Answer:

Step-by-step explanation:
<u>Linear Combination Of Vectors
</u>
One vector
is a linear combination of
and
if there are two scalars
such as

In our case, all the vectors are given in
but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.
We have

We set the equation

Multiplying both scalars by the vectors

Equating each coordinate, we get



Adding the first and the third equations:


Replacing in the first equation



We must test if those values make the second equation become an identity

The second equation complies with the values of
and
, so the solution is

Let x = small number
Let y = large number
Because they are consecutive even numbers,they must have a difference of 2:
y-x=2
y=2+x
Eqn 1: x+(2+x)=14
Eqn 2: x(2+x)=48
2x+2=14
2x=12
x=6
This means y must be 8
so your two numbers are 6 and 8
Answer:
.125
Step-by-step explanation: To convert 1/8 to a decimal, divide the denominator into the numerator. 1 divided by 8 = . 125. To convert the decimal .
Answer:
The central angle is within the range π to 3π/2
Step-by-step explanation:
To convert from degrees to radians, we multiply the angle in degrees by 180/π.
To convert from radians to degree, we multiply the angle in radians by 180°/π.
π/2 = π/2 X 180°/π= 90°
π rad = π X 180°/π= 180°
3π/2 = 3π/2 X 180°/π= 270°
2π = 2π X 180°/π= 360°
Therefore the angle 250 which is between 180 and 270 is within the range :
π to 3π/2