Answer:
Step-by-step explanation:
The first number is
We simplify to get:
The second number is .
This number can be rewritten as
This is not an integer
The third number is
We simplify to get:
This is also an integer.
The correct answer is .
Use the Multiplication Distributive Property: (xy)^a = x^ay^a
3√64 3√a^6 3√b^7 3√c^9
Calculate
4 3√a^6 3√b^7 3√c^9
Use this rule: (x^a)^b = x^ab
4a^6/3 3√b^7 3√c^9
Simplify 6/3 to 2
4a^2 3√b^7 3√c^9
Use this rule: (x^a)^b = x^ab
4a^2b^7/3 3√c^9
Use this rule: (x^a) = x^ab
4a^2b^7/3 c^9/3
Simplify 9/3 to 3
<h2><u>
Answer: B. 4a^2b^2c^3(3√b)</u></h2>
<u><em>Question Number 2.</em></u>
Use this rule: √ab = √a√b√120√x
Simplify √120 to 2√30
2√30√x
Simplify
<h2><u>
Answer: A. 2√30x</u></h2>
<span>The property that justifies this statement is that of the Division Property of Equality. This property states that if you were to divide one side of an equation by a number, then you must divide the other side of the equation by the same number to ensure that the equation is still the same one that was started with. In the equation 3x=6, for example, to solve for x, one must divide both sides of the equation by three. By doing so, x is isolated, and we are able to find that x=2.</span>
Answer:
Step-by-step explanation:
2) string and wall are parallel
3) parallel lines intersected by a common third line make corresponding angles.
4) A and B have the same angle measure.
Answer:
The answer is (d) ⇒ eccentricity = 6 , hyperbola , directrix x = 3/2
Step-by-step explanation:
∵ r = ek/(1 ± ecosФ)
∵ r = 9/(1 + 6cosФ)
∴ e = 6 ⇒ eccentricity = 6
∵ e > 1
∴ The conic is hyperbola
∵ ek = 9
∴ k = 9/6 = 3/2
∴ The directrix x = 3/2