Hello!
This is a problem about relating circle theorems to line lengths.
We can first see that both line segment MK and CM are secants within the circle that come from a common point K.
This means that the Intersecting Secant Theorem applies here.
The Intersecting Secant Theorem states that if two secants are formed from a common point outside the circle, the length of each secant multiplied by the length of its corresponding external secant are equivalent.
We can set up the following equation.
Using this value, we can find the length of line segment MK.
Hope this helps!
Answer:
l = 6
+ 2a - 1
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = lw ( l is the length and w the width )
given A = 18
+ 6a² - 3a and w = 3a , then
3aw = 18 + 6a² - 3a ( divide each term by 3a )
w = 
+ 
- 
= 6 + 2a - 1
Answer:
4
Step-by-step explanation:
range = biggest number - smallest number
range = y values
9 - 5 = 4
The length and the width of the rug having an area of 40 square feet will be 5 feet and 8 feet respectively.
<h3>what is area?</h3>
Area is defined as the space covered by any object in the two dimensional plane. Here it is given that the area of the rug should be 40 square feet and the length of the rug is 3 less then its width.
So to find out the length and the width we will form an equation.
Let the width is = x feet
So the length will be = x-3 feet
Now the area will be
By solving the quadratic equation
Here the value of x will be positive because length cant be negative.
So the width of the rug will be x=8 feet
Length of the rug will be x-3= 8-3=5 feet
Hence the length and the width of the rug having an area of 40 square feet will be 5 feet and 8 feet respectively.
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