Answer:
3 miles = 5280 yds
5280 yds > 5,000 yds
in this case 3 miles is greater than 5,000 yards
Answer:
X 1 = -4,X 2 =12
EXPLANATION:
Determine the defined range
X+6/x=6/x-8,x#0,x#8
Simplify the equation using cross-multiplication
(X+6) x (x-8)=6x
Move variable to the left-hand side and change its sign
(X-6)x(x-8)-6x=0
Multiply the parentheses
X^2-8x+6x-48-6x=0
Since two opposites add up to zero, remove them from the expression
X^2-8x-48=0
Write -8x as a difference
X^2+4x-12x-48=0
Factor out x from the expression
Xx(x+4)-12x-48=0
Factor out -12 from the expression
Xx(x+4)-12(x+4)=0
Factor out from the expression
(x+4)x(x-12)=0
When the product of factors equals 0, at least one factor is 0
x+4=0
x-12=0
Solve the equation for x
X=-4
X-12=0
X=-4,x#0,x#8
Check if the solution is in the defined range
X=-4
x=12
The equation has 2 solutions
X 1 = -4,X 2 =12
Hope this helps
Step-by-step explanation:
by adding :
e=_4
d=24.....
Answer:
Option A) 4, 2
Step-by-step explanation:
We are given that quadrilateral ABCD is a parallelogram with sides:

Since the opposite sides of a parallelogram are equal, we can write:

Equating the sides we get,

Putting the values of x and y, we get:

Thus, the lengths of the opposite side pairs is 4,2.
Answer:

⇒
[Factorized form]
Step-by-step explanation:
Given expression:

We need to make
the subject.
In order to do that we need to solve the expression for
in terms of
and 
We have,

Subtracting both sides by 


Taking square root both sides in order to remove square of 


The difference of squares can be factorized and written as:
[difference of squares
]