Answer:
Remember, the expansion of 
is 
, where 
.
Then,
Then, the coefficient of the term 
is 
a) since 6-k=2, then k=4. So the coefficient of 
is
b) since 6-k=5, then k=1. So, the coefficient of 
is
c) since 6-k=3, then k=3. So, the coefficient of 
is
I think the equation would be 101=4.50b+25 where b is equal to the the maount of bracelets and 25 dollars for the materials and 101 is how much she had at the end of the month
So you would subract 25 from each sides
So 25-25 you cancel off and on the other side 101-25=76
Then, it would be 4.50b=76 so you divide 4.50 on each side and get b=17
Well, 35/3 is simple, but 3 doesnt do into 35 so you might have gotten a long number, not big. But the answer is 11.66... or 11.6 repeating.
As it is right angled , we can use pythagoras theorem.
Using the therorem :
(x+2)² + (4x+4)² = (5x)²
x² + 4x + 4 + 16x² + 32x + 16 = 25x²
25x² - 17x² - 36x - 20 = 0
8x² - 36x - 20 = 0
2x² - 9x - 5 = 0
2x² -10x + x - 5 =0
2x(x-5) + 1(x-5) =0
(x-5)(2x+1) = 0
x = 5 or x = -1/2
x cannot be -1/2 as it would make hypotenuse negative.
So x = 5
Sides are 7 m, 24 m , 25 m
The area = 1/2 × base × height
Area = 1/2 × 24 × 7 = 84 m²
Answer:
d ≈ 45 ft
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Geometry</u>
- Circumference of a Circle Formula: C = πd
Step-by-step explanation:
<u>Step 1: Define</u>
Circumference <em>C </em>= 141.3 ft
<u>Step 2: Solve for </u><em><u>d</u></em>
- Substitute in <em>C</em> [Circumference Formula]: 141.3 ft = πd
- Substitute in π (approximation): 141.3 ft ≈ 3.14d
- [Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ d
- Rewrite: d ≈ 45 ft
