Let P be the centroid of STU, and let SW be a median of STU. If SW = 6, find SP and PW.
1 answer:
Answer:
The length of SP is 2
The length of PW is 4
Step-by-step explanation:
Firstly, we need an image that represents the information given
Mathematically, we have that the centroid is at a position of 2/3 along the median
This means that the centroid will divide the median into two lengths with the length of one double the length of the other
Mathematically;
SW = SP + PW
where PW is the longer length
The length of PW will be;
2/3 * 6 = 4
The length of SP will be 6-4 = 2
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Answer:
Step-by-step explanation:
We wil define:
1) "x" as number of cans inside the truck.
2) "y" as number of bottles inside the truck.
We now that the amount of both cans and bottles inside the truck is "980". This quantity is equal to the sum of cans and bottles, so now we can write:
We will call this expression equation n° 1.
On the other hand, we know that the total weight is a sum of the weight of the cans and the weight of the bottles. The total weight of the cans, for example, is the result of multiplying the numbers of cans in the truck with the weight of each can, like here: (
So now we can write:
We well call this expression equation n° 2.
From equation n°1 we obtain "y", like this:
And we replace it in equation n°2:
Now we have the expression of the total weight considering the amount of cans in the truck.
*** IMPORTANT: there is a character similar to an "A" that i can't erase, maybe is a mistake from brainly. Do not consider it as part of the solution.