Regarding the logarithmic equation, option c is correct: x=6 is a valid solution, while x=-6 is considered an extraneous solution. Explanation: The equation requires dividing both sides by 2, simplifying further until each step can be logically followed based on logarithmic definitions, from which we affirm that both sides equal when substituting back the values, confirming that x=6 is the true solution.
Answer: El lado mayor del rectángulo mide 10cm
Step-by-step explanation:
El perímetro de un rectángulo está dado por:
P = 2*L + 2*A
Donde L es la longitud y A es el ancho.
Como sabemos que un lado es 6cm más largo que el otro, podemos expresar esto como:
L = A + 6cm.
Por lo tanto, P = 28cm = 2*L + 2*A
Sustituyendo la primera ecuación en la segunda tenemos:
28cm = 2*(A + 6cm) + 2*A
28cm = 12cm + 4*A
28cm - 12cm = 4*A
16cm/4 = A
4cm = A.
Así que el ancho es 4 cm y la longitud se calcula como L = 4cm + 6cm = 10cm
The equation given is –2x – 4 + 5x = 8, and the task is to find the value of x. To start, combine like terms and reorganize the equation:
-2x + 5x = 8 + 4
Next, simplify both sides:
3x = 12
Divide both sides by 3 to isolate x:
x = 4.
Therefore, the solution for x is 4.
B refers to the base of the triangle,
and a signifies the length of the two identical sides.
The measurement labeled as 'a' is larger than 'b' since those equal sides are longer than the base. Given "one of the longer sides measures 6.3 cm," we assign a = 6.3.
Substitute 6.3 for each 'a' in the equation and solve for b:
2a + b = 15.7
2(6.3) + b = 15.7
12.6 + b = 15.7
b = 15.7 - 12.6 (applying subtraction property of equality)
b = 3.1
Answer:
1/5
Step-by-step explanation:
Amir and Tamara each consumed 2/5 of the candy bar.
The total consumed is 2/5 + 2/5 = 4/5.
Since 4/5 of the candy bar has been eaten, 1/5 remains.
This is because 5/5 minus 4/5 equals 1/5.
(Note that 5/5 represents a whole candy bar).
