Please help I would really appreciate it

The side BA measures 11.53 units long.

Step-by-step explanation:

Step 1:

The side BP and PC are both the radii of the given circle. In the question, it is given that BP is 6 units long so PC is also equal to 6 units.

The line PA is split into two segments, PC and AC. It is given that AC is 7 units long.

So units.

Step 2:

The triangle ABP is right-angled. According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Substituting the values we know, we get

Rounding off this value, we get BA measures 11.53 units long.

the correct is answer is a 9-sided polygon!

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}