Answer: ![h=-8\\k=6](https://tex.z-dn.net/?f=h%3D-8%5C%5Ck%3D6)
Step-by-step explanation:
By definition, we know that the quadratic equation in the vertex form is:
![y=a(x-h)^{2}+k](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E%7B2%7D%2Bk)
Where (h, k) is the vertex.
We have thefollowing equation given in the problem:
![y=3(x+8)^{2}+6](https://tex.z-dn.net/?f=y%3D3%28x%2B8%29%5E%7B2%7D%2B6)
Therefore, you can conclude that the vertex is (-8,6).
Therefore the answer is:
![h=-8\\k=6](https://tex.z-dn.net/?f=h%3D-8%5C%5Ck%3D6)
Answer:
2 bowls of soup
Step-by-step explanation:
<u>1. Make 1 1/4 an improper fraction</u>
1 1/4 = 5/4
<u>2. Then divide 5/4 by 5/8 (KCF - </u><u>Keep</u><u> the 5/4 - </u><u>Change</u><u> the division sign to multiplication - '</u><u>Flip' </u><u>5/8 to 8/5)</u>
5/4 x 8/5 = 40/20
<u>3. Simplify the fraction (divide the numerator and denominator by 20)</u>
40/20 = 2
<u>4. Final answer:</u>
2 (bowls of soup)
Answer:
a) 5
Step-by-step explanation:
Graphically, b - a can be represented by placing a vector of the same magnitude of a but opposite orientation at the end of vector b. Let's call this vector -a. |b-a| will be the vector that share origin with b and end with -a. The minimum value that the magnitude of |b-a| can have will occur when -a have the same direction of b but opposite orientation, and the maximum value when -a have the same direction and orientation. Mathematically, this would be:
|b-a|min = 12 - 5 = 7
|b-a|max = 12 - (-5) = 17
Notice that 5 is the only option that is not in this range, so the answer is a.
A.) -8
Explaining:
Dividing a negative number between a positive number is equal to a negative number.
-(96/12)
Divida the Numbers
-(96/12)
= -8
Answer:
1350 cm^2
Step-by-step explanation: