Answer:
Step-by-step explanation:a = m + (p-1)*d
b = m + (q-1)*d
c = m + (r-1)*d
p(b-c) = p*(q-r)*d
q(c-a) = q*(r-p)*d
r(a-b) = r*(p-q)*d
p(b-c)+q(c-a)+r(a-b)
= p*(q-r)*d + q*(r-p)*d +r*(p-q)*d
= (pq-pr+qr-pq+rp-qr)*d
= 0*d = 0
So i prove p(b-c)+q(c-a)+r(a-b)=0 hope this is helpfull
Answer:
Evening walk is shorter.
Step-by-step explanation:
We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.
Let us compare both fractions by making the same denominator.




Upon making common denominator, we can see that two-thirds are equal to four sixths.
Since three-sixths is less than four-sixths, therefore, evening walk is shorter.
We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.
We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.
Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.
Answer:
X= -1. Y=-5
Step-by-step explanation:
The x decreases by -1 and the y decreases by -5 .
Answer:
About 588.7 mm^3
Step-by-step explanation:
The formula for the volume of a sphere is (4/3)*pi (or in this case 3.14)*r^3, where r is the radius.
We need the radius. We are given the diameter, 10.4.
The radius is half the diameter, so 10.4/2=5.2.
Use r=5.2 and put it into the formula:
(4/3)*3.14*5.2^3≈588.7
Answer:
Total number of matches = 306 matches
Step-by-step explanation:
Given:
Total number of team = 18
Per team number of play = 2
Find:
Total number of matches
Computation:
Total number of matches = [(Total number of team x 2)(Total number of team -1)]/2
Total number of matches = [(18 x 2)(18-1)]/2
Total number of matches = 612 / 2
Total number of matches = 306 matches