By definition, the gravitational force is given by:
Where,
m1 and m2: are the masses of the objects
G: is the gravitational constant
r is the distance between the objects' centers
The vertical asymptote of the function occurs when the denominator is equal to zero.
We have then:
In this context, it means that physically, the distance between the center of the objects can not be equal to zero (which is logical).
Step-by-step explanation:
Divide the percentage by 100. E.g 74%=64/100
Then simplify the newly made fraction,
Find the common factors,
E.g 64/100
Both can be divided by 2
32\50
Repeat simplifying step...
16\25
Till there are no more common factors
and that's the final answer...
<em>Hope you understand, if not leave a comment and I'm ready to help, please mark BRAINLIEST.</em>
Answer:
1+1=2 i think
Step-by-step explanation:
Answer:
1a) f(x) = -1/3(x + 12)² + 9
1b) f(x) = -1/3x² - 8x - 39
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
Expand by FOIL (First Outside Inside Last)
Standard Form: ax² + bx + c = 0
Transformations Graph: f(x) = a(bx - c)² + d
- a = vertical shrink/stretch
- b = horizontal shrink/stretch
- c = horizontal movement left/right
- d = vertical movement up/down
Step-by-step explanation:
<u>Step 1: Define</u>
Reflected down and vertically stretched by 1/3: a = -1/3
Shifted vertically by 9 units: d = 9
Shifted horizontally by -12 units: c = -12
<u>Step 2: Write Vertex Form</u>
- Define: f(x) = a(bx - c)² + d
- Substitute: f(x) = -1/3(x + 12)² + 9
<u>Step 3: Write Standard Form</u>
- Define: f(x) = -1/3(x + 12)² + 9
- Expand: f(x) = -1/3(x² + 24x + 144) + 9
- Distribute -1/3: f(x) = -1/3x² - 8x - 48 + 9
- Combine like terms: f(x) = -1/3x² - 8x - 39
And we have our final answers!
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