Answer:
BD - AC = 0
Step-by-step explanation:
Given that:
BC = 36 , CD = 15 and BD = x
As these are forming right angled triangle,
Using Pythagorean theorem,

Taking square root on both sides

As the given shape is rectangular, the sides parallel to each other will have same values.
AB = 15 , AD = 36 and AC = x

Now,
BD - AC = 39 - 39 = 0
Hence,
BD - AC = 0
Answer:
Step-by-step explanation:
The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding
<u>Corresponding angles sum to 180</u>
- (2x - 10) + (4x + 16) = 180
- 6x + 6 = 180
- 6x = 174
- x = 174/6
- x = 29
Answer:
3.370459909
Step-by-step explanation:
Figure out the arithmetic mean of the numbers (22.8)
Subtract the mean from each number and square the difference
Add up the squared differences and divide the number by 5
Square root answer
The answer is 18
75/x = 100%/24%
x/75 = 24/100
you’re answer is 18
A three-dimensional vector field is conservative if it is also irrotational, i.e. its curl is

. We have

so this vector field is not conservative.
- - -
Another way of determining the same result: We want to find a scalar function

such that its gradient is equal to the given vector field,

:

For this to happen, we need to satisfy

From the first equation, integrating with respect to

yields

Note that

*must* be a function of

only.
Now differentiate with respect to

and we have

but this contradicts the assumption that

is independent of

. So, the scalar potential function does not exist, and therefore the vector field is not conservative.