Answer:
y = (x - 4)^2 + 5.89
Step-by-step explanation:
The x-coordinate of the vertex is 4, and x = 4 is the axis of symmetry.
The general vertex equation of a parabola is
y = a(x - h)^2 + k, where the vertex is (h, k) and a is a constant coefficient, not yet known.
We know that this parabola passes through the point (7.3, 5), and so we can substitute 7.3 for x and 5 for y in the above equation, obtaining:
5 = a(x - 4)^2 + k
Let's assume that a = 1. Then
5 = (7.3 - 4)^2 + k.
Simplifying, we get
5 = 3.3^2 + k, or 5 = 10.89 + k. Then k = -5.89, and the equation is then
y = (x - 4)^2 + 5.89
Answer:
C. 2,940 ft³
Step-by-step explanation:
The building is composed of a triangular prism and a rectangular prism
Therefore,
Volume of air in the building = volume of the triangular prism + volume of the rectangular prism
Volume of triangular prism = ½*bhl
b = 4 yards = 4*3 = 12 ft
h = 15 - 9½ = 5½ = 5.5 ft
l = 20 ft
Volume of triangular prism = ½*12*5.5*20 = 660 ft³
Volume of rectangular prism = W*H*L
W = 4 yds = 12 ft
H = 9½ = 9.5
L = 20 ft
Volume of rectangular prism = 12*9.5*20 = 2,280 ft³
✔️Volume of air in the building = 660 + 2,280 = 2,940 ft³
Answer:
x=(10,0)
y=(0,4)
Step-by-step explanation:
Rewrite the equation so it is 5y=2x-20
Multiply both sides by 5
Then figure out the equation and you get the x intercept
Then put 10 into your new equation in the x spot and thats how you get y
Hope this helps:)
If my explaining is not good you can also use Math_way and it shows you all th steps too.
First let's convert the decimal numbers to mixed numbers:
Now, adding all the numbers, we have:
So the correct option is B.
3. i=129; j=112
4.k=90;l=116;m=64;n=86
5.o=13;p=78;q=91
6.a=120;b=60;c=140
Can't see #7
You did 8 I believe
9.v=39;w=59;x=121
10.y=59;z=93
11.a=42;b=48;c=132
12.a=60;b=50;c=80;d=100
