A. Always
These lines<span> are </span>perpendicular<span> since their slopes are negative reciprocals.</span>
Answer:
area = 20x^2 - 10x - 30
Step-by-step explanation:
5(4x2 - 2x - 6)
area = 20x^2 - 10x - 30
Answer:
option-B
Step-by-step explanation:
we know that
Sum rule of logarithm:

which is same as
the log of a product (ab) is equal to the addition of log a nad log b
Subtraction rule of logarithm:

which is same as
the log of the quotient of a and b is equal to the log of a minus the log of b
Exponent rule of logarithm:

which is same as
the log of the quantity a raised to b is equal to the product of b and the log of a
so,
option-B is not correct
Let the present age of student be x
Present of teacher will be 4x
After 20 years,
Age of student = x + 20
Age of teacher = 4x + 20
According to the given condition after 20 years,
x + 20 = (4x + 20)/2
x + 20 = 2x + 10
2x - x = 20 - 10
x = 10
So student's present age is 10 years while teacher's is 4 x 10 i.e 40 years.
Hope This Helps You!
Answer:
The length of the rectangular field is 12 ft and the width is 5 ft.
Step-by-step explanation:
The area of a rectangle is:

The area of a rectangular field is, <em>A</em> = 60 ft.
The length of the field is:
l = w + 7
Compute the width of the field as follows:


Factorize the last equation by splitting the middle term as follows:

Now, since the width of rectangular field cannot be negative, the width is 5 ft.
Compute the length as follows:
l = w + 7
= 5 + 7
= 12
The length of the rectangular field is 12 ft.