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irga5000 [103]
3 years ago
7

GEOMETRY PLZ HELP

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

Answer:

Option B is true

Step-by-step explanation:

We are given that three right  triangles .Triangles ABD,CAD and CBA are similar.

When two triangles are similar then, the corresponding sidea are in equal proportion.

We have AB=5 units

AC= 7 units

BC=x

Triangles ABD is similar triangle CBA

\frac{AB}{BD}=\frac{BC}{AB}

AB^2=BC\cdot BD

(5)^2=BC\cdot BD

BC\cdot BD=25

When triangle CAD and CBA are similar

Then,\frac{AC}{BC}=\frac{CD}{AC}

AC^2=CD\cdot BC

(7)^2=CD\cdot BC

49=CD\cdot BC

In traingle CBA, uisng pythagoras theorem

AB^2+AC^2=BC^2

BC\cdot BD+BC\cdot CD=x^2

25+49=x^2

x^2=74

Hence, option B is true.

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NeX [460]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

1.- f(x) = 5x³ - 31x² - 129x + 27

a) f(9) = 5(9)³ - 31(9)² - 129(9) + 27

   f(9) = 5(729) - 31(81) - 1161 + 27

   f(9) = 3645 - 2511 - 1161 + 27

   f(9) = 0

b.- I will use synthetic division

                        5   - 31  -129  + 27       9

                               45   126  -27                            

                        5     14     -3       0

    Trinomial = 5x² + 14x - 3

Factor               5x² + 15x - 1x - 3

                        5x(x + 3) - 1(x + 3)

b)                           (x + 3)(5x - 1)

                       x₂ + 3 = 0          5x₃ - 1 = 0

                       x₂ = -3                 x₃ = 1/5

c) The roots are x₁ = 9, x₂ = -3 and x₃ = 1/5

2.-  f(x) = 3x² + 2x - 8      factor = 3x - 4

                                     x    + 2

                       3x - 4    3x² + 2x - 8

                                   -3x² + 4x

                                     0    +6x - 8

                                           -6x  + 8

                                                      0  Remainder

As the remainder was "0", 3x - 4 is a factor of 3x² + 2x - 8

3 0
3 years ago
Help me
Katarina [22]
The answer is 5

9+6 = 15
15/3 is 5
4 0
3 years ago
Read 2 more answers
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denis-greek [22]

Answer:

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Step-by-step explanation:

Let us use the composite function to solve the question

∵ f(x) = 2x - 1

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→ f(g(x)) means substitute x in f(x) by g(x)

∴ f(g(x)) = 2[g(x)] - 1

→ Equate the two right sides of f(g(x))

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∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1

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→ Divide each term into both sides by 2

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∴ g(x) = 5x + 2

∴ The function of g(x) = 5x + 2

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