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exis [7]
3 years ago
6

Pls help me this is due soon thx

Mathematics
1 answer:
steposvetlana [31]3 years ago
7 0

Answer:

D

Step-by-step explanation:

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vampirchik [111]

Answer: 10.5

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3 years ago
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Help please 50 points!​
uranmaximum [27]

Answer:

A and B

Step-by-step explanation:

we would like to solve the following equation:

\rm\displaystyle 5 - 2x =  \sqrt{ {2x}^{2} + x - 1 }  - x

to do so isolate -x to the left hand side and change its sign:

\rm\displaystyle 5 - 2x + x =  \sqrt{ {2x}^{2} + x - 1 }

simplify addition:

\rm\displaystyle 5 - x =  \sqrt{ {2x}^{2} + x - 1 }

square both sides:

\rm\displaystyle (5 - x {)}^{2}  =  (\sqrt{ {2x}^{2} + x - 1 }  {)}^{2}

simplify square of the right hand side:

\rm\displaystyle (5 - x {)}^{2}  =  {2x}^{2} + x - 1

use (a-b)²=a²-2ab+b² to expand the left hand side:

\rm\displaystyle  {x}^{2}  - 10x + 25=  {2x}^{2} + x - 1

swap the equation:

\rm\displaystyle   {2x}^{2} + x - 1 =  {x}^{2}  - 10x + 25

isolate the right hand side expression to the left hand side and change every sign:

\rm\displaystyle   {2x}^{2} + x - 1 - {x}^{2}   + 10x  -  25 =  0

simplify:

\rm\displaystyle   {x}^{2} + 11x  -  26=  0

rewrite the middle term as 13x-2x:

\rm\displaystyle   {x}^{2} + 13x - 2x  -  26=  0

factor out x:

\rm\displaystyle   x({x}^{} + 13)- 2x  -  26=  0

factor out -2:

\rm\displaystyle   x({x}^{} + 13)- 2(x   +  13)=  0

group:

\rm\displaystyle   (x- 2)(x   +  13)=  0

by <em>Zero</em><em> </em><em>product</em><em> </em><em>property</em> we obtain:

\displaystyle    \begin{cases}x- 2  = 0\\ x   +  13=  0 \end{cases}

solve for x:

\displaystyle    \begin{cases}x = 2\\ x  =   - 13 \end{cases}

to check for extraneous solutions we can define the domain of equation recall that a square root of a function is always greater than or equal to 0 therefore

\rm\displaystyle 5 - x    \geq0

solve the inequality for x:

\rm\displaystyle x    \leqslant  5

since 2 and -13 is less than 5 both solutions are valid for x hence,

\displaystyle    \begin{cases}x _{1} = 2\\  x_{2} =   - 13 \end{cases}

and we're done!

4 0
3 years ago
Read 2 more answers
Equivalent ratios what’s the answer <br> 3:6=
MAVERICK [17]

Step-by-step explanation:

you multiply both sides by the same factor, so that the main message or information, the ratio, stays the same :

3:6 × 2/2 = 6:12

3:6 × 1/3 / 1/3 = 1:2

3:6 × 4/3 / 4/3 = 4:8

3:6 × 100/100 = 300:600

so, these are all equivalent ratios. and there are infinitely more, as you can see.

8 0
2 years ago
Which ones are the Hypotenuse?
kodGreya [7K]

Answer:

a, c, d, f for sure has a hypotenuse but id-k if e would count

Step-by-step explanation:

6 0
3 years ago
PLEASE help (desperate) :(
mars1129 [50]

Answer:

4= \sqrt{16} \\1.5   = \sqrt{2.25}\\8 = 6^{2} /9*2\\1 = \frac{12 - 2}{6 + 4}\\5 = \sqrt{16 + 9} \\9 = 63/3^{2} +|2|

6 0
3 years ago
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