Answer:
x ≥ -1/2
Step-by-step explanation:
We know that we cannot graph imaginary numbers. Therefore, our <em>x </em>value has to be greater than or equal to 0:
To find our domain, we need to set the square root equal to zero:
√(4x + 2) = 0
4x + 2 = 0
4x = -2
x = -1/2
We now know that no value below -1/2 can be used or we will get an imaginary number. Therefore, our answer is x ≥ -1/2
Alternatively, we can graph the function and analyze domain:
Use Pythagorean Theorem:
a² + b² = c²
"a" is one side of the right triangle.
Its length is: radius of larger circle minus radius of smaller circle: (11 - 3 = 8)
The distance between the center of the circles creates the hypotenuse (17)
8² + b² = 17²
b² = 225
b = 15
Answer: the length of the common external tangent is 15.
Answer:
The answer is 4
Step-by-step explanation:
You just divide 80 by 15.
8 - 7x^2 + 3 = 4x^2 - 1
8+3-7x^2 = 4x^2-1
11-7x^2 = 4x^2-1
B. Commutative property of addition
We can swap numbers and obtain the same results.
In this case, we swapped 8+3 and added them.
x^2*(-3x)=-3x^3. The power of x becomes 3 because you add the powers of x. (2+1=3)
