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3 years ago

Which of the following is irrational? 4.63 1 3 −8 11

Mathematics

1 answer:

Nikitich [7]3 years ago

5 0

-8 because it falls under zero in the number line and the rest dont

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Simplify the expression (3+i)(2+i)

vovikov84 [41]

Answer:

Step-by-step explanation:

hello :

(3+i)(2+i) = 6+3i+2i+i² but : i² = -1

(3+i)(2+i) = 5+5i

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3 years ago

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Show that a discrete metric on a vector space X≠{0} cannot be obtained from a norm (the pair (X,d) is called the discrete metric

topjm [15]

You know that the discrete metric only takes values of 1 and 0. Now suppose it comes from some norm ||.||. Then for any α in the underlying field of your vector space and x,y∈X, you must have that

∥α(x−y)∥=|α|∥x−y∥.

But now ||x−y|| is a fixed number and I can make α arbitrarily large and consequently the discrete metric does not come from any norm on X.

Step-by-step explanation:

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2 years ago

The difference of four times a number and seven is ten more than the number.

frozen [14]

Can you elaborate more please

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3 years ago

a(x+b)=4x+10 in the equation above a and b are constants. if the equation has infinitely many solutions for X, what is the value

xeze [42]

Answer:

$b= \frac{5}{2}$

Step-by-step explanation:

Given

$a(x+b)=4x+10\\ax+b= 4x+10\\$

Now we know that system has infinite solution for x

$\frac{a_1}{a_2}=\frac{b_1}{b_2}$

in above equation.

$a_1=a, a_2=4, b_1=ab,b_2=10\\$

∴ $\frac{a}{4}=\frac{ab}{10}\\\therefore b=\frac{10\times a}{4\times a}=\frac{5}{2}$

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3 years ago

A seat’s position on a Ferris wheel can be modelled by the function y = 18 cos 2.8(x + 1.2) + 21, where y represents the height

Hitman42 [59]

Step-by-step explanation:

A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.

h=-16t^2+16t+320

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3 years ago

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