-step explanation:
The Inscribed Similar Triangles Theorem states that if an altitude is drawn from the right angle of any right triangle, then the two triangles formed are similar to the original triangle and all three triangles are similar to each other.