Notice that
so that for each power of 2, there is a pattern of period 4. This means that for integers
, each of
,
,
, and
have the same units digit.
We can write
, and since
, it follows that
and
share the same units digits. So the units digit of
is 8.
Answer:
x = 1 and y = -2
Step-by-step explanation:
Given that,
2x-3y = 8 ..(1)
4x+3y = -2 ..(2)
Add equation (1) and (2),
2x-3y+4x+3y = 8+(-2)
6x = 6
x = 1
Put the value of x in equation (1).
2-3y = 8
2-8 = 3y
-6 = 3y
y = -2
Hence, the value of x is 1 and that of y is -2.
Given:
Polynomial
To find:
The values of x.
Solution:
Quadratic equation formula:
Here .
Substitute the values in the formula, we get
Option E and option F are the roots of the polynomial.
The values of x are .
Answer:
John ski down the mountain is 1285.37 feet.
Step-by-step explanation:
Given : John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21.
To find : About how far does John ski down the mountain ?
Solution :
We draw a rough image of the question for easier understanding.
Refer the attached figure below.
According to question,
Let AB be the height of mountain i.e. AB=1200 feet
The angle of depression is 21 i.e.
We have to find how far does John ski down the mountain i.e. AC = ?
Using trigonometric,
Therefore, John ski down the mountain is 1285.37 feet.