I need to find the length of MK.

Answer:

x = -2

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS  is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

~

First, add 4x to both sides:

10 - 4x (+4x) = -9x (+4x)

10 = -9x + 4x

10 = -5x

Isolate the variable, x. Divide -5 from both sides:

-5x = 10

(-5x)/-5 = (10)/-5

x = 10/-5

x = -2

x = -2 is your answer.

~

Answer: 14

Step-by-step explanation:

To find the distance, find the difference in the x and y values,square them and add them. Then finally find the square root of the number you got after adding them together.  

-2-(-1)= -1

-8 -6 = -14

-14^2 + -1^2 = d^2  where d is the distance

196 + 1 = d^2

197 = d^2

d= [tex]\sqrt{197}[/tex]  

d= 14.0356     rounded to the nearest tenth is 14.

Answer:

3^5/2 is 15.5885.

Step-by-step explanation:

This is plug in math! I'd recommend to get a Ti-84 (makes math like this so much easier)

Answer:

  243 square inches

Step-by-step explanation:

The area is the square of the side length:

  A = s^2

  A = (3^(5/2))^2 = 3^(5/2*2) = 3^5 = 243

The area of the square is 243 square inches.

_____

The relevant rule of exponents is ...

  (a^b)^c = a^(bc)

Answer:

Step-by-step explanation:

x + 8 = -2

x = -10

the answer is a

Answer: 6

Step-by-step explanation:

So to find the answer, we would use the equation 32+4x=56 where as x represents the amount of strawberries Sameer ate. Now to solve for x

56-32=4x

24=4x

now divide 4 from bboth sides of the equation getting:

x=6

so Sameer ate 6 strawberries

Answer:

-9

Step-by-step explanation:

Since 5 can go into 40 9 times, the answer would be nine, but by following negative rules, since we have an odd amount of negative numbers in this equation, the answer is -9

Answer:-8

Step-by-step explanation:

5 goes into -40 8 times. 5 goes into 45 9 times.

Answer:

107%

Step-by-step explanation:

$14 to $29

Original number/start = $14

End number = $29

Increase = $29 - $14 = $15

% increase = Increase ÷ Original Number × 100

Substitute in known values

% increase = 15 ÷ 14 × 100

Divide

% increase = 1.07 × 100

Multiply

% increase = 107%

The percentage increase is 107%

Hope this helps :)

Answer:

107%

Step-by-step explanation:

percent change = (new number - old number)/(old number) * 100%

new number = 29; old number = 14

percent change = (29 - 14)/14 * 100%

percent change = 15/14 * 100%

percent change = 107%

Answer:

8

Step-by-step explanation:

When there are 2 minuses, they convert into + so that the ewuation turns into:

x+15=23

Then you move the +15 after the = sign

Now that you changed the side, you have to change sign so :

x= 23-15

x=8

Answer:

18 inches and 57 inches

Step-by-step explanation:

The diameter and the circumference of a circle are proportionate to each other.

The circumference of a circle will always be the diameter times [tex]\pi[/tex]. We know this because the circumference of a circle is represented as

[tex]2 \pi r[/tex]

Since the diameter is twice the radius, we multiply the radius by 2 - there's already a [tex]\cdot 2[/tex] in this equation, so [tex]c = \pi d[/tex].

1st option: [tex]18\cdot3.14 = 56.52[/tex], this is close to 57 so it's reasonable.

2nd option: [tex]3\cdot 3.14 = 9.42[/tex], this isn't close to 28 at all.

3rd option: [tex]33 \cdot 3.14 = 103.62[/tex], this isn't close to 80 at all.

So the 1st option is reasonable.

Hope this helped!

Answer:

First option: 18 inches diameter, 57 inches circumference

Step-by-step explanation:

Circumference of a circle is...

2 * radius * pi

We can approximate pi (3.14159...) to 3.

So the circumference of a circle is approx.

2 * radius * 3

We know the diameter of a circle is 2 times the radius...

diameter = 2 * radius

Thus, the circumference of a circle is approximately...

diameter * 3

First option:

Diameter 18, circumference 57

Let's try our approximation

18 * 3 = 54

We see that 57 is pretty close and is a reasonable approximation.

Second option:

Diameter 3, circumference 28

3 * 3 = 9

Not even close to 28.

Third option:

Diameter 33, circumference 80

3 * 33 = 99

Closer, but much further off than our first option.

Answer:

4 bagels for $3

Step-by-step explanation:

10 bagels for 11 = 1.10 and 4 bagels for $3 = 0.75

Answer:

i would say the first one because you get 10 bagels for 11 $ because 1.50 cents per bagel

Answer:

C. -24

Step-by-step explanation:

[tex]5k + m \\ k = - 3 \\ m = - 9[/tex]

Plug in values into the given equation

[tex]5( - 3) + ( - 9) \\ - 15 - 9 \\ = - 24[/tex]

Answer:

-24 C.

Step-by-step explanation:

I took the test and got it right

Answer:

35*F

Step-by-step explanation: aren't you just adding?

Answer:

28 ft below the surface.

Step-by-step explanation:

A scuba diver was 53 below the oceans surface. If he rises 25 feet, what is the new depth?

    You subtract 25 ft from 53 ft leaving you with 28 ft.

      53 ft

   - 25 ft

       28 ft  below the surface  

Hope this helps.

