The value of x is 9.
Solution:
Proportionality theorem:
<em>If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>
In the given triangle, the middle line is parallel to the base, so the sides are in the same ratio.
Do cross multiplication.
⇒ 9 × 56 = 72(3x – 20)
⇒ 504 = 216 x – 1440
Add 1440 on both sides of the equation.
⇒ 1944 = 216 x
Divide by 216 on both sides of the equation.
⇒ 9 = x
Switch the sides.
⇒ x = 9
The value of x is 9.
Answer:
1.05 inches
Step-by-step explanation:
As the stretch varies directly with the amount of weight it means that a decrease in weight result in a proportional decrease of stretch.
Answer:
Domain of the function is Option 1. (-∞,1)∪(1,∞).
Step-by-step explanation:
In the question two functions have been given as
f(x) = (x-1)/2x and g(x) = (x-1)/x
Now we have to find a function defined as (f Ф g(x))
We put the value of g(x) in f(x) to find a new function defined as fФ(g(x))
⇒ fФ(g(x)) =
Now we multiply numerator and denominator by x.
fФ(g(x) =
=
The function is defined only if (x-1)>0 ⇒ x >1
and (x-1)<0 ⇒ x <1
So the domain will be the combined set of ( 1,∞) and (-∞,1) or (1,∞)∪(-∞,1).