The magnitude of the vector from the origin is 10
The unit vector in of the vector from the origin as (8/10, -6/10
<u>Step-by-step explanation:</u>
<u>1.Finding the magnitude,</u>
we have the formula,
magnitude=√a²+b²
we have the values as a=8 and b=-6
Finding the magnitude we get,
magnitude=√a²+b²
magnitude=√8²+6²
magnitude=√100
magnitude=10
The magnitude of the vector from the origin is 10
<u>2.Finding the unit vector</u>
Divide by the magnitude
Unit vector: (8/10, -6/10)
The unit vector in of the vector from the origin as (8/10, -6/10
$19.4
Step-by-step explanation:
Simple Interest=SI
Principle(deposit)=P(97)
Rate= R(4/100=0.04)
Time= T(5)
SI=P•R•T
SI=97x0.04x5
SI=19.4
Interest earned = $19.4
Answer:
it is B. -11 and 47
Step-by-step explanation:
you have to take away 47 and 11 and it equals 36.
ANSWER:
x = 10 / 3
y = 0
STEP-BY-STEP EXPLANATION:
We will be using simultaneous equations to solve this problem. Let's first establish the two equations which we will be using.
Equation No. 1 -
- 6x - 14y = - 20
Equation No. 2 -
- 3x - 7y = - 10
First, we will make ( x ) the subject in the first equation and simplify accordingly.
Equation No. 1 -
- 6x - 14y = - 20
- 6x = - 20 + 14y
x = ( - 20 + 14y ) / - 6
x = ( - 10 + 7y ) / - 3
From this, we will make ( y ) the subject in the second equation and substitute the value of ( x ) from the first equation into the second equation to solve for ( y ) accordingly.
Equation No. 2 -
- 3x - 7y = - 10
- 7y = - 10 + 3x
- 7y = - 10 + 3 [ ( - 10 + 7y ) / - 3 ]
- 7y = - 10 + [ ( - 30 + 21y ) / - 3 ]
- 7y = - 10 + ( 10 - 7y )
- 7y = - 7y
- 7y + 7y = 0
0y = 0
y = 0
Using this, we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ) accordingly.
x = ( - 10 + 7y ) / - 3
x = [ - 10 + 7 ( 0 ) ] / - 3
x = [ - 10 + 0 ] / - 3
x = - 10 / - 3
x = 10 / 3
