Answer:
The roots are real and unequal (3, -3)
Step-by-step explanation:
x²-9=0
ax²+bx+c=0
Comparing we get,
a= 1
b= 0
c = -9
Determinant: b²-4ac
= 0² - 4(1)(-9)
= 36>0
D > 0
Therefore, the equation has real and unequal roots.
Algebraic identity:
x² - a² = (x-a)(x+a)
Using this identity
x²-9 = (x+3)(x-3)
Roots are 3 and -3 which are real and not equal to each other
Hope this answer helps you ..
Volume = 4/3 * PI * r^3
Volume = 4/3 * 3.14159 * 9^3
Volume =
<span>
<span>
<span>
4.18879 * 729
</span></span></span>Volume =
<span>
<span>
<span>
3,053.62 cubic centimeters
</span></span></span>
eight 5 and thirty 2
Step-by-step explanation:
8 times 5 = 40 and then 30 times 2 = 60
40+60= 100
The age of Blain is 23 years old
<h3><u>Solution:</u></h3>
Let the age of Blain be "a" and age of Jillian be "b"
Given that Blain is two years older than three times Jillians age
So we can frame a equation as:
age of blain = 2 + 3(age of Jillian)
a = 2 + 3b ----- eqn 1
Also given that Jillian is also 16 years younger than Blain
Age of Jillain = Age of Blain - 16
b = a - 16 ---- eqn 2
Substitute eqn 2 in eqn 1
a = 2 + 3(a - 16)
a = 2 + 3a - 48
a - 3a = -46
-2a = -46
a = 23
Thus the age of Blain is 23 years old
Answer:
When the distributive property is used on the right side of the equation:
6x + 3 = 6x + 9
**If you wanted to go further by combining like terms, there would no longer be an "x" and all that would be left is 6 or -6, depending on how you combined them**
