Determining a Linear Equation to Find an Input Value Try it
Consider f(x) = 1.8x – 10 and g(x) = -4.
Select the equation that can be used to find
the input value at which f (x ) = 9 (x), and
then use that equation to find the input, or x
-value.
2x
f(x)
22
g(x)
-4
-17.2
-4
-4 -2
O 1.8x – 10 = -4; x = 10
-2
-13.6
-4
O 1.8x = -4; x = -20
9
0
-10
0
-4
O 1.8x - 10 = -4; x = -10
3.
2.
-6.4
N
-4
04 = x
4.
-2.8
4
-4

24+x=y

step-by-step explanation:

your answer is -9

step-by-step explanation:

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

the equation is going to be