Hello,
A=(4,2)
B=(2,8)
(AB)≡y-2=(x-4)*(8-2)/(2-4) ==> y=-3x+14
(BC)≡y-8=(x-2)*1/3 ==> y=1/3 x+22/3

Integrating gives

To compute the integral, substitute
, so that
. Then

Since
for all
, we can drop the absolute value, so we end up with

Given that
, we have

so that

Answer:
Read below !!
Step-by-step explanation:
Since you are already given the full equation, you would just follow the steps of plotting a line! I start usually by plotting the y-intercept, which is always on the y-axis. In this case, that would be -4 ! You mark -4 on the line, and from there, you would use RISE/RUN to find out the slope of the line. Since it's 2/3, you would rise 2, and go to the right 3, all from the point -4. You should do that about two times in order to get your line !!
I hope this helps !!
Answer:
x=24.583
Step-by-step explanation:
first, find a common multiple of both 50 and 6. I used 150, I turned 2.95 into 73.75. so 73.75/150 reduced into '50s would be 24.583. or you can just say 2.95/6= 24.58/50. you can also use an online calculator if you believe that this is incorrect
Answer:
The probability can be written as;
6/18
0.333
33.3%
Step-by-step explanation:
First we find the total number of marbles.
4 + 5 + 6 + 3 = 18
Now write the probability in the form of (favourable outcomes / possible outcomes), or 6/18.
Now let's divide.
6 ÷ 18 = 0.33333333... repeating decimal
0.333 × 100 = 33.33333.....%
We can also round this to 33%