All categories

3 years ago

Solve 13-m=2(-4+m).

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

7 0

-4+m=7 next do 13-m=2 m equals 11 it all equals 14

Alborosie3 years ago

4 0

The answer is m = 7.

1. (13−m=2(m−4) Regroup terms
2. Expand (13−m=2m−8)
3. Add m to both sides (13=2m−8+m)
4. Simplify (2m−8+m to 3m−8)
5. add 8 to both sides (13 + 8 = 3m)
6. Simplify 13+8 to 21
7. Divide both sides by 33 (21/3 = m)
8. simplify 21/3 to 7 (7 = m)
9. switch sides ( finally m = 7)

You might be interested in

Let T:ℝ2→ℝ2 be the linear transformation that first rotates points clockwise through 45∘ (????/4 radians) and then reflects poin

Alisiya [41]

Answer:

$T = \left[\begin{array}{ccc}-\frac{1}{\sqrt{2} } &\frac{1}{\sqrt{2} }\\\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\end{array}\right]$

Step-by-step explanation:

Let General Transformation matrix be denoted as T

Step 1: Clockwise rotation of 45 degrees

General counterclockwise rotation matrix in 2-dimension is given as

$R(\theta)=\left[\begin{array}{ccc}cos\theta & - sin\theta\\sin\theta&cos\theta\\\end{array}\right]$

For clockwise rotation we need to insert θ as negative in the above matrix. Therefore, the resulting matrix is

$R(-\theta)=\left[\begin{array}{ccc}cos\theta & sin\theta\\-sin\theta&cos\theta\\\end{array}\right]$

as sin(-θ) = -sin (θ) and cos(-θ) = cos (θ)

For 45 degrees

$sin(45) = \frac{1}{\sqrt{2} }$ and $cos(45) = \frac{1}{\sqrt{2} }$

$R(-45)=\left[\begin{array}{ccc}\frac{1}{\sqrt{2} } & \frac{1}{\sqrt{2} }\\-\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\\\end{array}\right]$

Step 2: Reflection through line y = x

This type of reflection maps (x,y)→(y,x)

Therefore the general matrix is

$R(x,y)=\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]$

Step 3: General Transformation Matrix

T = R(x,y) R(-θ)

$T=\left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc}\frac{1}{\sqrt{2} } & \frac{1}{\sqrt{2} }\\-\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\\\end{array}\right]$

$T = \left[\begin{array}{ccc}-\frac{1}{\sqrt{2} } &\frac{1}{\sqrt{2} }\\\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\end{array}\right]$

3 0

3 years ago

Given the right triangle below, if AB = 12 and BC = 5, find AC.

jolli1 [7]

Answer:

The Answer Is On The Image

Step-by-step explanation:

Thanks.............

8 0

2 years ago

Read 2 more answers

You earn $49 for washing 7 cars. How much do you earn for washing 4 cars?

ICE Princess25 [194]

Answer:

Step-by-step explanation:

We can use the rule of three!

We know we have the following relationship:

$\frac{49}{7} = \frac{x}{4}$

From here, we can solve this like any other equation:

$4(\frac{49}{7}) = x\\x = 28$

Therefore, you would earn $28 after washing 4 cars.

Good luck!

4 0

3 years ago

Write the estimated weight of each dinosaur in scientific notation.

Lubov Fominskaja [6]

Argentinosaurus- 2.2x10^5

Brachiosaurus- 1.0x10^5

Apatosaurus- 6.6x10^4

Diplodocus- 5.0x10^4

Camarasourus- 4.0x10^4

Cetioauriscus- 1.985X10^4

I hope this helps :3

6 0

3 years ago

Read 2 more answers

Definition of Properties and attributes of functions

irakobra [83]

Answer:

properties:a thing or things belonging to someone; possessions collectively.

Attributes of function: Other objects a function is defined set of attributes. It shares the attributes of variables, including identifier, title, units, description,

7 0

3 years ago