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2 years ago

Help me out hunnys ❤️

Mathematics

1 answer:

Alenkinab [10]2 years ago

3 0

Answer:

g(x)=3(x+3)^2-8

Step-by-step explanation:

You can solve by using these acronyms.

H. orozontal.

I. nside.

O. pposite.

Meaning that a horozontal translation would be written inside the parenthesis and the poopsite sigh you would usually (Ex. Left is usually negitave but in this case it is positive).

The other acronym is,

V. erticle.

O. utside.

S. ame.

Meaning for a vrerticle translation the number would go on the outside of the parenthesis and tha sign would be normal (Ex. Negitave would be left and positive would be right).

For this one use H.I.O sinse you are moving on a horozontal plain. You are only working with the (x-2) nothing else matters.

Since you are moving left the number will move up 3 hence the O.

<h2><u>This transformation leaves you with g(x)=3(x+3)^2-8</u></h2>

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In triangle ABC we have angle C = 3 times angle A, a=27 and c=48 What is b? Note: a is the side length opposite A etc. please he

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The law of sines tells us ...

sin(C)/c = sin(A)/a

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Now, the angle B will be the difference between 180° and the sum of the other two angles:

B = 180° -A -3A = 180° -4A

Using appropriate trig identities, we can write ...

sin(B) = 4cos(A)^3sin(A) -4sin(A)^3cos(A)

= 4sin(A)cos(A)(cos(A)^2 -sin(A)^2)

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Filling in our value for cos(A), this becomes ...

sin(B) = 4sin(A)(5/6)(2(5/6)^2-1) = sin(A)(35/27)

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b/sin(B) = a/sin(A)

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The length of side b is 35 units.

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