Answer with Step-by-step explanation:
We are given that
u+ v and u-v are orthogonal
We have to prove that u and v must have the same length.
When two vector a and b are orthogonal then

By using the property

We know that



Magnitude is always positive
When power of base on both sides are equal then base will be equal
Therefore,

Hence, the length of vectors u and v must have the same length.
We are given
Clare is paid $90 for 5 hours of work
Total money paid =$90
total hours of work =5 hours
so, firstly we will find rate of work
rate of work = ( total money paid)/( total hours of work)
now, we can plug values
and we get
The rate of work is

$/ hour
now, we have to find time for amount paid is 25 cents
so, amount paid =25 cents
100 cents =1$
so, amount paid =$ 0.25
Since, the rate is constant
so, we can take same rate here
now, we can use formula
rate of work = ( total money paid)/( total hours of work)
now, we can plug values

now, we can solve for T
hour
since, T is in hours
so, we can change into seconds
1 hour =3600seconds
so, we can plug
seconds
seconds......................Answer
2.17720 × 10^2 is the answer
Answer:
Find 6.75% of 260
Step-by-step explanation:
Hi
Answer: Our required values would be -10x+5, 2x+5 and -25.
Step-by-step explanation:
Since we have given that
g(x) = -4x+5
and
h(x) = 6x
We need to find (g-h)(x) and (g+h)(x).
So, (g-h)(x) is given by

and (g+h)(x) is given by

and (g-h)(3) is given by

Hence, our required values would be -10x+5, 2x+5 and -25.