Answer:
x = ±sqrt(y-11)
Step-by-step explanation:
y = x^2 +11
Subtract 11 from each side
y -11 = x^2 +11-11
y-11 = x^2
Take the square root of each side
±sqrt(y-11) = sqrt(x^2)
±sqrt(y-11) = x
Answer: second option.
Step-by-step explanation:
In order to solve this exercise, it is necessary to remember the following properties of logarithms:

In this case you have the following inequality:

So you need to solve for the variable "x".
The steps to do it are below:
1. You need to apply
to both sides of the inequality:

2. Now you must apply the properties shown before:

3. Then, rounding to the nearest ten-thousandth, you get:

Hey there,
Length = 4x
Width = 3x
Perimeter = 112 inches
4x + 3x + 4x + 3x = 112 inches
14x = 112 inches
x = 112 inches / 14
= 8 inches
Length = 8 inches x 4
= 32 inches
Width = 8 inches x 3
= 24 inches
Hope this helps :))
<em>~Top♥</em>
Answer:
x + 3y = -12
Step-by-step explanation:
y = mx + b
m is the slope = rise / run:
rise = 1
run = 3
the line is downhill so its negative
m = - 1 / 3
b is the y intercept which is when the line cross over the y axis: - 4
y = - 1/3x - 4
multiply both sides by 3
3y = -1x - 12
add x to both sides
x + 3y = -12