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sergey [27]
3 years ago
9

Any help would be appreciated! ​

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
6 0

Use disruptive property

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If r=[x,y,z] and r0=[x0,y0,z0], describe the set of all points (x,y,z) such that Ir-r0I =1.
sdas [7]

Answer:

The points (x,y,z) that respond to Ir-r0I =1, are all that describes the form (x-x_0)^2+(y-y_0)^2+(z-z_0)^2=1 with:

-1+x₀<x<1+x₀

-1+y₀<y<1+y₀

-1+z₀<z<1+z₀

Step-by-step explanation:

All points required in this problem came from applying the definition of modulus of a vector:

Ir-r0I =1.

|(x,y,z)-(x_{0},y_{0},z_{0})|=|(x-x_{0},y-y_{0},z-z_{0})|=\sqrt{(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2}=1\\(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2=1^2=1

5 0
3 years ago
Which of these numbers is composite?7,9,23,47,67
Tresset [83]

Answer:9 is the only one


Step-by-step explanation:


8 0
3 years ago
PLEASE HELP<br> need to know cos(F), sin(F), and tan(F) <br> WILL GIVE BRAINLIEST
SVETLANKA909090 [29]

Answer:

Cos(F) = 5/13  

Sin(F) =  12/13

Tan(F) =  12/5

Step-by-step explanation:

Soh Sine: Opposite(12) over Hypotenuse(13)

Cah Cosine: Adjacent(5) over Hypotenuse(13)

Toa  Tangent: Opposite(12) over Adjacent(5)

7 0
3 years ago
What is the slope of the x axis?
ValentinkaMS [17]
The x axis is normally defined as Horizontal. Therefore, it is a slope of 0 degrees.
6 0
3 years ago
Read 2 more answers
Type the correct answer in the box. use numerals instead of words. a population of beetles increases by 5% every year. if at the
Allushta [10]

At the end of the third year the population of beetles will be 11,576beetles

<h3>Exponential equations</h3>

The standard form of an exponential function is given as:

y = ab^t

Given the following parameters

initial population 'a" = 10,000 beetles

Time = 3 years

rate b = 1.05

Substitute into the formula

y = 10,000(1.05)^3

y = 10,000(1.1576)
y = 11,576 beetles

Hence at the end of the third year the population of beetles will be 11,576beetles

Learn more on exponential function here: brainly.com/question/12940982

#SPJ4

4 0
2 years ago
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