Answer:
b = -T²/k(k-m) + k
Step-by-step explanation:
Given the equation T =√k(k-b)(k-m), we are to make b the subject of the formula
Square both sides
T² = (√k(k-b)(k-m))²
T² = k(k-b)(k-m)
T²/k(k-m) = k-b
Rearrange
k - b = T²/k(k-m)
b - k = - T²/k(k-m)
Add j=k to both sides
b - k + k = - T²/k(k-m) + k
b = -T²/k(k-m) + k
This gives the required expression
Answer:

Step-by-step explanation:
3x-2y=24......eqi
x+2y=48........eqii
now solving eq i&ii
4x=72
x=72/4
x=18
now putting the value of x in eqii
18+2y=48
2y=48-18
y=30/2
y=15
Answer:

Step-by-step explanation:
Please refer to the attached figure for labeling of given diagram:
We are given the following angles:

Angles opposite to each other when they are formed by crossing of two lines are known as vertically opposite angles. And vertically opposite angles are always equal to each other.
Using property of vertically opposite angles:

Line CD is a straight line, so 
Also,

Hence, <em>answer</em> is
.
Answer:
x=9
Step-by-step explanation:
Distribute: 6x-48=6
Plus 48: 6x=54
x=9