Answer:
By the Pythagorean theorem, the diagonal length (d) of the square is
d² = 7² + 7²
d = √98 ≈ 9.8995
Since the diameter of the circle (11 cm) is greater than the diagonal length of the square (9.9 cm), you know the square will fit into the circle without touching.
Step-by-step explanation:
Answer:
x= -12
Step-by-step explanation:
-22+10 = -12
you have to do the opposite operation
Answer:
Step-by-step explanation:
The initial amount invested is P0
Say it is compounded periodically either quarterly or monthly or semi annually with interest r%
If for a period interest is r%
Then after first period principal = principal+simple interest
=
where n is the no of times in a year it is compounded. n = 4 if quarterly, 12 if annually, etc
At the end of II period we have
Principal =
So for interest again the process is repeated
Thus we repeat this nt times which result in power with nt
Hence the formula
Answer:
(x4+1)(x2-2)
Step-by-step explanation:
x6-2x4+x2-2
separate them into two different expressions
(x6-2x4)+(x2-2)
factor out the common factor for each expression. For (x6-2x4), it would be x4, and for (x2-2), it would just be 1
x4(x2-2)+1(x2-2)
since there both expressions have the same factor, you can do a reverse of the distribution property and factor it like
(x4+1)(x2-2)
Answer:

Step-by-step explanation:
Given


Required
Determine an equation that perpendicular to the equation
An equation has the form:

Where

By comparison:

Next, we determine the slope of the new line.
When two lines are perpendicular, the following relation exist:

Substitute 1/5 for m1


The equation of the line is then calculated using:

Where:
and 
This gives:


