ANSWER: ⇒ ¹/₃
Solve the equation:
6a - 4 = -2
Rearrange variables to the left side of the equation:
6a = -2 + 4
Calculate the sum or difference:
6a = 2
Divide both sides of the equation by the coefficient of variable:
a = ²/₆
Cross out the common factor:
a = ¹/₃
Answer:
36
Step-by-step explanation: thats what i got
Answer:
The surface area of the cylinder is 326.56yd²
Step-by-step explanation:
To solve this problem we have to calculate the circle area and the lateral area
To calculate the area of the circle we use the following formula
a = area
r = radius = 4yd
π = 3.14
a = π * r²
we replace with the known values
a = π * (4yd)²
a = π * 16yd²
a = 50.24yd²
The area of the circle is 50.24yd²
To calculate the lateral area of the cylinder we use the following formula
a = area
h = heighti = 9yd
r = radius = 4yd
π = 3.14
a = 2 * π * r * h
we replace with the known values
a = 2 * 3.14 * 4yd * 9yd
a = 6.28 * 36yd²
a = 226.08yd²
The lateral area of the cylinder is 226.08yd²
Now we add the lateral area of the cylinder with 2 times the area of the circle and obtain the area of the cylinder
226.08yd² + (2 * 50.24yd² ) = 326.56yd²
The surface area of the cylinder is 326.56yd²
Answer:
base
Step-by-step explanation:
Answer:
(7, 3)
General Formulas and Concepts:
<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
- Subtract Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
4x + 3y = 37
y = x - 4
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 4x + 3(x - 4) = 37
- Distribute 3: 4x + 3x - 12 = 37
- Combine like terms: 7x - 12 = 37
- [APE] Add 12 on both sides: 7x = 49
- [DPE] Divide 7 on both sides: x = 7
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = x - 4
- Substitute in <em>x</em>: y = 7 - 4
- Subtract: y = 3