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3 years ago

Which of the following numbers is not part of the solution x ≤ -2

Mathematics

2 answers:

Ainat [17]3 years ago

8 0

Answer:

Step-by-step explanation:

In order for it to be the solution, it must be less than or equal to -2. D (-1.76) is bigger than -2, which means it is not a part of the solution.

Westkost [7]3 years ago

8 0

Answer:

Step-by-step explanation:

First of all, let's try all of the options available.

We know that x must be LESS THAN or EQUAL to -2

So, let's get on with it!

Option A:

Is -2.45 LESS THAN or EQUAL to -2?

Well, according to the number line, if the number is left of the number that you are comparing, -2 then it is less than.

So this option is alright.

Option B:

-2 is not LESS THAN but ONLY EQUAL to -2.

So this option I THINK is alright, but am not sure. But I think it is alright because if it is less than and equal to, then that means it ALSO INCLUDES -2.

Option C:

Again, -8 is located to the LEFT side of -2, which means -8 IS LESS THAN or Equal to -2.

So this option is alright.

Option D:

-1.76 is to the RIGHT side of -2, which means it is GREATER than -2.

So this option is CUT OFF

Hope this helps.

If you got it wrong , I am truly sorry... pls mark me brainliest if possible... I've never been marked that.

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Find the length to the nearest centimeter of the diagonal of a square 30 cm. on a side

tiny-mole [99]

Answer:

42 cm.

Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.

$AC^2=AD^2+DC^2$

Upon substituting our given values in above formula we will get,

$x^2=(30\text{ cm})^2+(30\text{ cm})^2$

$x^2=900\text{ cm}^2+900\text{ cm}^2$

$x^2=1800\text{ cm}^2$

Let us take square root of both sides of our equation.

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3 years ago

2. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i and 2-2i.

inna [77]

The polynomial equation for the given roots is x³-7x²+20x-24=0.

Given that, the polynomial equation of the smallest degree whose roots are 3, 2+2i and 2-2i.

Now, we need to write the polynomial equation.

<h3>What is a polynomial equation? </h3>

A polynomial equation is an equation where a polynomial is set equal to zero. i.e., it is an equation formed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It has different exponents. The highest one gives the degree of the equation. For an equation to be a polynomial equation, the variable in it should have only non-negative integer exponents. i.e., the exponents of variables should be only non-negative and they should neither be negative nor be fractions.

Now, x=3, x=2+2i and x=2-2i

x-3, x-2-2i and x-2+2i

So, the polynomial equation is (x-3)(x-2-2i)(x-2+2i)=0

⇒(x-3)(x(x-2-2i)-2(x-2-2i)+2i(x-2-2i))=0

⇒(x-3)(x²-2x-2xi-2x+4+4i+2xi-4i-4i²)=0

⇒(x-3)(x²-2x-2x+4-4i²)=0

⇒(x-3)(x²-4x+4+4)=0 (∵i²=-1)

⇒(x-3)(x²-4x+8)=0

⇒x(x²-4x+8)-3(x²-4x+8)=0

⇒x³-4x²+8x-3x²+12x-24=0

⇒x³-7x²+20x-24=0

Therefore, the polynomial equation for the given roots is x³-7x²+20x-24=0.

To learn more about the polynomial equation visit:

brainly.com/question/20630027.

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