Answer:
46CM
Step-by-step explanation:
Perimeter = S + S + S + S + S + S + S +S
Perimeter = 9 + 7 + 8 + 5 + 5 + 8 + 2 + 2
Perimeter = 46 cm
The other 4 measurements:
5 is from the other side labelled 5 this is because they are equal.
8 is from the other side labelled 8 this is because they are equal too!
The twos are from the difference between 9 and 7.
HOPE THIS HELPED
Answer:
The workers will need 10 days to finish the job.
Step-by-step explanation:
To solve this question we can use a compound rule of three. We have:
10 road workers -> 5 days -> 2h/day
2 road workers -> x days -> 5h/days
The first thing we should do is analyze how the proportions between the variables work, if they're inversely or directly proportional. If we raise the number of workers we expect that the amount of days needed to finish the job lowers and if we raise the number of hours worked in a day we expect that the workers would need less days to finish the job. So we need to invert the fractions that are inversely proportional to the amount of days worked, then we have:
2 -> 5 -> 5
10-> x -> 2
x = (5*2*10)/(2*5) = 100/10 = 10 days
As given m is a midpoint of ab. So am is half of ab.
So we can write

As given am = 3x+3 , ab = 8x - 6.
So





So x = 6.
So length of am = 3x+3 = 3*6 + 3 = 21
To check for continuity at the edges of each piece, you need to consider the limit as
approaches the edges. For example,

has two pieces,
and
, both of which are continuous by themselves on the provided intervals. In order for
to be continuous everywhere, we need to have

By definition of
, we have
, and the limits are


The limits match, so
is continuous.
For the others: Each of the individual pieces of
are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.