I'll do the first one to get you started
The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64
Compare that to y = ax^2+bx+c and we see that
a = 1
b = 16
c = 64
Use the values of 'a' and b to get the value of h as shown below
h = -b/(2a)
h = -16/(2*1)
h = -8
This is the x coordinate of the vertex.
Plug this x value into the original equation to find the corresponding y value of the vertex.
y = x^2+16x+64
y = (-8)^2 + 16(-8) + 64
y = 0
Since the y coordinate of the vertex is 0, this means k = 0.
The vertex is (h,k) = (-8, 0)
---------------------
So we found that a = 1, h = -8 and k = 0
Therefore,
f(x) = a(x-h)^2 + k
f(x) = 1(x-(-8))^2 + 0
f(x) = (x+8)^2
is the vertex form
---------------------
<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
Answer:
It has more time and the other takes less time
Step-by-step explanation:
if you subtract them it should be 4.66 seconds of difference hope this helps :)
Here, we need to find the area of a circle.
So, area of a circle = πr²
= 3.14 * (10, 000)²
= 3.14 * 100,000,000
= 314,000,000 ft²
In short, Your Answer would be Option A
Hope this helps!
We can turn 150% into a decimal by moving our decimal point two places to the left, or 1.5. We then multiply 1.5 with 60 as the word "of" in math automatically tells us to do that.
We have our answer of 90.
Answer:
The answer to your question is: ST = 27
Step-by-step explanation:
Data
SR = 2x+ 7
ST = x - 6
RT = 100
Process
SR + ST = RT
2x + 7 + x - 6 = 100
3x = 100 - 1
3x = 99
x = 99/ 3
x = 33
ST = 33 - 6
ST = 27
