Answer:
Perimeter = 101.2 cm
Step-by-step explanation:
The given figure has a length of 18 cm and width of 24 cm. A rectangle of length 8.6cm has been cut out, however, the question is asking to find the perimeter, or distance around the figure. The overall rectangle still has a perimeter of 18 + 18 + 24 + 24 = 84. However, now it also has two additional sides of 8.6cm each, so 8.6 + 8.6 = 17.2.
Add all the sides together for perimeter:
84 + 17.2 = 101.2 cm
Answer:
(-3, 13)
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>
y = -4x + 1
11y = x + 146
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 11(-4x + 1) = x + 146
- Distribute 11: -44x + 11 = x + 146
- [Addition Property of Equality] Add 44x on both sides: 11 = 45x + 146
- [Subtraction Property of Equality] Subtract 146 on both sides: -135 = 45x
- [Division Property of Equality] Divide 45 on both sides: -3 = x
- Rewrite/Rearrange: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -4x + 1
- Substitute in <em>x</em>: y = -4(-3) + 1
- Multiply: y = 12 + 1
- Add: y = 13
Make denominator same first.
1/2 - 1/6
3/6 - 1/6
Now subtract numerators
(3-1) / 6
2/6
Now simplify
1/3
Final answer: 1/3
Answer:
point D: (2, -4)
Step-by-step explanation:
