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erma4kov [3.2K]
3 years ago
12

This is a question on proportions in geometry. Image has been shared.

Mathematics
2 answers:
Digiron [165]3 years ago
7 0
A+b       5
------- = ---
2a-b      4

  b           5
-------- = ----  => 9b = 5a+45 => b = (5a+45)/9
 a+9       9


a+b       5
------- = --- => 4a+4b = 10a-5b
2a-b      4

9b = 6a

9(5a+45) =6a   divide both sides by 3

3(5a+45) = 2a

15a +135 = 2a

13a = -135

a = -135/13 = -10,38

a= -10,38

9b=6a

3b=2a

3b = 2(-10,38)

3b = -20,76

b = -20,76/3

b = -6,92

hope this helped 
VikaD [51]3 years ago
4 0
(a + b)/(2a - b) = 5/4                    b/(a + 9) = 5/9

4*(a + b) = 5*(2a - b)

4a + 4b = 10a - 5b

4a - 10a = -5b - 4b

-6a = -9b

6a = 9b............(a)


<span> b/(a + 9) = 5/9</span>

9*b = 5*(a + 9)

9b = 5a + 45           Recall from (a) 9b = 6a

6a = 5a + 45

6a - 5a = 45

a = 45

9b =  6a

9b = 6*45

b = 6*45/9 = 30

a = 45, b = 30
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Find the equation of the line that passes through point A (1,7) and B (-3, -1)
amid [387]

Answer:

The equation of the line is 2 x - y + 5 = 0.

Step-by-step explanation:

Here the given points are A( 1, 7) & B( -3, - 1) -

Equation of a line whose points are given such that

( x_{1}, y_{1} ) & ( x_{2}, y_{2} )-

 y - y_{1}  = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }   ( x - x_{1}  )

i.e. <em> y - 7= \frac{- 1 - 7}{ -3-1}  ( x- 1)</em>

<em>       y - 7 =  \frac{- 8}{- 4} ( x -1)</em>

<em>       y - 7 =  2 ( x - 1) </em>

<em>       y - 7  =   2  x - 2</em>

<em>       2 x - y + 5 = 0</em>

Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1)  is 2 x - y  + 5 = 0.

6 0
3 years ago
Find sin θ if θ is in Quadrant III and tan θ = . 0.958
Leokris [45]
Use the following identities:
sec^2 = 1  + tan^2 \\  \\ sec = \frac{1}{cos} \\  \\ sin^2 = 1 - cos^2
Also because the angle is in quadrant 3, sin must be negative.
Therefore
sin = - \sqrt{1 - \frac{1}{1 + tan^2}}
Subbing in tan = 0.958
sin \theta = -0.69178
7 0
3 years ago
Please help will do anything thank you
kifflom [539]

Answer:

Step-by-step explanation:

a). Stock price arranged as arithmetic sequence will be,

   5, 8, 11, 14

b). Since, explicit formula of an arithmetic sequence is given by,

   a_n=a+(n-1)d

   Here, T_n = nth term of the sequence

   a = first term

   n = number of term

   d = common difference

   From the table attached,

   First term of the sequence 'a' = 5

   Common difference 'd' = 8 - 5 = 3

   Therefore, explicit formula for the given sequence will be,

   a_n=5+3(n-1)

   a_n=2+3n

c). Slope intercept form of the equation will be,

   y = 3x + 2  

d). Input out values for the graph of the given equation,

   x          0           1          2          3

   y          2           5         8          11

   By using this data we can graph the line.    

7 0
3 years ago
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ra1l [238]

Answer:

4th and 5th option

Step-by-step explanation:

you can easily add eqn 1 and 2 to get rid of the y term for 4th option and get rid of x term by addition as well for the 5th option

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5 0
3 years ago
Read 2 more answers
54,36,24 whats the next term in the geometric sequence
kodGreya [7K]

Answer:

16

Step-by-step explanation:

The common ratio is 36/54 = 2/3.

So the next term is 2/3 (24) = 16.

3 0
3 years ago
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