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Vikki [24]
3 years ago
8

Find a normal vector n to the plane z−5(x−2)=2(8−y)

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0

A normal vector is the set of coefficients of x, y, and z when the equation is written in standard (or general) form.

Subtracting the left side, we have

... 2(8 -y) -z +5(x -2) = 0

... 16 -2y -z +5x -10 = 0

... 5x -2y -z +6 = 0 . . . . . general form

A normal vector is (5, -2, -1).

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Simplify the expression and show work.
nasty-shy [4]

Answer:

72/149

Step-by-step explanation:

Just to clarify, the curly braces mean the same thing as normal parenthesis.

(12 + 5^2) = (12 + 25) = 37

(-7-15)^2 = (-22)^2 = 484

6^3  = 216

(12 + 5^2) - (-7-15)^2 = 37 - 484 = 447

6^3 / ((12 + 5^2) - (-7 - 15)^2) = 216 / 447 = 72/149

4 0
2 years ago
The formula for potential energy is P = mgh, where P is potential energy, m is mass, g is gravity, and h is height. What is heig
Ivan

the height:

h = \frac{P}{mg}

(with g being the gravitational acceleration)

3 0
3 years ago
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Find the surface area of a triangular prism that has the following dimensions. Use the formula SA = 2B + Ph.
OverLord2011 [107]
Answer: The surface area of the triangular prism is 448 square millimeters.

To find the surface area, we just need to input our values into the formula that is given.

SA = 2B + Ph
SA = 2(84) + 56(5)
SA = 168 + 280
SA = 448

The final surface area is 448 mm^2.
7 0
3 years ago
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Round 1330.464489 to one decimal place
jolli1 [7]

Answer:

1330.5

Step-by-step explanation:

I rounded to the tenths place.

6 0
3 years ago
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You roll a six-sided dice numbered 1-6, and eight sided dice numbered 1-8, and a ten sided dice numbered 1-10. What is the proba
bezimeni [28]

Answer:

1/480

Step-by-step explanation:

<h3>for the 6 sided one</h3>

rolling a 5 is 1/6

<h3>for the 8 sided one</h3>

rolling a 5 is 1/8

<h3>for the 10 sided one</h3>

rolling a 5 is 1/10

total probability= 1/6*1/8*1/10

= 1/480

8 0
3 years ago
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