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
vredina [299]
3 years ago
12

Solution to m^2- 36=0

Mathematics
1 answer:
alex41 [277]3 years ago
4 0

Answer:

m=(-6,6)

Step-by-step explanation:

m^2 -36 = 0

Reorder the terms:

-36 + m^2 = 0

Solving for variable 'm'.

 Add '36' to each side of the equation.

-36 + 36 + m^2 = 0 + 36

Combine like terms: -36 + 36 = 0

0 + m^2 = 0 + 36

m^2 = 0 + 36

Combine like terms: 0 + 36 = 36

m^2 = 36

Simplifying

m^2 = 36

Take the square root of each side:

√m^2=+/-√36

m=(+/-)6

m = {-6, 6}

You might be interested in
What is the value of x in the equation 0.2(x 1) 0.5x = –0.3(x – 4)? negative seven-halves –1 1 seven-halves
Paraphin [41]

The value of the variable x equation 0.2x+0.2+0.5x=-0.3x+1.2 is x=1.

Given a linear equation 0.2x+0.2+0.5x=-0.3x+1.2

Equation is a combination between two or more variables which is usually expressed in equal to form. Equation of two variable looks like ax +by=c. It is solved to find the quantity of x.

Given equation is as under:

0.2x+0.2+0.5x=-0.3x+1.2

It is a linear equation and will have only 1 solution. Linear equation is a equation which is having a straight line graph.

Adding the coefficients of variable

0.7x+0.2=-0.3x+1.2

Take -0.3 to other side

0.7x+0.3x=1.2-0.2

Adding the coefficients of variables

x=1

Hence the value of x in the equation 0.2x+0.2+0.5x=-0.3x+1.2 is x=1.

Learn more about equation at brainly.com/question/2972832

#SPJ4

8 0
2 years ago
A Norman window is a window with a semi-circle on top of regular rectangular window. What should be the dimensions of the window
victus00 [196]

Answer:

Side lengths = 1.68 ft and width = 3.36 ft.

Step-by-step explanation:

Let the side lengths of the window be L and the width = 2r ( r is also the radius of the semi-circle).

So we have

Perimeter = 2L + 2r + πr = 12

Area = 2rL + 0.5πr^2

From the first equation

2L = 12 - 2r - πr

Substitute for 2L in the equation for the area:

A = r(12 - 2r -  πr) + 0.5πr^2

A = 12r - 2r^2 -  πr^2 + 0.5πr^2

A =  12r - 2r^2 - 0.5πr^2

We need to find  r for the maximum area:

Finding the derivative and equating to zero:

A' = 12 - 4r -  πr = 0=

4r + πr = 12

r = 12 / ( 4 +  π)

r = 1.68 ft.

So the  width of the window = 2 * 1.68 = 3.36 ft.

Now  2L = 12 - 2r - πr

=  12 - 2*1.68 - 1.68π

= 3.36

L = 1.68.

5 0
3 years ago
Read 2 more answers
Can you guys and gals help me
professor190 [17]

Answer:

1. B 2. B 3. D 4. A 5. A 6. A 7. B 8. C

Step-by-step explanation:

1. 6 and 8 are right next to each other. Making them 'adjacent angles' as 'adjacent' means 'next to'

2. 2 and 3 are vertically opposite angles, and these angles are equal to each other

3. 3 and 6 are alternate angles. These angles form a 'Z' shape

4. Similar to q2, 1 and 4 are vertically opposite angles

5. Yes they are similar because there are two angles which equal

6. The angles of the big triangle will correlate to the small triangle, therefore x is 40

7. Similar triangles will have the same angles. The top angle of the small triangle is 60, as stated in the big triangle, and 70 is given. The sum of interior angles of a triangle is 180. So, add 60 and 70, then minus from 180

8. Again, same concept as q7, the angles are given to you and you just need to correspond each angle to its respective area, then minus the total of the two given angles from 180

Hope this helped you!!

7 0
3 years ago
Can you help me with number 4 A-D plz
Flauer [41]
You have to label it but try 1 and 1/4, -1 and 1/4,2, and -2
5 0
3 years ago
At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
alexgriva [62]

Answer: A) Option B

B) 22.3 minutes.

Step-by-step explanation:

The temperature decreases in an exponential decrease, this means that we can write the equation as:

T(x) = A*r^x + B

Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)

We know that the initial temperature

A = 200° - 72° = 128°

B = 72°

T(x) = 128°r^x + 72°

The only option with those two values is option B.

T(x) =  128(0.989)^x + 72

We should check that when x = 2m, the temperature must be 197°

T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)

So this equation is correct

Now we want to find the time such the temperature is 172°F

then:

172° = 128°(0.989)^x + 72°

100° = 128°(0.989)^x

100/128 = (0.989)^x

x = ln(100/128)/ln(0.989) = 22.3 minutes.

Let's check in our equation:

T(22.3) =  128°(0.989)^22.3 + 72 = 172°

8 0
3 years ago
Other questions:
  • Simplify The Expression. 12/c^-8d^2
    12·1 answer
  • Asap help!!!!!! Which relations are functions? Select Function or Not a function for each graph.
    9·1 answer
  • Please help! ...................
    7·1 answer
  • Suppose a researcher is studying a population that has a mean of μ=38.6 and a standard deviation of σ=1.1. The researcher studie
    9·1 answer
  • The ages of Edna, Ellie, and Elsa are constructive integers. The sum of their number is 108
    5·1 answer
  • I need help finding out the domains and range of this function
    7·1 answer
  • The figure below is divided into 100 small squares of equal size.
    12·1 answer
  • Solve 3x<br> + 2 = -1<br> 0 -1<br> O 1<br> 1<br> 3<br> 0-<br> -<br> 1<br> 3
    14·1 answer
  • Make x the subject of the formula<br> X<br> y = x/a+b
    9·1 answer
  • If QT = ST = 43 and m∠SRT = 42°, what is m∠QRS?<br><br> m∠QRS =
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!