Consider the two equations below. Explain completely the similarities and

differences in how you would solve each equation. Be clear and complete.

3* = 12 and x3 = 12

Here, the given equations,

and

Similarity: In both equations there is only one variable ( i.e. x)

Difference: is an exponential equation while is a polynomial equation.

Now, when we solve an exponential equation we take log in both sides of the equation as follows:

      ( ∵ )

Hence, the solution of the equation is .

While, when we solve a polynomial we find the roots as follows:

By zero product property,

or

If , then

If ,

Then, by quadratic formula,

Hence, the solutions of the equation are ,    and   .

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²

just go here

its what i use

step-by-step explanation: