The formula in order to obtain the vertex form of a
quadratic equation is given as
y=a(x-h)^2+k where (h,k) is the vertex of the quadratic
equation which is parabolic in shape and it is opening upward.
As given in the problem, y=6x^2+12x-10
Using the formula, we can transformed the quadratic equation
y=6x^2+12x-10 into its vertex form:
y=6x^2+12x-10
<span>y= (6x^2+12x)-10 (grouping)</span>
y=6(x^2+2x)-10 (factoring Common terms per
group)
y=6(x^2+2x+1)-10-6 (Completing the squares)
<span>y=6(x+1)^2-16
(Factor and Simplify) </span>
Hence, the vertex form of y=<span>6x^2+12x-10 is y=6(x+1)^2-16</span>
<em>a. 2√21 units</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<u><em>Area formula</em></u>
<em>A = π·r²</em>
<em>84π = πr²</em>
<em>r² = 84π/π</em>
<em>r² = 84</em>
<em>r² = 2²×3×7</em>
<em>r = √2²×3×7</em>
<em>r = 2√3×7</em>
<em>r = 2√21</em>
<em>Good luck !</em>
Mark has to ride 50 kilometers. He already rode 18.23 and 13.94.
18.23km+13.94km=32.17km
50km-32.17km=17.83km
Mark will have to ride 17.83km more. The correct answer is B.
Answer: 45?
Step-by-step explanation: Sorry If I'm wrong, I haven't learned this yet but I tried my best.
Answer: b. 14 pounds
Step-by-step explanation:
Formula to calculate average :
Let x denotes the number of pounds the last person have to gain so that the group can attain its goal.
Required average = 10 pounds
Observations = 9, 13, 11, 6, 7 and x (pounds)
Number of observations= 6
Sum of all observations = 9+13+ 11+ 6+7+x=46+x
According to the question , we have
i..e the last person has to gain 14 pounds so that the group can attain its goal.
Hence, the correct answer is b. 14 pounds .
