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AfilCa [17]
1 year ago
7

Rewrite! Write an new and equivalent equation that is easier to solve

Mathematics
2 answers:
RUDIKE [14]1 year ago
8 0

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

  • Given - <u>an </u><u>equation </u><u>in </u><u>it's</u><u> </u><u>general </u><u>form</u>

  • To do - <u>convert </u><u>the </u><u>given</u><u> </u><u>equation</u><u> </u><u>into </u><u>a </u><u>form </u><u>that </u><u>is </u><u>easy </u><u>to </u><u>solve</u>

<u>Given </u><u>equation</u><u> </u><u>-</u>

\bold{(x + 2) {}^{2}  + 4(x + 2) - 5 = 0} \\

<u>solve </u><u>the </u><u>parenthesis </u><u>so </u><u>as </u><u>to </u><u>obtain </u><u>simpler </u><u>terms</u>

\bold{\implies \: ( x {}^{2}  + 4x + 4 ) + 4x + 8 - 5 = 0}\\

<u>solve </u><u>the </u><u>like </u><u>terms </u><u>and </u><u>you'll</u><u> </u><u>obtain </u><u>the </u><u>required</u><u> </u><u>equation</u><u> </u><u>!</u>

\bold{\implies \: x {}^{2}  + 8x - 7 = 0}

hope helpful ~

stealth61 [152]1 year ago
4 0

{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}

x = -7, -1

Step-by-step explanation:

\sf  {(x + 2)}^{2}  + 4(x + 2) - 5 = 0

let (x + 2) = y

So equation will be

\sf {y}^{2}  + 4y - 5 = 0

Further it becomes quadratic equation

we will solve it by breaking middle term method

\sf  \implies  {y}^{2}  + 5y - y - 5 = 0 \\  \\  \sf  \implies y(y + 5) - 1(y + 5) = 0 \\  \\  \sf \implies (y + 5)(y - 1) = 0

Now put the value of y

\sf \implies (x + 2 + 5)(x + 2 - 1) = 0 \\  \\  \sf  \implies (x + 7)(x + 1) = 0

(x + 7) =0⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀(x + 1) = 0

x = -7⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ x = -1

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In the diagram, BC¯¯¯¯¯∥DE¯¯¯¯¯ .<br><br> What is AE ?
emmainna [20.7K]
So there are two triangles here: Smaller one (ADE) and bigger one (ABC) and they both are similar.

So you can use proportions here.

AB / AC = AD / AE

AB = AD + DB = 6 + 1 = 7
AC = AE + 3

AD = 6

So plug in these values:

AB / AC = AD / AE becomes
7 / (AE + 3) = 6 / AE

Now do the cross multiply:

7 AE = 6 (AE + 3)

Now solve for AE:

7AE = 6AE + 18

AE = 18
6 0
2 years ago
Can someone pls help? also what would be the equation/formula be to solve this??
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Answer:

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Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

7 0
2 years ago
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Emma is standing 10 feet away from the base of a tree and tries to measure the angle of elevation to the top. She is unable to g
Vaselesa [24]
The complete question in the attached figure 

step 1
find the tree height for an angle of elevation of 55°<span> 
tan 55</span>°=opposite side angle 55°/adjacent side angle 55°
opposite side angle 55°=the tree height h1
adjacent side angle 55°=10 ft
so
tan 55°=h/10-------> h=10*tan 55°-----> h=14.28 ft

step 2
find the tree height for an angle of elevation of 75° 
tan 75°=opposite side angle 75°/adjacent side angle 75°
opposite side angle 75°=the tree height h2
adjacent side angle 75°=10 ft
so
tan 75°=h2/10-------> h2=10*tan 75°-----> h2=37.32 ft

therefore

<span>the height of the tree is within the range [14.26,37.32]
</span>
Part 1) 4.2 ft

<span>the value is not in the interval [14.26,37.32]
therefore
 it is </span>Not Reasonable

Part 2) 14.7 ft

the value is in the interval [14.26,37.32]
therefore
 it is Reasonable

Part 3) 24.4 ft

the value is in the interval [14.26,37.32]
therefore
 it is Reasonable

Part 4) 33.9 ft

the value is in the interval [14.26,37.32]
therefore
 it is Reasonable

Part 5) 39.1ft

the value is not in the interval [14.26,37.32]
therefore
 it is Not Reasonable

Part 6) 58.7 ft

the value is not in the interval [14.26,37.32]
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4 0
3 years ago
Please help me solve 3x + 4y =15 and 3x - y = 30 it is for Algebra I
Makovka662 [10]

Answer:

Step-by-step explanation:

Given the simultaneous equation

3x+4y=15. Equation 1

3x-y=30. Equation 2

Using elimination method

Sutract equation 2 from 1

Then, will have

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4y+y=-15

5y=-15

Divide Both sides by 5

y=-15/5

y=-3

From equation 2

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3x+3=30

3x=30-3

3x=27

Divide both side by 3

x=27/3

x=9

Then, x=9 and y=-3

7 0
2 years ago
Read 2 more answers
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