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DaniilM [7]
3 years ago
10

Find a formula for the distance from the point​ P(x,y,z) to each of the following planes. a. Find the distance from​ P(x,y,z) to

the​ xy-plane. b. Find the distance from​ P(x,y,z) to the​ yz-plane. c. Find the distance from​ P(x,y,z) to the​ xz-plane
Mathematics
1 answer:
BARSIC [14]3 years ago
7 0

Answer:

Distance to the xy-plane = |z|

Distance to the yz-plane = |x|

Distance to the xz-plane = |y|

Step-by-step explanation:

The distance from P(x,y,z) to the xy-plane is by definition the magnitude of the vector that goes from the perpendicular projection of P over the xy-plane to the point P, which is exactly the magnitude of the vector (0,0,z) = |z| the absolute value of z

Similarly, the distance from P to the yz-plane is |x| and the distance from P to the xz-plane is |y|

Distance to the xy-plane = |z|

Distance to the yz-plane = |x|

Distance to the xz-plane = |y|

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What is the volume of a cube with length 4 inches? V=lwh
Nata [24]
The answer is:  "64 cubic inches" ;  or, write as:  "64 in³ " .
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Explanation:

V = L * w * h ; 

  = (4 inches) * (4 inches) * (4 inches) ;  

(since a "cube" has the same length, width, and height)
  
 =  (4*4*4) inches * inches * inches) ;

 = 16 * 4 * inches³ ;

= 64 inches³ ; or, write as: "64 in³ " ; or, write as:  "64 cubic inches" .
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5 0
3 years ago
4n-(7-6n)<br><br><br> Helppp plz
belka [17]
4n - (7-6n)
4n -7 +6n (multiply minus to 7-6n)
10n -7 is the answer
4 0
3 years ago
Given the following coordinates complete the glide reflection transformation.​
Romashka [77]

Answer:

A" = (7,-2)

B" = (10,0)

C"=  (12,-3)

Step-by-step explanation:

Given

A = (4,2)

B = (7,0)

C =(9,3)

a: Reflect over x-axis

The rule of this is:

(x,y) \to (x,-y)

So, we have:

A' = (4,-2)

B' = (7,0)

C' = (9,-3)

b: Shift 3 units left

The rule of this is:

(x,y) \to (x+3,y)

So, we have:

A" = (4+3,-2)

A" = (7,-2)

B" = (7+3,0)

B" = (10,0)

C"=  (9+3,-3)

C"=  (12,-3)

4 0
2 years ago
The National Safety Council publishes information about automobile accidents in Accident Facts. According to that document, the
vladimir1956 [14]

Answer:

P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}

In which x is the number of which we want to find the probability.

Step-by-step explanation:

For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.

This means that p = 0.4

Eight traffic fatalities

This means that n = 8

Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

This is P(X = x), in which x is the number of which we want to find the probability. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}

3 0
3 years ago
Help please i need help asap
hram777 [196]
What do you need help with? you have nothing here to answer

3 0
3 years ago
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