9514 1404 393
Answer:
C
Step-by-step explanation:
When you cross multiply by denominator expressions that share a zero, you are effectively making that zero a solution of the resulting equation. That zero cannot be part of the domain of the original equation, and so must be an extraneous solution.
This condition is seen in choice C.
The solutions to this equation are x=1/5 and x=3. Of these, x=3 is extraneous.
__
A better solution method is multiplying by the least common denominator:
Answer:
The answer would be 53
Step-by-step explanation:
Originally we have
length = x
width = x-2
since the width is 2 inches smaller than the length
now let's triple each dimension. Multiply the expressions by 3 to get
new length = 3*x
new width = 3*(x-2) = 3x-6
Now onto the area
area = (length)*(width)
area = (3x)*(3x-6)
area = 3x*3x-3x*6
area = 9x^2 - 18x
So the new larger rectangle has area of 9x^2-18x
Answer:
The top cable is <em>115.52 feet </em>long
The bottom cable is<em> 110.86 feet</em> long
Step-by-step explanation:
The ground anchor #2, the tower, ground level, and both cables form a figure made of two right triangles as shown in the figure below
We are required to compute L1 and L2 which are the hypotenuses of both triangles from which we have both legs
We'll apply the Pythagoras's theorem. If a and b are the legs of a right triangle and c its hypotenuse, then
For the bottom ground support cable, a=41, b=103
=110.86\ feet
For the top ground support cable, a=41, b=108
=115.52\ feet
The top cable is 115.52 feet long
The bottom cable is 110.86 feet long
Answer:
50.90 cm
Step-by-step explanation:
The computation of the circumference of this circle is shown below:
As we know that
The circumference of this circle is
= 2πr
where
π is 3.142
r = diameter ÷ 2
= 16.8 ÷ 2
= 8.1 cm
So, the circumference of the circle is
= 2 × 3.142 × 8.1 cm
= 50.90 cm