Cis the midpoint of bd. bc=6x+3; cd=4x+33. find the value of bd

The length of BD is 186.

In order to find that we first have to note that BC is the same length as CD since C is the midpoint. Therefore, we can set them equal to each other and find the value of x.

6x + 3 = 4x + 33

2x + 3 = 33

2x = 30

x = 15

Now we can find the length of either BC or CD and double it to get the total length.

BC

6x + 3

6(15) + 3

90 + 3

93

And when we double that, we get 186, which is the length of BD.

9 x 8 divided by (5-3)=36

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11