Answer:
z=−215z=-215
Step-by-step explanation:
z=−215z=-215
<h3><u>Option C</u></h3><h3><u>The vertex form of the equation is:</u></h3>

<em><u>Solution:</u></em>
<em><u>The vertex form of equation is given as:</u></em>

Where, (h, k) is the vertex
Given that,

We have to find the vertex form of equation
Step 1:
Complete the square for 

a = 1
b = -6
c = 14
Consider the vertex form of a parabola.

Substitute the values of a and b into following:

Find the value of "e" using following formula:

Substitute the values of a, d, e in eqn 1

Thus vertex form form is found. Option C is correct
The probability of drawing an even number is 4/8 = 1/2 since there are 4 even cards (2,4,6,8) out of 8 total.
After the first draw, the card is put back. There are still 8 cards in the deck. There are 2 cards that are larger than 6. Those numbers are 7 and 8. So the probability of picking a card larger than 6 is 2/8 = 1/4
Multiply the two individual probabilities to get
(1/2)*(1/4) = (1*1)/(2*4) = 1/8
The final answer is 1/8
The surface area of the covering of the cone to the nearest square inches is 788 inches²
<h3>Surface area of a cone</h3>
surface area of a cone = πr(r + l)
where
- r = radius
- l = slant length
Therefore,
diameter = 2(radius)
14 = 2r
r = 14 / 2
r = 7 inches
l² = 7² + 28²
l = √49 + 784
l = √833
l = 28.8617393793
l = 28.86 inches
Therefore,
surface area = 3.14 × 7 (7 + 28.86)
surface area = 21.98 × 35.86
surface area = 788.2028
surface area = 788 inches²
learn more on surface area here: brainly.com/question/13343525
The fence forms a triangle because if 2 sides of the animal pen are equal, and the bottom line is shorter or longer they both form a triangle.