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Bogdan [553]
2 years ago
15

What is the value of the expression below? |-12|

Mathematics
2 answers:
NNADVOKAT [17]2 years ago
5 0

Answer:

12

Step-by-step explanation:

The absolute value is the distance of a number to zero, which is always a positive number. |-12| is 12 units away from zero and therefore, the answer is 12.

Anit [1.1K]2 years ago
4 0

Answer:

the absolute value is 12

Step-by-step explanation:

the absolute value is 12 since that is the distance from 0.

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Which of the following points is in the solution set of y < x^2-2x-8
enot [183]

Answer:

y < (x - 4)(x + 2)

so the critical points are -2 and 4

(-2,-1) will be in the solution

( 0,-2) will not  

(4,0) will not.

the answer is ((-2,-1)



3 0
3 years ago
Read 2 more answers
The area of a right triangle is sixty square centimetres. Its base is one centimetre less than twice its height. If the base and
NemiM [27]

Answer:

5. None of the above

Step-by-step explanation:

We have this information:

A = 60 cm2

b = 2*h - 1

Let's find out b and h:

The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have

60 = ((2*h - 1) * h)/2\\ 120 = 2*h^2 - h\\ 0 = 2*h^2 - h - 120

Let's find h with the quadratic formula:

\fbox {Quadratic formula:}  \frac{-b\pm\sqrt{b^2-4ac}}{2a}

h = \frac{-(-1)\pm\sqrt{(-1)^2-4*2*(-120)}}{2*2} = \frac{1\pm\sqrt{961}}{4} = \frac{1\pm\ 31}{4}

h = 8 or h = -7.5

But h represents the height of the triangle, so it has to be a positive number, that's h = 8.

If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.

Now we can calculate the hypotenuse with the Pythagorean equation  

\fbox {Pythagorean equation:} <em>The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle). </em>

The base and the height are our legs. We will use "H" for the hypotenuse

H^2 = b^2 + h^2 = 15^2 + 8^2 = 289\\ H = \sqrt {289} = 17

H = 17

If we decrease the base and the height by 2 centimeters, we have  

b' = 15 - 2 = 13 and h' = 8 - 2 = 6

With this, let's calculate the new hypotenuse:

H'^2 = b'^2 + h'^2 = 13^2 + 6^2 = 205\\ H' = \sqrt {205} \approx 14.3

H' \approx 14.3

So, the hypotenuse decreases H - H' \approx 17 - 14.3 = 2.7

3 0
3 years ago
Assume that $4,000 I deposited into an investment account doubled in value over a six year period. What annual interest rate mus
Novay_Z [31]

Answer:

Interest rate is about 12.246%

The initial deposit doesn't matter because when you divide both sides by the initial deposit you're always left with (1+i)ⁿ=2

Step-by-step explanation:

4000(1+i)^6=8000\\(1+i)^6=2\\1+i=\sqrt[6]{2} \\1+i=1.122462048\\i=.12246

6 0
3 years ago
A full bathtub drains at a constant rate. The amount of water im it changes by -4 1/2 gallons in 3/4 minute. What is the rate on
Firdavs [7]

Answer:

-6 gal/min

Step-by-step explanation:

(-4 1/2 gal)/(3/4 min) =

= (-4.5 gal)/(0.75)

= -6 gal/min

Answer: -6 gal/min

3 0
3 years ago
Which expression is equivalent to x^-5/3
Leviafan [203]

Answer:

15

Step-by-step explanation:

4 0
3 years ago
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