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Vika [28.1K]
2 years ago
9

What is the length of MN? 52 units 6 units 4 units 10 units PLEASE HELP

Mathematics
1 answer:
Sladkaya [172]2 years ago
6 0

Answer:

  √52 units

Step-by-step explanation:

The segment MN is the hypotenuse of a right triangle that is 6 units wide and 4 units high. The Pythagorean theorem tells you its length is ...

  MN = √(6² +4²) = √(36 +16)

  MN = √52

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In the 1970s, due to world events, there was a gasoline shortage in the United States. There were often long lines of cars waiti
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Answer:

A line of cars will be about 9650000 feet

Step-by-step explanation:

Simple:

9.65*1,000,000=9650000

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6 0
3 years ago
Six times a number is equal to eight more than five times the number
MariettaO [177]
The number is 8. 8x6=48, 8x5=40, 48-40=8.
4 0
3 years ago
Let V denote the set of ordered triples (x, y, z) and define addition in V as in
icang [17]

Answer:

a) No

b) No

c) No

d) No

Step-by-step explanation:

Remember, a set V wit the operations addition and scalar product is a vector space if the following conditions are valid for all u, v, w∈V and for all scalars c and d:

1. u+v∈V

2. u+v=v+u

3. (u+v)+w=u+(v+w).

4. Exist 0∈V such that u+0=u

5. For each u∈V exist −u∈V such that u+(−u)=0.

6. if c is an escalar and u∈V, then cu∈V

7. c(u+v)=cu+cv

8. (c+d)u=cu+du

9. c(du)=(cd)u

10. 1u=u

let's check each of the properties for the respective operations:

Let u=(u_1,u_2,u_3), v=(v_1,v_2,v_3)

Observe that  

1. u+v∈V

2. u+v=v+u, because the adittion of reals is conmutative

3. (u+v)+w=u+(v+w). because the adittion of reals is associative

4. (u_1,u_2,u_3)+(0,0,0)=(u_1+0,u_2+0,u_3+0)=(u_1,u_2,u_3)

5. (u_1,u_2,u_3)+(-u_1,-u_2,-u_3)=(0,0,0)

then regardless of the escalar product, the first five properties are met for a), b), c) and d). Now let's verify that properties 6-10 are met.

a)

6. c(u_1,u_2,u_3)=(cu_1,u_2,cu_3)\in V

7.

c(u+v)=c(u_1+v_1,u_2+v_2,u_3+v_3)=(c(u_1+v_1),u_2+v_2,c(u_3+v_3))\\=(cu_1+cv_1,u_2+v_2,cu_3+cv_3)=c(u_1,u_2,u_3)+c(v_1,v_2,v_3)=cu+cv

8.

(c+d)u=(c+d)(u_1,u_2,u_3)=((c+d)u_1,u_2,(c+d)u_3)=\\=(cu_1+du_1,u_2,cu_3+du_3)\neq (cu_1+du_1,2u_2,cu_3+du_3)=cu+du

Since 8 isn't satify then V is not a vector space with the addition as in R^3 and the scalar product a(x,y,z)=(ax,y,az)

b)  6. c(u_1,u_2,u_3)=(cu_1,0,cu_3)\in V

7.

c(u+v)=c(u_1+v_1,u_2+v_2,u_3+v_3)=(c(u_1+v_1),0,c(u_3+v_3))\\=(cu_1+cv_1,0,cu_3+cv_3)=c(u_1,u_2,u_3)+c(v_1,v_2,v_3)=cu+cv

8.

(c+d)u=(c+d)(u_1,u_2,u_3)=((c+d)u_1,0,(c+d)u_3)=\\=(cu_1+du_1,0,cu_3+du_3)=(cu_1,0,cu_3)+(du_1,0,du_3) =cu+du

9.

c(du)=c(d(u_,u_2,u_3))=c(du_1,0,du_3)=(cdu_1,0,cdu_3)=(cd)u

10

1u=1(u_1,u_2,u3)=(1u_1,0,1u_3)=(u_1,0,u_3)\neq(u_1,u_2,u_3)

Since 10 isn't satify then V is not a vector space with the addition as in R^3 and the scalar product a(x,y,z)=(ax,0,az)

c) Observe that 1u=1(u_1,u_2,u3)=(0,0,0)\neq(u_1,u_2,u_3)

Since 10 isn't satify then V is not a vector space with the addition as in R^3 and the scalar product a(x,y,z)=(0,0,0).

d)  Observe that 1u=1(u_1,u_2,u3)=(2*1u_1,2*1u_2,2*1u_3)=(2u_1,2u_2,2u_3)\neq(u_1,u_2,u_3)=u

Since 10 isn't satify then V is not a vector space with the addition as in R^3 and the scalar product a(x,y,z)=(2ax,2ay,2az).

8 0
3 years ago
The largest part of landfills is made up of newspapers. A 30.48 cm stack of newspapers weighs about 15.87 kg. How many grams doe
Helga [31]
 <span>First find how many grams are in 15.87kg and how many meters are in 30.48cm 

15.87kg x 1000g/kg = 15, 870g 
30.49cm x 1m/100cm = 0.3049m 



Then, set up a proportion. 

0.3049m/15, 870g = 1m/x g 

Cross multiply to get.. 
0.3049x = 15, 870 

Divide for x and there you are.</span>Source(s):Myself.1004 <span>· 8 years ago

</span>
7 0
3 years ago
Read 2 more answers
Sally is going furniture shopping using her credit card. If her credit card has a lint of $2,000 and she is currently holding a
Elenna [48]

Although the question is a bit confusing, I believe the answer you are looking for is $2,763. If she can only go 2,000 past what she already has you just simply add it to the amount she does have.

2,000 + 763 = 2,763

Hope I helped!

Have a good day.

4 0
3 years ago
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