Exercise 12
simplify 3r-4+7 - 2x + 4x
you can rearrange this to have the like terms tog
3r-2r + 4x + 7-4
o have the like terms together, i. e.
3x -4+7 - 2x + 4x = 5x + 3
simplify 2x + 4y -x + 5y
2x + 4y-x+ 5y = 2x -x + 4y + 5y = x + oy
+
1
simplify:
1 2x+4+3 + 5x 5 6x + 5y + 2x - 3y
2 2x - 4+ 3x + 9
6 6x+ 5y + 2x
3 5x- 2+3 x
7 6x+6y - 2x
4 4a + 5c + 6a 8 6x + 5y - 2x + 3y
13 6x + 5y + 2x + 3y + 2x
14 6x + 5y - 2x - 3y + 7x +y
15 30x + 2-15x - 6+4
16 2z + 3x + 4y +62 +x-3y
4x + 1 + 3x + 2 + x
6x + 9 + 2x - 1
11 7x-3+9 - 4x
12 9x + 3y + 10x
17 4x + 3y - 4 + 6x - 2y +7-x
18 7x +3-9-9x + 2x + 6 +11
og
like terms here: xs, y
there are three sets of
like terms here: x's, y's
and z's.

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9

false

inverse variation is not exponential

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