The correct answer would be 28,053
Answer: 14 turkeys and a cat
Step-by-step explanation: Getting 32 feet from 15 heads shows that an animal has more than 2 feet. If the 15 heads all belonged to turkeys, we'd have 30 feet (which is 2 short of what was observed). Reducing the number of turkey by 1 and adding a cat balances the number of observed feet. That is, 14 turkeys (with a total of 28 feet) and a cat (with 4 feet). Adding, we have 28+4=32
Answer: the correct answer is ( 7 * 5 ) + (7 * 9 )
Step-by-step explanation:
7 * ( 5+9) = (7 * __) + ( 7 * __) = ( 7 * 5 ) + (7 * 9 )
To find x we can use that fact that x is in the adjacent side of the 22° angle. We also know that 11 is our hypotenuse. Now, we can use trigonometry to find x.
cos(Ф)=adjacent/hypotenuse
cos(22°)=x/11
11 · cos(22°)= x/11 · 11 multiplicative inverse
11 cos (22°)=x
10.2≈x
the 1 is the h and the -2 is the k
f(x) = a(x - h)^2 + k
f(x) = a(x-1)^2 -2
to find a substitute x=3, y=6 in
6= a(3-1)^2 -2
6 =a *2^2 -2
add 2 to each side
8 = 4a
a =2
f(x) = 2(x-1)^2 -2 this is the vertex form
distribute to get the standard from
f(x) = 2(x^2-2x+1) -2
2x^2 -4x+2-2
f(x) =2x^2-4x is the standard form
Choice A