Answer:
Step-by-step explanation:
The coordinates of your points, (1, –2, 5) and (0, 7, –4), are 3D (x, y, z) coordinates. They represent the diagonal of a rectangular prism.
The length of the sides are
x₂ - x₁ = |0 – 1| = 1
y₂ - y₁ = |7 – (-2)| = 9
z₂ - z₁ = |-4 – 5| = 9
The prism has the dimensions 9 × 9 × 1 as shown in the diagram.
We can use the Pythagorean theorem to calculate the length of the diagonal, d
Look first at the red diagonal on the base of the prism.
x² = 9² + 9² = 81 + 81 = 162
Now, look at the main diagonal.
d² = x² + h² = 162 + 1² = 162 + 1 = 163
d = √163 =12.8
<h3>Answer:</h3>
6 in
<h3>Explanation:</h3>
Let M be the midpoint of AB. ∆CMB and ∆CMA are both isosceles triangles, so CM = (AB)/2 = 9 in.
CG = (2/3)(CM) = (2/3)(9 in)
CG = 6 in
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<em>Comment on centroid and median</em>
The centroid of a triangle is located 1/3 the distance from the midpoint of a side to the opposite vertex. This is true for any median in any triangle. The proof can be developed from the fact that every median divides the triangle's area in half. Here, we just take advantage of this fact.
Khrewrftw5elytg00<span>At what distance along the central perpendicular axis of a uniformly charged disk of radius 0.600 m is the magnitude of the electric field equal to one half the magnitude of th</span>
Answer:
![\sqrt[3]{124} \text{ cm}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B124%7D%20%5Ctext%7B%20cm%7D)
Step-by-step explanation:
![s^3 = 124 \\ \\ s=\sqrt[3]{124} \text{ cm}](https://tex.z-dn.net/?f=s%5E3%20%3D%20124%20%5C%5C%20%5C%5C%20s%3D%5Csqrt%5B3%5D%7B124%7D%20%5Ctext%7B%20cm%7D)
Answer:
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Step-by-step explanation:
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