First picture:
You got the first two right (good job!), so I'll just tackle the third one. If you have to compute
, it means that you have to substitute
in place of
. Differently from the first two points, this will generate a new function, rather than a specific value:

Second picture:
Given the point
highlighted in the picture, you can deduce that the base is
units long (since it spans from
to
) and the height is
units long (because it spans from
to
). So, the area of the rectangle is the multiplication between base and height:

But we know that
, so we have

The domain of this function is given by the domain of the square root: we want its argument to be non, negative, so we have

But since the problem is symmetric, the answer is

You can only see the answer
because, if you choose
or
, the rectangle degenerates to a segment, and your exercise doesn't like this scenario, apparently
I have attached the graph of y = -x + 1.5
The line goes through the points (0,1.5) and (1.5,0)
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
In order to find the answer, we need to do as follows:
Average no. of people per km^2 = total no. of people ÷ total no. of people
Average no. of people per km^2 = 1, 080, 264, 388 ÷ 2, 973, 190
Average no. of people per km^2 = 363.335134317
Now we need to round the answer to the nearest whole number. In this case, we will be rounding down as displayed below:
Average no. of people per km^2 = 363 people
ANSWER:
Therefore, the answer is:
There are an average of 363 people per km^2 of land in India.
Please mark as brainliest if you found this helpful! :)
Thank you <3
Answer:
A = .785 inches ^2
Step-by-step explanation:
C = pi *d
We know the diameter = 2*r
C = pi*2*r
Substituting pi = 3.14 we can solve for r
3.14 = 2*pi*r
3.14 = 2*3.14 *r
Divide by 3.14 on each side
3.14/3.14 = 2*3.14 *r/3.14
1 = 2r
Divide by 2
1/2 =2r/2
1/2 =r
Now we can find the area
A = pi *r^2
A = 3.14 *(1/2)^2
A= 3.14 *1/4
A = .785 inches ^2
Answer: Like terms are -7 and 2. Simplified version would be 7d-5.
Step-by-step explanation:
first you would distribute, so it would be 7(d-1)+2 = 7d-7+2. Combine like terms. The only like terms here are -7 and 2, so just basically subtract -7 from 2 and you would get -5. you can't do anything with 7d because there is no like term for it.