Answer:
D
Step-by-step explanation:
just trust me look at the angles visually
Answer:
x = 4
Step-by-step explanation:
When a tangent and a secant are drawn from an external point to a circle.
Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence
x(x + 5) = 6²
x² + 5x = 36 ( subtract 36 from both sides )
x² + 5x - 36 = 0 ← in standard form
(x + 9)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 4 = 0 ⇒ x = 4
However, x > 0 ⇒ x = 4
<span>For this case we have the following expression:
</span>

<span> We are going to make the following change of variables:
</span>

<span>Rewriting the expression we have:
</span>

<span>Factoring the expression we have:
</span>

<span>Canceling similar terms we have:
</span>

<span>Returning the change we have:
</span>

<span> The resctrictions of the function are those that make the denominator equal to zero.
We have then:
</span>

<span>
Answer: The simplified expression is: </span>
<span>
The restrictions are: </span>
Answer: The average velocity of the object over the time interval [3,6] is 20.
Step-by-step explanation:
Since we have given that
s(3) = 156
s(6) = 216
We need to find the average velocity over the time interval [3,6].
So, average velocity becomes

Hence, the average velocity of the object over the time interval [3,6] is 20.