Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?

Mathematics

2 answers:

andrew-mc [135]3 years ago

7 0

The answer is> -5.....

const2013 [10]3 years ago

4 0

-4(x + 3) < = -2 - 2x
-4x - 12 < = -2 - 2x
-4x + 2x < = -2 + 12
-2x < = 10
x > = -5

the correct number line will have closed circle on -5 with shading to the right

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Pls help me with trig :)

trapecia [35]

Answer:

Step-by-step explanation:

let ∠GEF=x

then ∠GFE=90-x

$\frac{GH}{EH}=tan x\\GH=EH~ tan x\\or~ GH=a ~tan x=6 tan x\\\frac{GH}{FH}=tan (90-x)=cot x\\GH=FH*cot x\\GH=b*cot x=27 cot x\\6 tan x=27 cotx\\\frac{tan x}{cot x}=\frac{27}{6}\\tan ^2 x=\frac{27}{6}=\frac{9}{2}\\sec^2x-tan^2x=1\\sec^2 x=1+tan ^2x=1+\frac{9}{2}=\frac{11}{2}\\\frac{EG}{EH}=sec x\\ EG=EH sec x=a sec x= 6 sec x=6\sqrt{\frac{11}{2} } =3\sqrt{22} \approx 14.07$