<u>Given</u>:
Given that the circle with center O.
The radius of the circle is OB.
The chord of the circle O is PQ and the length of PQ is 12 cm.
We need to determine the length of the segment PA.
<u>Length of the segment PA:</u>
We know that, "if a radius is perpendicular to the chord, then it bisects the chord and its arc".
Thus, we have;

Substituting the value PQ = 12, we get;


Thus, the length of the segment PA is 6 cm.
Hence, Option d is the correct answer.
Answer:
- 6
Step-by-step explanation:
Given
y = 3(x - 1)(x + 2) ← expand factors using FOIL
= 3(x² + x - 2) ← distribute by 3
= 3x² + 3x - 6
To find the y- intercept let x = 0, thus
y = 3(0)² + 3(0) - 6 = 0 + 0 - 6 = - 6
Thus y- intercept = - 6 ⇒ (0, - 6 )
The solution of the equation is y = 3.
<h3>What is the linear equation?</h3>
An equation between two variables that gives a straight line when plotted on a graph.
The solution to the equation is;

Hence, the solution of the equation is y = 3.
To know more about linear equations click the link given below.
brainly.com/question/14824234
Answer:
The number of supply of base balls is 22
Step-by-step explanation:
Given
P = Q - 4
Price = $18
Required
Number of supply
The relationship between price and quantity is given to be P = Q - 4 where price is represented by P and Q represents the quantity.
To get the quantity supply when price is $18, all you need to do is to substitute 18 for P in the above equation;
Thus, giving:
18 = Q - 4
Make Q the subject of formula
Q = 18 + 4
Q = 22 quantities
Hence, the number of supply of base balls is 22
For the lines to be parallel the two angles need to be equal to each other:
128-x = x
Add 1x to both sides
128 = 2x
Divide both sides by 2:
X = 128/2
X = 64
Answer: x = 64