Answer:
The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.
Step-by-step explanation:
<u>Equivalent algebraic expressions</u> are those expressions which on simplification give the same resulting expression.
Two algebraic expressions are said to be <u>equivalent</u> if their values obtained by substituting any values of the variables are same.
Two expressions 3f+2.6 and 2f+2.6 are not equivalent, because when f=1,
Method of substitution can only help her to decide the expresssions are not equivalent, but if she wants to prove the expressions are equivalent, she must prove it for all values of f.
This is true only when f=0.
Hence,
The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.
Answer:
La situación está representada por el siguiente sistema:
Donde:
- Cantidad de rosas vendidas semanalmente.
- Ganancia semanal, medida en dólares.
Step-by-step explanation:
De acuerdo con el enunciado, Nita gana una cantidad fija cada semana por pasear al perro de su vecino, con un monto de $ 20, mientras que gana en función de la cantidad de rosas a vender, con un valor unitario de $ 2. Si ella desea ganar al menos $ 50, por tanto, se requiere construir el siguiente sistema, conformado por una ecuación y una inecuación:
(1)
(2)
Donde:
- Cantidad de rosas vendidas semanalmente.
- Ganancia semanal, medida en dólares.
Answer:
(5x + 7y)² = 25x² + 70xy + 49y²
Step-by-step explanation:
(5x + 7y)² = 25x² + 70xy + 49y²
Because,
(5x + b)² = (5x)² + 2(5x)(b) + b²
2(5x)(b) = 70xy
b = 7y
b² = (7y)² = 49y²
Answer:
Option (C)
Step-by-step explanation:
Given:
In right triangles ΔAED and CEB,
m∠AED = m∠CEB = 90°
DE ≅ BE
AD ≅ BC
To prove:
ΔAED ≅ ΔCEB
Statements Reasons
1). m∠AED = m∠BC = 90° 1). Given
2). DE = BE 2). Given
3). AD = BC 3). Given
4). ΔAED ≅ ΔCEB 4). By HL theorem of congruence
Option (C) is the answer.
