Whattt reallyyyyyyyyyy woww

valentinak56 [21]

Answer:

|-3| = 3 and -|-4| = -4

Step-by-step explanation:

The absolute value function changes the sign to positive, if it isn't already. The usual rules of arithmetic and logic apply to these statements.

|-3| = 3 (true) and -|-4| = -4 (true) ⇒ this statement is true

|-3| = 3 (true) and |-4| = -4 (false) ⇒ this statement is false

-|3| = 3 (false) and |4| = 4 (true) ⇒ this statement is false

|-3| = 3 (true) and -|4| = 4 (false) ⇒ this statement is false

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Additional comment

A compound "and" statement is only true if all of the parts of it are true.

8 0

2 years ago

The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units. A solid right pyramid

Xelga [282]

Answer:

$6 x^2*\sqrt{3}$

Step-by-step explanation:

The base of the pyramid we need to study is a hexagon.

Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.

Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")

Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.

We know the area of a triangle is the product of its base times its height, divided by 2: $\frac{base*height}{2} = \frac{2x*height}{2}$

We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures $x\sqrt{3}$ , so replacing this value in the formula above for the area of one of the triangles:

$\frac{2x*height}{2}= \frac{2x*x\sqrt{3} }{2}=x^2\sqrt{3}$

Then we multiply this area times 6 to get the total area of the hexagon (6 of these triangles):

Area of hexagon = $6x^2\sqrt{3}$

which is the last option given in the list.

5 0

3 years ago

Read 2 more answers

10. Express the following as a single fraction. x-1 +x+2 + x 2 5 4

Margaret [11]

Answer:

x+x+x=3x

2-1=1

3x+1

this is ansver

3 0

3 years ago

Which of the following ratios is equivalent to 49:35?

Arte-miy333 [17]

The best way to find it is to reduce each ratio you work with to its
lowest terms,and see which ones are equal. To reduce a ratio to its
lowest terms, divide each number by their greatest common factor.

First, the one that you're trying to match: 49:35 .
The greatest common factor of 49 and 35 is 7 .
Divide each number by 7 . . . 7:5 . . . that's what you have to match.

7:4
Their greatest common factor is ' 1 '.
No help at all, and this one is not it.

14:25
Again, their greatest common factor is '1 '.
No help at all, and this one is not it.

21:15
Their greatest common factor is ' 3 '.
Divide both numbers by 3 . . . 7:5 .
That's it !

8 0

3 years ago

Read 2 more answers

The result of adding a complex number to its conjugate is “an integer/a pure imaginary number/a real number/a whole number” and

sineoko [7]

Answer:

If Z is a complex number:

Z = a + b*i

where a and b are real numbers, and i is an imaginary number.

Then "a" is the real part.

"b*i" is the imaginary part.

The conjugate of Z is:

Zc = a - b*i

So the sign of the imaginary part changes.

Then:

Sum:

Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a

and remember that a is a real number, then 2*a is also a real numer.

The correct answer is "A real number".

Difference:

Z - Zc = (a + bi) - (a - bi) = 2b*i

and this is a pure imaginary number, so here the correct answer is: "a pure imaginary number"

6 0

3 years ago