Answer:

10⁰ =1

why?

because when everything ⁰ =1

hope it helped you:)

Answer:

23 ^ ( a+b)

Step-by-step explanation:

23^a *23^b

Since the bases are the same, we can add the exponents

23 ^ ( a+b)

Answer:

23^(a+b)

Step-by-step explanation:

A^x*A^y = A^(x+y)

you can think of it like this

A^x = A*A*A*.......*A x times

A^y = A*A*A*....*A y times

therefore A^x * A^y = A*A*A*...*A (x+y) times

=A^(x+y),

so in our case A = 23, and x and y were a and b, so 23^a * 23^b = 23^(a+b)

Answer:

x = -4 thus negative

Step-by-step explanation:

Solve for x:

3 x + 12 = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 12 from both sides:

3 x + (12 - 12) = -12

Hint: | Look for the difference of two identical terms.

12 - 12 = 0:

3 x = -12

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 x = -12 by 3:

(3 x)/3 = (-12)/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

x = (-12)/3

Hint: | In (-12)/3, divide 12 in the numerator by 3 in the denominator.

12/3 = (3×4)/3 = 4:

Answer: x = -4

Answer:

0 to 100 miles

Step-by-step explanation:

Trust me I know  say thanks ppl

An altitude of a three-dimensional object is best described as option D, "a segment that is perpendicular to the planes containing the two bases."

3D geometry is the study of shapes in 3D space using three coordinates: x-coordinate, y-coordinate, and z-coordinate. To discover the exact location of a point in 3D space, three criteria are required.

An altitude is a line segment drawn from a vertex of a three-dimensional object (such as a pyramid or cone) that is perpendicular to the plane including the base of the object. The altitude can be used to find the height of the object, which is the distance from the vertex to the base along the altitude.

For example, in a pyramid, the altitude is a line segment drawn from the apex (the top vertex) to the center of the base that is perpendicular to the base. In a cone, the altitude is a line segment drawn from the apex to the center of the circular base that is perpendicular to the base.

Learn more about 3d -geometry here:

https://brainly.com/question/15451289
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Answer:

Option (3)

Step-by-step explanation:

Given : 3x + 12 = 8x - 18

To prove : x = 6

        Statements                  Reasons

1). 3x + 12 = 8x - 18                 1). Given

2). 12 = 5x - 18                       2). Subtraction property of equality

3). 30 = 5x                             3). Addition property of equality

4). 6 = x                                  4). Division property of equality

5). x = 6                                  5). Symmetric property

For step 1 in the given proof Option (3) will be the answer.

Answer:

See below.

Step-by-step explanation:

This is a parabola. Therefore, it is a quadratic parent function. The quadratic parent function is:

[tex]f(x)=x^2[/tex]

The domain of the parent quadratic function is all real numbers.

The range of the parent quadratic function is all y-values greater than or equal to 0. From the graph, we can see that the graph never goes below 0.

So, the domain in interval notation is:

[tex](-\infty,\infty)[/tex]

And the range in interval notation is:

[tex][0,\infty)[/tex]

This is interpreted as all values greater than or equal to 0.

And we're done!

Answer:

Step-by-step explanation:

the answer is 12 miles okay so subtract $1.30 from the $11.50 because that is the prize pf being in the car then the pries of a mile is $0.85 if that the case $11.50 -$1.30 would equal $10.2 and $10.2 divide $0.85 is 12 hopefully this helps

Answer:

first part c

second part d

Step-by-step explanation:

complimentary angles add up to 180

your looking for the halfway so the distace apsrt was 8 you divide that by 2 to get 4

Answer:

third one and the 2nd ? is 4

Step-by-step explanation:

complementary =180

between 8 and -2 is 4

Answer:

8 inches

Step-by-step explanation:

Oliver rolls his ball 1/9th of the distance Fabienne rolls his, so just divide 72 by 9 to get your answer.

Answer:

Oliver rolls his ball 8 inches.

the equation that was used to solve this was : 9n = 72 inches.

Step-by-step explanation:

Since the 72 inches was nine times the distance that Oliver rolled his ball, it means that the unknown number (n), was multiplied by 9 to get Fabienne's inches. So, 9n = 72.

divide both sides by the number next to the unknown to get (n), the number of inches that Oliver rolled his ball.... which is 8.

Answer:

i believe it is 5.75 months

Step-by-step explanation:

It would take Bernie 23 months to pay off the total cost of $2500 for the course using his savings

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the amount of money in Bernie account after x months. Hence:

y = 100x + 200

To make $2500:

2500 = 100x + 200

x = 23 months

It would take Bernie 23 months to pay off the total cost of $2500 for the course using his savings

Find out more on equation at: https://brainly.com/question/2972832

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Answer:

m = 0

Step-by-step explanation:

[tex]-2(8m+8)=-16\\\\\frac{-2(8m+8)=-16}{-2}\\\\ 8m+8=8\\\\8m+8-8=8-8\\\\8m=0\\\\\frac{8m=0}{8}\\\\ \boxed{m=0}[/tex]

Hope this helps.

Answer:

2k-58

Step-by-step explanation:

-5(k+6) + 7(k-4)

-5k-30+7k-28

2k-48

Answer:

it is a reflection

Answer:

reflection y=x

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

3x-12=24

-12 to both sides

3x-12-12=24-12

3x=12

3x/3=12/3x

x=4