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Softa [21]
3 years ago
13

8 + 4a + 6.2 - 9a = ​

Mathematics
1 answer:
Strike441 [17]3 years ago
7 0

Answer: 14.2 - 5a

Work: I just did "CLT" of "Combine Like Terms". I did 8 + 6.2 First because 8 is first, then I did 4a - 9a which is -5a, and I combined them, and got the answer. I hope this helps, and stay safe! :)

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Any help plzzz I’ll appreciate it so much thank u
docker41 [41]

9514 1404 393

Answer:

  5√5

Step-by-step explanation:

Use the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-7-(-2))² +(-7-3)²) = √((-5)² +(-10)²) = √(25 +100)

  d = √125 = √(25·5)

  d = 5√5 . . . . distance between the points

3 0
3 years ago
Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2
Anastaziya [24]

Answer:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

Step-by-step explanation:

we would like to figure out the derivative of the following:

\displaystyle  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

to do so, let,

\displaystyle y =  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

By simplifying we acquire:

\displaystyle y =  3 -  \frac{2}{x}  -  \frac{1}{ {x}^{2} }

use law of exponent which yields:

\displaystyle y =  3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} }

take derivative in both sides:

\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  (3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} } )

use sum derivation rule which yields:

\rm\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  3 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

By constant derivation we acquire:

\rm\displaystyle  \frac{dy}{dx} =  0 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

use exponent rule of derivation which yields:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ - 1 -1} ) -     ( - 2 {x}^{  - 2 - 1} )

simplify exponent:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ -2} ) -     ( - 2 {x}^{  - 3} )

two negatives make positive so,

\displaystyle  \frac{dy}{dx} =   2 {x}^{ -2} +      2 {x}^{  - 3}

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

\displaystyle  \frac{dy}{dx} =   \frac{2 }{x^2}+       \frac{2}{x^3}

simplify addition:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

and we are done!

5 0
3 years ago
We are given AB ∥ DE. Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal
ohaa [14]

Answer: AAA similarity.


Step-by-step explanation:  CB is the transversal for the parallel lines AB and DE, and so by transverse property, we have ∠CED ≅ ∠CBA. Similarly, CA acts as a tranversal for the same pair of parallel lines AB and DE and using the same property, we can have ∠CDE ≅ ∠CAB. Now, in triangles CED and ABC, we have

∠CED ≅ ∠CBA,

∠CDE ≅ ∠CAB

and

∠DCE ≅ ∠ACB [same angle]

Hence, by AAA (angle-angle-angle) similarity,

△CED ~ △ABC.

Thus, the correct option is AAA similarity.


8 0
3 years ago
Read 2 more answers
A number cube is rolled and a marble is selected at random from the bag at he right. Determine each probability.
Alenkasestr [34]

wheres the bag and everything else


5 0
3 years ago
Help me with this please asap​
Sloan [31]

Answer:

See below

Step-by-step explanation:

32.  w + 5 = -20

       w = -20 - 5

       w = - 25

33.  x - 17 = -32

       x = -32 + 17

       x =  - 15

34.  t + 7.2 = 1.65

       t = 1.65 - 7.2

       t = - 5.55

35.  -0.4 = g - 4.9

       g = - 0.4 + 4.9

       g = 4.5

36.  y - 2/5 = 1 3/5

       y = 1  3/5  +   2/5

       y =  1   5/5  or   2

37.  -5 1/6 = 2 1/3 + p

       p =  - 5 1/6  -  2  1/3  convert 1/3 to x/6 for a common denominator

1/3 converts to 2/6

        p =  -5  1/6  -  2  2/6

        p =  - 7   3/6    or   - 7  1/2

38.  You were given that

Simone =  $65.35 + Dan

Simone =  Carly - 37.50

Carly = 127.75

So Simone = 127.75 - 37.50  =  90.25

Simone = 65.35 + Dan   or Dan = Simone - 65.35

Dan = 90.25 - 65.35 = 24.90

7 0
3 years ago
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