Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2^−x and y = 4^x + 3 intersect are the solutions of the equation 2^−x = 4^x + 3.

Part B: Make tables to find the solution to 2^−x = 4^x + 3. Take the integer values of x only between −3 and 3.

Part C: How can you solve the equation 2^−x = 4^x + 3 graphically?

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step-by-step explanation:

use that smart brain

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

2+2=4

4-5=-1

is that your