Three hikers started climbing with each hiker carrying 7.8 kilograms of weight. A fourth hiker joined them and they divided the total weight of hiking equipment evenly. How much did each hiker have after the 4th person joined? (Round your answer to two decimal places)

5.85 kilograms

Step-by-step explanation:

We are told that Three hikers started climbing with each hiker carrying 7.8 kilograms of weight.

Thus, total weight carried by them = 7.8 × 3 = 23.4 kilograms

Now a fourth person joined them and they divided the weight equally.

Thus, each hiker will now carry;

23.4/4 = 5.85 kilograms

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1