So for this trinomial, I will be factoring by grouping. Firstly, what two terms have a product of 16x^2 and a sum of 10x? That would be 8x and 2x. Replace 10x with 2x + 8x:
Next, factor x^2 + 2x and 8x + 16 separately. Make sure that they have the same quantity inside the parentheses: 
<u>Now you can rewrite this as 
, which is your final answer.</u>
Answer:
The diameter of the circle O is <em>12 units</em>
Step-by-step explanation:
There is no data in the image provided. To better help you, I'm assuming we have an arbitrary value of
and the triangle B0C is right
<u>Relations in the Circle</u>
The diameter (D) is twice the radius (r) and the radius is the distance measured from the center of the circle to any point of the circumference.
Since the triangle B0C has a right angle, BD is the hypotenuse and 0B=0C=r
Applying Pythagoras's theorem:
Thus we have
The diameter of the circle O is D=2(6) = 12 units
Because the parabola opens down and the vertex is at (0, 5), we conclude that the correct option is:
y = -(1/8)*x² + 5.
<h3>
Which is the equation of the parabola?</h3>
The relevant information is that we have the vertex at (0, 5), and that the parabola opens downwards.
Remember that the parabola only opens downwards if the leading coefficient is negative. Then we can discard the two middle options.
Now, because the parabola has the point (0, 5), we know that when we evaluate the parabola in x = 0, we should get y = 5.
Then the constant term must be 5.
So the correct option is the first one:
y = -(1/8)*x² + 5.
If you want to learn more about parabolas:
brainly.com/question/4061870
#SPJ1
Rewrite and factor 9 and 21;
3•3+3•7= 3(3+7)
GCF for 9 and 21 is 3
The answer would be $23.25 per ticket. to find this answer, you first subtract the $16.50 parking pass fee from the total amount mrs. anderson spent. you then can proceed to divide that number by 5, the number of tickets she bought. this leaves you with the answer!
