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Reptile [31]
4 years ago
11

Help with this question, please!! I don't understand it. SHOW YOUR WORK.

Mathematics
1 answer:
algol [13]4 years ago
6 0

Answer:

d ≈ 14.6 units; M(2.5, 2, 6)

Step-by-step explanation:

The distance formula for 3 dimensions looks a lot like the one for 2 dimensions:

d = √((x2 -x1)^2 +(y2 -y1)^2 +(z2 -z1)^2)

Filling in the given numbers and doing the arithmetic, you find the distance between the points to be ...

d = √((6-(-1))^2 +(-3-7)^2 +(2-10)^2) = √(49+100+64) = √213 ≈ 14.6

__

The midpoint is the average of the end points:

M = ((6, -3, 2) +(-1, 7, 10))/2 = (5/2, 2, 6)

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3 years ago
The rectangle shown has length AC = 32, width
Elena-2011 [213]

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Step-by-step explanation:

See attachment for the figure

in order to determine Area of quadrilateral ABDF, we'll use the formula i.e

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whereas, area of AECD = (AC × AE)

Area of ΔBCD = 1/2 (BC x CD)

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Substituting in eq(1)

eq(1)=>

Area of quadrilateral ABDF =  (AC × AE)  - 1/2 (BC x CD)- 1/2 ( EF x ED)

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Therefore, the area of quadrilateral ABDF is 320 square unit

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3 years ago
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