Answer:
The 2 numbers are 22 and 23
Step-by-step explanation:
let the two numbers be x and x+1
according to the question:
(x+1)^2 - x^2 = 45
x^2+1+2x - x^2 = 45
2x + 1 = 45
2x= 44
x = 22
the other number is x+1 = 22+1 = 23
therefore, the two consecutive numbers are 22 and 23
Hope it helped u....
Every function is a rule which tells you how to associate inputs and outputs. The input, also known as independent variable, is often indicated with the letter 
, while the output, also known as dependent variable, is often indicated with the letter 
.
With this notation, we write 
, read "y is a function of x", in the sense that the value of the variable y depends on the value of the variable x, and f is the function that tells you how y depends on x.
In your example, you have 
, which means "subtract four times the input (4x) from 2"
So, it doesn't matter which input you chose (i.e. the value for x), because you will always have to behave this way:
- Pick an input value, x
- Multiply it by four to get 4x
- Subtract this number from 2: 2-4x
Here are some examples of explicit calculations: if I choose 
and input, the workflow will be
- Pick an input value, 2
- Multiply it by four to get 8
- Subtract this number from 2: 2-8=-6
So, if the input is 2, the output is -6
Similarly, if we choose 
as input, we have:
- Pick an input value, 0
- Multiply it by four to get 0
- Subtract this number from 2: 2-0=2
So, if the input is 0, the output is 2. And so on: for every possible value for x you have the correspondant value for y, with the function f telling you how to associate one with the other.
Answer:
see explanation
Step-by-step explanation:
(1)
Calculate the circumference (C) of the wheel
C = πd (d is the diameter )
= 3.14 × 8 = 25.12 cm
Now divide the distance travelled by the circumference.
times rotated = 12560 ÷ 25.12 ≈ 500
----------------------------------------------------------------
(2)
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Find r by using the circumference (C)
2πr = 50.24 ( divide both sides by 2π )
r = 50.24 ÷ 6.28 = 8 , then
A = 3.14 × 8² = 3.14 × 64 ≈ 200.96 ft² ( student 3 )
-----------------------------------------------------------------
(3)
C = πd = 3.14 × 30 = 94.2 ≈ 94 m
You calculate this using the Cosine Rule
x^2 = 60.5^2 + 226^2 - 2*60.5*226 cos 39
= 33484.42
x = 182.98
He threw the ball approximately 183 feet.
Rounded to the nearest hundred would be 274,389,451,400
