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umka2103 [35]
3 years ago
5

Solve 9^x-10x3^x+9=0

Mathematics
1 answer:
Goshia [24]3 years ago
4 0
Let y = 3^x , then 9^x = (3^2)^x = (3^x)^2 = y^2,  so we can write the equation as

y^2 - 10y + 9 = 0

(y - 9)(y - 1) = 0

giving y = 9 or y = 1

Therefore  3^x = 9    giving x = 2

and 3^x = 1 giving x = 0


so the solution  set is {0, 2}

Note - I have assumed that the 'x' after the 10 means 'multiply'.   Is that correct?
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kvasek [131]

m∠FDE = 52°

Solution:

Given data:

DE ≅ DF, CD || BE, BC || FD and m∠ABF = 116°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠ABF + m∠CBF = 180°

116° + m∠CBF = 180°

m∠CBF = 64°

If CD || BE, then CD || BF.

Hence CD || BE and BE || FD.

Therefore BFCD is a parallelogam.

<em>In parallelogram, Adjacent angles form a linear pair.</em>

m∠CBF + m∠BFD = 180°

64° + m∠BFD = 180°

m∠BFD = 116°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠BFD + m∠DFE = 180°

116° + m∠DFE = 180°

m∠DFE = 64°

we know that DE ≅ DF.

<em>In triangle, angles opposite to equal sides are equal.</em>

m∠DFE = m∠DEF

m∠DEF = 64°

<em>sum of all the angles of a triangle = 180°</em>

m∠DFE + m∠DEF + m∠FDE = 180°

64° + 64° + m∠FDE = 180°

m∠FDE = 52°

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3 years ago
Lamar is considering two loans.
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The expression 9n + 3 represents the perimeter (in meters) of the triangle. Write an expression in the simplest form that repres
AlexFokin [52]

Answer:

4n+2

Step-by-step explanation:

  1. add all sides =9n+3
  2. 3n+2+2n-1=9n+3
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3 years ago
Which of the following equations has only one solution? x2 + 4x + 4 = 0 x2 + x = 0 x2 - 1 = 0
Nady [450]
<span>you can solve all quadratic equations using this method:
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x^2 + 4x + 4 = 0
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the above quadratic equation is in standard form, with a=1, b=4, and c=4
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
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into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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this quadratic has ONE real root (the x-intercept), which is:
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x^2 + x = 0
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the above quadratic equation is in standard form, with a=1, b=1, and c=0</span>
4 0
2 years ago
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Please help ASAP don’t mind the scribbles
hjlf

U = 1

L = 0

R = -2

I = 24

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H = -3

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S = -439

O = 11

B = -6

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<em>Hope this helped ! :)</em>

8 0
3 years ago
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