3 years ago

Find the measure of angle A

1 answer:

5 0

Apply the law of cosines. and solve for A

$14^{2} = 11^{2} + 11^{2} - 2(11)(11)cos(A) \\ 
196 = 121 + 121 - 242cos(A) \\ 
-46 = -242cos(A) \\cos(A) = 0.1900826446$

A = 79.04239272, or 79

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The point (1,1) is the image under the translation (x,y)-> (x+3,y-3). What is the preimage of this point?

wel

Answer:

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Step-by-step explanation:

$\text{pre-image}->\text{image}$

$(x,y)->(x+3,y-3)$

$(x,y)->(1,1)$

This implies $(x+3,y-3)=(1,1)$ .

This means $x+3=1$ and $y-3=1$ .

Subtract 3 on both sides for first equation: $x=1-3=-2$ .

Add 3 on both sides for the second equation: $y=1+3=4$ .

So the pre-image (x,y) is (-2,4) if the image is (1,1).

Let's check:

$(x,y)->(x+3,y-3)$

$(-2,4)->(-2+3,4-3)$

$(-2,4)->(1,1)$

So the solution has been checked and verified.

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