Answer:
49
Step-by-step explanation:
14x14 = 196
196/4 = 49
Answer:
−2x4−18x3y
Step-by-step explanation:
Let's simplify step-by-step.
(−3x2)(xy+2x2)+7x4−3x3(5y+x)
Distribute:
=(−3x2)(xy)+(−3x2)(2x2)+7x4+−3x4+−15x3y
=−3x3y+−6x4+7x4+−3x4+−15x3y
Combine Like Terms:
=−3x3y+−6x4+7x4+−3x4+−15x3y
=(−6x4+7x4+−3x4)+(−3x3y+−15x3y)
=−2x4+−18x3y
The area of each rect. would be xy, so the total area of the square would be 2xy, by definition of area of a square
Answer:
The answer is 3
Step-by-step explanation:
7 - 4 = 3
So, 3+4=7
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!
