Last question of the day for 20 points : )

When x=0, y=4...

Therefore:

4=a*b⁰

b⁰=1, so a=4.

When x=1, y=2...

Therefore:

2=4*b¹

4b=2

b=2/4

So... b=1/2.

This means that:

y=4*((1/2)^x)

Step-by-step explanation:

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.

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