2 years ago

Need urgent help with this math

Mathematics

1 answer:

mash [69]2 years ago

6 0

Answer:

i need points so i am answering

Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

The sum of 6 consecutive integers is 204. what is the fourth number in this sequence?

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Let $x$ by the smallest of the 6 integers. Then

$x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=204$

$\implies6x+15=204$

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3 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Show that if u+v and u-v are orthognal, then the vectors u and v must have the same length.

pashok25 [27]

Answer with Step-by-step explanation:

We are given that

u+ v and u-v are orthogonal

We have to prove that u and v must have the same length.

When two vector a and b are orthogonal then

$a\cdot b=0$

By using the property

$(u+v)\cdot (u-v)=0$

We know that

$(a+b)\cdot (a-b)=\mid a\mid^2-\mid b\mid^2$

$\mid u\mid ^2-\mid v\mid^2=0$

$\mid u\mid^2=\mid v\mid^2$

Magnitude is always positive

When power of base on both sides are equal then base will be equal

Therefore,

$\mid u\mid=\mid v\mid$

Hence, the length of vectors u and v must have the same length.

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3 years ago