Answer:
7y² - y + 21
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
4y - y(3 - 7y) + 5 + 2(8 - y)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute parenthesis: 4y - 3y + 7y² + 5 + 16 - 2y
- Combine like terms (y): 7y² - y + 5 + 16
- Combine like terms: 7y² - y + 21
Answer: 2
Step-by-step explanation: What is 20 divided by 10? 2
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First you subtract (1/4) from each side to get C by itself, then you convert (4/4) into 1. Then you divide both sides by (-4) to get C to equal 1. So your final answer is C=-1/4
Option C:
The perimeter of the rhombus is 100 inches.
Solution:
AC = 30 inches, BD = 40 inches
In rhombus, diagonals bisect each other at right angles.
AE = CE = 15 inches
BE = ED = 20 inches
In ΔAED, ∠E = 90°
Using Pythagorean theorem,
Taking square root on both sides, we get
AD = 25 inches
In rhombus, all sides are equal in length.
AD = DC = CB = BA = 25 inches.
Perimeter = AD + DC + CB + BA
= 25 + 25 + 25 + 25
= 100 inches
The perimeter of the rhombus is 100 inches.
Option C is the correct answer.
RULE : ASA i.e angle- side-angle
Hope it helps you....
