Parabola form : (y-k) = a(x-h)², where h and k are the vertex(h , k)
The vertex is given (2 , - 9), the equation of the parabola becomes:
y+9 = a(x-2)²
But we know this curve passes through (5, - 18)
Plug the respective values of x & y in the equation:
-18 +9 = a(5-2)² → - 9 = 9a & a = -9/9 and a= - 1
Answer:
nice
Step-by-step explanation:
jody
Answer:
Frida
Step-by-step explanation:
y = 1000(2)^x
Mrs. Smith is saying that the number of termites will double each week, and Mr. Smith is saying that the number of termites will increase by 100% each week.
Let's just look at (2)^x. If we substitute numbers for x, we get:
- x = 1 ⇒ 2
- x = 2 ⇒ 4
- x = 3 ⇒ 8
- x = 4 ⇒ 16
- x = 5 ⇒ 32
- x = 6 ⇒ 64
- x = 7 ⇒ 128
We can see that the output number doubles by 2, or in other words, increases by 100% of its value.
Therefore, Frida is correct in thinking that both Mr. and Mrs. Smith's interpretations are correct.
Answer: 3,4,5
Step-by-step explanation: a squared + b squared = c squared
A -> 3 squared is 9
B -> 4 squared is 16
9+16 is 25, so C has to be 25
C -> 5 squared is 25
So 3, 4, 5
Answer:
10.4 meters
Step-by-step explanation: