The answer is A,(b + 3)(b - 2)
Explanation:
Divide the negative 16 by 2= -8
Then square -8
So the missing constant is 64
The perfect square would be (x-8)^2
The area of this square is said to be 576 square inches.
The formula for the area of a square is the length of one side squared.
Let's use l to represent the side length.
This means l^2 = 576.
To find l, find the square root of both sides.
<span>√576 = 24
</span>
The length of each side of the square is 24 inches.
But the question is asking for it in feet.
12 inches = 1 foot so 24 inches = 2 feet
This means each side of the square is 2 feet long.
Answer:
2 feet
Short Answer: arc LM = 110°
Comment
Any two angles that have their end points on the same end points as a chord and both moving away in the same direction (in this case down ) are equal. This is a fundamental fact about circles.
Equation
2x + 55 = x + 55
the only way this is going to make any sense is if x = 0. No other value is possible because it will destroy the equality.
Conclusion
Both angles = 55
But that's not what you are asked for.
What you are asked for
You want to know the measure of arc LM.
The angle connecting the center of the circle with its two arms running through the end points of the chord = the measure of arc LM
Draw a dot where the center of the circle is and call it O. Draw in <MOL
<MOL = 2* either of the 55° = 2 (<LKM) = 2 * 55 = 110° That's a property of the central angle.
The measure of arc LM = 110°
Answer:
The rate at which Perimeter of the square is increasing is
.
Step-by-step explanation:
Given:
Circumference of the circle = 
Rate of change of in circumference = 6 in/secs
We need to find the rate at which the perimeter of the square is increasing
Solution:
Now we know that;

Now we know that;
side of the square= diameter of the circle
side of the square = 
Now Perimeter of the square is given by 4 times length of the side.

Now we need to find the rate at which Perimeter is increasing so we will find the derivative of perimeter.

But 
So we get;

Hence The rate at which Perimeter of the square is increasing is
.