Answer:
Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then:
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then:
x = log_12(y).
Then, the inverse of: y= 12^x is:
Answer:
El área del círculo que se encuentra en el cuadrado es de 78.5cm²
Step-by-step explanation:
Para resolver este ejercicio tenemos que pensar que un cuadrado tiene sus 4 lados iguales, por lo que todos sus lados medirán 10cm.
Ahora nos fijamos que necesitamos saber para calcular el área de un circulo
a = área
r = radio
π = 3.14
a = π * r²
como podemos ver no sabemos el valor del radio
como el circulo toca con los 4 lados del cuadrado sabemos que su radio sera la distancia del centro del cuadrado a cualquiera de los lados.
Entonces tenemos que dividir un lado por 2
10cm/2 = 5cm
El radio del circulo sera 5cm
Ahora que tenemos todos los datos podemos calcular el valor del área
a = 3.14 * (5cm)²
a = 3.14 * 25cm²
a = 78.5cm²
El área del círculo que se encuentra en el cuadrado es de 78.5cm²
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x + 5y = 10 into this form
Subtract x from both sides
5y = - x + 10 ( divide all terms by 5 )
y = - 
x +2 ← in slope- intercept form
with slope m = -
• Parallel lines have equal slopes, hence
y = - x + c ← is the partial equation of the parallel line
To find c substitute (1, 3) into the partial equation
3 = - + c ⇒ c = 
y = - x + ← equation of parallel line
Answer:
look it up
Step-by-step explanation:
go on your phone
click google
type in your question
don't be trash player
Answer:
See explanation.
Step-by-step explanation:
Common factor: y
