Answer:
1 3 0 2
4 5 2 0 8
− 4
1 2
− 1 2
0 0
− 0
0 8
− 8
0
Step-by-step explanation:
The distance between (-4,3,-6) and the origin is 
<h3>How to determine the distance?</h3>
The point is given as:
(x, y, z) = (-4,3,-6)
The origin is
(x, y, z) = (0,0,0)
The distance between the point and the origin is calculated as:

So, we have:

Evaluate

Hence, the distance between (-4,3,-6) and the origin is 
Read more about distance at:
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Im guessing 21 and 72 are the side lengths for the triangle?
Alright, so since it's a right triangle you can use the Pythagorean theorem or a^2+b^2=c^2
Since i cant see the picture, im going to use some general math <span>so i</span> can figure out if those two sides are the legs or if one of them is the hypotenuse
Alright
so im guessing the side we're trying to find is the hypotenuse
21^2+72^2=c^2
441+5184=c^2
5625=c^2
<span>√5625=c</span>
75=c
The answer is 75, hope i helped!
Answer:
The weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.
Explanation:
1- Direct proportional means that when the weight of the turkey increases, the time required to cook it increase with the same amount, and vice versa
2- Inverse proportional means that when the weight of the turkey increases, the time required to cook it decrease, and vice versa
2- No proportionality relation means that the two are not related to each other.
Now, for the given problem, we are given that:
i. 10lb turkey takes 3 hours to cook
ii. an additional 12 minutes is added for every extra 1lb of turkey
Therefore:
If we have 10lb turkey ......> time required = 3 hr
If we have 11lb turkey .......> time required = 3 hr + 12 min
If we have 12lb turkey .......> time required = 3 hr + 12 min + 12 min
If we have 13lb turkey .......> time required = 3 hr + 12 min + 12 min + 12 min
Noticing the pattern, we can find that:
time required to cook the turkey increases as the weight of the turkey increases but not at the same rate.
This means that when the weight of the turkey is doubled, the time increases, however, it is not doubled.
This means that the weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.
Hope this helps :)