
Multiply both sides by 3

Simplify the numerators

Multiply both sides by 6

Simplify the numerator

Multiply both sides by x
12x - 18 = 15x Subtract 12x from both sides
-18 = 3x Divide both sides by 3
-6 = x Switch the sides to make it easier to read
x = -6
Check your answer by plugging -6 in for the x in the original problem:

Plug in -6 for x

Change

to

so all denominators are the same

Change

to

for easier work

Subtract the numerators (4 - (-1) )

=

So,
x = -6 .
The length of arc PS from the information given in the task content is; 31.5 ft.
<h3>What is the length of the arc PS?</h3>
It follows from the task content that;
- Point T is the center of the circle and line TR is the radius of the circle.
- Additionally, the angle subtended by arcPS = 180 - m<PS = 180 - 16 = 164⁰. This follows from the fact that line PR is a diameter.
On this note, the length of arc PS is;
arc PS = (164/360) × 2 × 3.14 × 11.
arc PS = 31.5ft.
Read more on length of an arc;
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Answer:
A
Step-by-step explanation:
Difference of squares: (a^2 - b^2) = (a - b)(a + b)
(144x^2 - 49) = (12x - 7) (12x + 7)