Answer:
x = -2
Step-by-step explanation:
The tangent line has length "x + 8"
The secant line has length "x + 6 + 5", where
5 is the inner part
x + 6 is the outer part
Now,
the secant-tangent theorem tells us that square of the tangent line is equal to the outer segment of secant line multiplied by length of whole secant line.
So, we can say:
We can solve for x shown below:
The value of x is -2
Answer:
x = - 36
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 27 when x = 12, then
k = yx = 27 × 12 = 324, thus
y = ← is the equation of variation
When y = - 9, then
- 9 = ( multiply both sides by x )
- 9x = 324 ( divide both sides by - 9 )
x = - 36
Answer:
k=4
Step-by-step explanation:
-The constant of proportionality is defined as the ratio between two directly proportional variables.
-Given that B=4f
#The constant of proportionality is calculated as:
- the equation can be written in the form y=kx,
where y varies directly with x and k is the constant of variation:
Hence, B varies directly with f with a constant of proportionality k=4
