Answer:
x = 6
= 8.485
Step-by-step explanation:
In a 45-45-90 triangle, the hypotenuse is
times the length of a leg.
So, if you are given the hypotenuse, then divide its length by 
x = 12/
= 12
/2 = 6
= 8.485
Answer:
C
Step-by-step explanation:
So we have the function:

To find the inverse, switch h(x) and x, change h(x) to h⁻¹(x), and solve for it. Thus: "

So, take the natural log (log to base e) of both sides:

The right side will cancel:

Divide both sides by 2:

And we're done!
Our answer is C
Note:

Answer:
c. 
Step-by-step explanation:
When plugging in zero into the given equation:

Answer is in indeterminate form = use L'Hospital's Rule:
(Derivative of the top / Derivative of the bottom)

Rearranged equation:

Plug zero back into equation:

Answer:

Answer:
Es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.
Step-by-step explanation:
Dado que una cadena de gasolineras realizará un sorteo, para lo cual entrega un boleto a cada uno de sus clientes, y en la ciudad de Nogales se repartieron 5/40 del total de los boletos, en ciudad Obregón 1/4, en Hermosillo 4/16 y en la Ciudad de Guaymas 3/8, para determinar en qué ciudad es más probable que viva el ganador se deben realizar los siguientes cálculos:
Nogales = 5/40 = 1/8 = 0.125
Obregón = 1/4 = 0.25
Hermosillo = 1/4 = 0.25
Guaymas = 3/8 = 0.375
Por lo tanto, es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.
Answer:
A) y will increase by 4 unit.
B) y will decrease by 20 units
Step-by-step explanation:
Given equation that shows relation between x and y.

A) If x is increased by 4 units
New value of y = 


So, change in y = new value of y- original value of y



Thus, the value of y will be increased by 4 units.
B) If x is decreased by 5 units
New value of y = 


So, change in y = new value of y- original value of y



= -20
Thus, the value of y will be decreased by 20 units.