Answer:
Add each side to get perimeter so your total is 38ft
Step-by-step explanation:
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)
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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
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<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
Answer:
60ml of the 50% alcohol solution and 20ml of the 6% alcohol solution
Step-by-step explanation:
We can build a system of equation for solve this problem
x = first solution
y = second solution
x + y = 80
0.5x + 0.06y = 80 * 0.39
x + y = 80
0.5x + 0.06y = 31.2
x = 80 -y
0.5(80-y) + 0.06y = 31.2
40 - 0.5y + 0.06y = 31.2
-0.44y = -8.8
y = 20
x = 80 - 20 = 60
The width of the deck woul be 5 feet because, the deck is a rectangle, meaning it has 4 sides. If you know two of thoses sides are 10 feet in lenghth, that adds up to 20 ft in perimeter. You subtract 20 from the perimeter of 30 ft, and get 10. You divide the ten by the two remaining sides of the deck and get the answer of 5 ft
Answer:
83 3/10
Step-by-step explanation:
multiple the numbers
