Solve the question in the picture. I know that there is an equation where you'll get root 25 - x^2 plus root 32 - x^2 equals 7, but there has to be a better way.

CM = 4

Step-by-step explanation:

set CM=x and BM=y       AM= 7-y

right triangle BMC: x² = 5² - y² = 25 - y²   ... (1)

right triangle AMC: x² = (4√2)² - (7-y)² = 32 - 49 +14y - y² = -17 + 14y -y² ...(2)

(1)-(2): 0 = 42 - 14y

14y = 42

y (BM) = 3

x² (CM²) = 25 - 3² = 16

x (CM) = 4  (height is positive)

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x