Answer:
(0, -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
- Subtraction 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>
6x - 5y = 15
x = y + 3
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 6(y + 3) - 5y = 15
- Distribute 6: 6y + 18 - 5y = 15
- Combine like terms: y + 18 = 15
- [Subtraction Property of Equality] Subtract 18 on both sides: y = -3
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = y + 3
- Substitute in <em>y</em>: x = -3 + 3
- Add: x = 0
Answer:
To use division to find the decimal equivalent of a rational number, divide the top number by the bottom number. You will get a decimal number.
Step-by-step explanation:
ABC+DAB=180
DAB=180-115
DAB= 65
m<3+m<4=65
m<3=65-m<4
You have been given 4 degrees there, but it has not fallen. The answer is either A or B. Subtracting the conditional degree from 65. Find 3.
#2:
Find the total surface area of the capped cylinder.
2 times the area of the base would be 2[pi*(3 cm)^2, or 18pi.
The circumference of the base is C = 2pi*r, which here is 6pi.
The area of the sides is C times height, or 6pi*(11 cm) = 66pi cm^2
Add this to the 18pi cm^2 previously found.
Total area of cylinder, including top and bottom, is 84 cm^2.
