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2 years ago

Is there a real number whose square is −1? a. Is there a real number x such that ? b. Does there exist such that x2 = −1?

Mathematics

1 answer:

Sauron [17]2 years ago

5 0

Answer:

a. $x^2=-1$

b.a real number x

Step-by-step explanation:

We are given that statement.

We have to rewrite the given statement using variable or variables.

Statement:Is there a real number whose square is -1.

a.Let x bet the real number

The square of real number x written as $x^2$

According to question

$x^2=-1$

Therefore,

Is there a real number x such that $x^2=-1$

b.Does there exist a real number x such that

$x^2=-1$

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Step-by-step explanation:

Because x is the number of days passed, after 21 days, x = 21.

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2 years ago

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A baby otter was born 3/4 of a month early. At birth it's weight was 7/8 kilograms which is 9/10 kilogram less than the average

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Answer:

The average weight of new born otter was, $1\frac{31}{40}$

Step-by-step explanation:

Let average weight of new born otter be x.

As per the given statement: At birth it's weight was 7/8 kilograms which is 9/10 kilogram less than the average weight of a new born otter in the aquarium

" $\frac{9}{10}$ kg less than average weight of a new born otter" means $x-\frac{9}{10}$

As per the given information, we have;

$\frac{7}{8} = x -\frac{9}{10}$

Add $\frac{9}{10}$ both sides, we have;

$\frac{7}{8} + \frac{9}{10} = x$

Take LCM of 8 and 10 is, 40

⇒ $\frac{35+36}{40}=x$

Simplify:

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Therefore, the average weight of new born otter was, $1\frac{31}{40}$

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2 years ago

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If ΔMNO ≅ ΔXYZ, then what corresponding parts are congruent?

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Answer:

∠N and ∠Y

Step-by-step explanation:

When two triangles are congruent then there corresponding parts ( angle or sides ) are also congruent or equal, ( CPCTC )

In triangles MNO and XYZ,

Side MN, NO and OM are corresponding to XY, YZ and ZX respectively,

And, angles M, N and O are corresponding to angles X, Y and Z respectively,

Thus, if ΔMNO ≅ ΔXYZ

By CPCTC,

MN ≅ XY

NO ≅ YZ

OM ≅ ZX

Also, ∠M ≅ ∠X, ∠N ≅ ∠Y and ∠O ≅ ∠Z

Hence, THIRD OPTION is correct.

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2 years ago

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A plane is flying at 1000 meters above the ground and fires a laser 60 degrees of of straight down. what is the distance the lig

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Answer:

Step-by-step explanation:

The distance the light traveled to the ground is the range of the plane expressed as:

R = U*√2H/g

U is he velocity

H is the max height

g is the acc. due to gravity

Let us get U first using the formula

H = u²sin²Ф/2g

1000 = u²sin²60/2(9.81)

1000*19.62 = 0.8660u²

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u² = 19620/0.8660

u² = 22655.88

u = √22655.88

u = 150.52m/s

Next is to get the range

R = 150.52√2(1000)/9.81

R = 150.52 √2000/9.81

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2 years ago

A calculator has 50 keys in five colors:gray,black,blue,yellow,and green.There are 6 gray keys for every 7 blue keys.write the p

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A ratio is written in the form a : b. In this case, there are 6 gray keys for every 7 blue keys. So the ratio for gray to blue keys would be 6:7.
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2 years ago