Step-by-step explanation:
Like Terms: Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting the numerical coefficients.
Answer:
See below
Step-by-step explanation:
<u>Sides of the garden</u>
<u>New dimensions of the garden</u>
<u>1. The area of the new garden</u>
- (16 + 2x)(8 + x) =
- 2x^2 + 32x + 128
<u>2. The difference in area </u>
- 2x^2 + 32x + 128 - 16*8 =
- 2x^2 + 32x
<u>3. x= 2 effect on the area</u>
- 2*2^2 + 32*2 =
- 8 + 64 =
- 72 ft²
<u>4. Area difference = 160</u>
- 2x^2 + 32x = 160
- x^2 + 16x - 80 = 0
- Solving we get positive root of 4 ft
<u>5. Area difference = 4 times</u>
- 2x^2 + 32x = 128*3
- 2x^2 + 32x - 384 = 0
- x^2 + 16x - 192= 0
- Solving we get positive root of 8 ft
Simplifying
9x + -3(x + 8) = 6x + -24
Reorder the terms:
9x + -3(8 + x) = 6x + -24
9x + (8 * -3 + x * -3) = 6x + -24
9x + (-24 + -3x) = 6x + -24
Reorder the terms:
-24 + 9x + -3x = 6x + -24
Combine like terms: 9x + -3x = 6x
-24 + 6x = 6x + -24
Reorder the terms:
-24 + 6x = -24 + 6x
Add '24' to each side of the equation.
-24 + 24 + 6x = -24 + 24 + 6x
Combine like terms: -24 + 24 = 0
0 + 6x = -24 + 24 + 6x
6x = -24 + 24 + 6x
Combine like terms: -24 + 24 = 0
6x = 0 + 6x
6x = 6x
Add '-6x' to each side of the equation.
6x + -6x = 6x + -6x
Combine like terms: 6x + -6x = 0
0 = 6x + -6x
Combine like terms: 6x + -6x = 0
0 = 0
Solving
0 = 0
Can i see a picture of the triangle/ angle ?
Answer:
190 games
Step-by-step explanation:
²⁰C₂ = 20!/[(20 - 2)! * 2!] = 190