1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
egoroff_w [7]
3 years ago
9

2√m^2 if m is greater than or equal to 0

Mathematics
2 answers:
mel-nik [20]3 years ago
5 0

Answer:

2m

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • 2√m² , m is greater than or equal to 0 .

By question,

→ 2√m²

→ 2 * m

→ 2m

iris [78.8K]3 years ago
3 0

Answer:

\displaystyle  \boxed{|2m| }

Step-by-step explanation:

we are given that

\displaystyle 2 \sqrt{  {m}^{2} }

since m is greater than or equal to 0 it's a positive number therefore, the square root of m is defined and recall that √x²=|x| thus

\displaystyle  \boxed{2 |m|}

remember that,|a|•|x|=|ax| hence,

\displaystyle  \boxed{ |2m|}

and we're done!

You might be interested in
You are a lifeguard and spot a drowning child 60 meters along the shore and 40 meters from the shore to the child. You run along
sukhopar [10]

Answer:

The lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

Step-by-step explanation:

This is a problem of optimization.

We have to minimize the time it takes for the lifeguard to reach the child.

The time can be calculated by dividing the distance by the speed for each section.

The distance in the shore and in the water depends on when the lifeguard gets in the water. We use the variable x to model this, as seen in the picture attached.

Then, the distance in the shore is d_b=x and the distance swimming can be calculated using the Pithagorean theorem:

d_s^2=(60-x)^2+40^2=60^2-120x+x^2+40^2=x^2-120x+5200\\\\d_s=\sqrt{x^2-120x+5200}

Then, the time (speed divided by distance) is:

t=d_b/v_b+d_s/v_s\\\\t=x/4+\sqrt{x^2-120x+5200}/1.1

To optimize this function we have to derive and equal to zero:

\dfrac{dt}{dx}=\dfrac{1}{4}+\dfrac{1}{1.1}(\dfrac{1}{2})\dfrac{2x-120}{\sqrt{x^2-120x+5200}} \\\\\\\dfrac{dt}{dx}=\dfrac{1}{4} +\dfrac{1}{1.1} \dfrac{x-60}{\sqrt{x^2-120x+5200}} =0\\\\\\  \dfrac{x-60}{\sqrt{x^2-120x+5200}} =\dfrac{1.1}{4}=\dfrac{2}{7}\\\\\\ x-60=\dfrac{2}{7}\sqrt{x^2-120x+5200}\\\\\\(x-60)^2=\dfrac{2^2}{7^2}(x^2-120x+5200)\\\\\\(x-60)^2=\dfrac{4}{49}[(x-60)^2+40^2]\\\\\\(1-4/49)(x-60)^2=4*40^2/49=6400/49\\\\(45/49)(x-60)^2=6400/49\\\\45(x-60)^2=6400\\\\

x

As d_b=x, the lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

7 0
3 years ago
(a+4)² - 3²<br> Factored out
uranmaximum [27]

Answer:

a =  - 7

a =  - 1

Step-by-step explanation:

(a+4) {}^{2}  - 3 {}^{2}  \\ a {}^{2}  + 8a + 16 - 9 \\ a {}^{2}  + 8a + 7 \\ a {}^{2}  + a + 7a + 7 \\ a(a + 1) + 7(a + 1) \\ (a + 7)(a + 1) \\ a + 7 = 0 \:  \:  \:  \: or \:  \:  \:  \: a + 1 = 0 \\ a =  - 7 \:  \:  \:  \: \:  \:  \:  \:  or \:  \:  \: a =  - 1

8 0
3 years ago
PLEASE HELP :(((((((((((((((((
Goshia [24]

Answer:

okay so you multiply the price of the snakes by how much he bought which is $5.00 so you can subtract $5 - $8 and you get $3.00 so that is how much is left over. Now you want to divide $3.00 by 2 and now you get $1.50. So each soda costed $1.50

5 0
3 years ago
Read 2 more answers
A bakery has 42 donuts and 24 muffins for sale. What is the ratio of muffins to donuts
Lana71 [14]
The ration is 12 muffins to every 21 donuts
6 0
3 years ago
Read 2 more answers
If i= the square root of -1 what is the value of i^3
BARSIC [14]

i =√-1

i^2 = -1

so

i^3

= i^2 * i

=  -1√-1

= - √-1

5 0
3 years ago
Other questions:
  • What is the common ratio of the following sequence? -3, -12, -48, -192
    6·1 answer
  • What is the justification for each step in the solution of the equation?
    8·2 answers
  • Please help as soon as possible???<br><br> All of the following are equivalent except???
    10·1 answer
  • What is the answers of 2ft × 4ft
    7·2 answers
  • A crop initially has N₀ Bacterias. After 1 hour the crop has reached ( 3/2 ) N₀ Bacterias. If the rapid growth in that crop is p
    6·1 answer
  • What is the area of a regular octagon with a apothem of 16 inches long and a side of 19 in Long round the answers to the nearest
    9·2 answers
  • Which statement correctly compares the function shown on this graph with
    7·1 answer
  • Jane use 6 teaspoons and 10 cups of water if he wanted to maintain the same ratio how many teaspoons of salt would she need for
    11·1 answer
  • There are 88 girls and 96 boys in the sixth-grade what is the rate of girls to boys
    7·1 answer
  • Pete sold 320 boxes of donuts with a dozen in each box. How many donuts did he sale in all?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!