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k0ka [10]
3 years ago
14

Use the elimination method to solve the system of equations. Choose the correct ordered pair. 4x + 8y = 16 4x - 8y = 0 A. (4, 2)

B. (2, 4) C. (2, 1) D. (4, 0)
Mathematics
1 answer:
balu736 [363]3 years ago
7 0
Adding both equations cancels y:

<span>4x + 8y = 16 
</span><span>4x - 8y = 0 
-----------------+
8x = 16 => x=2

filling in x=2 in the first equation gives:

4*2 + 8y = 16 => 8y = 8 => y=1

So (2,1) is the (x,y) pair that solves the two equations. Answer C.</span>
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PLEASE HELP!!
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Answer:

From the given graph:

the coordinates of triangle RST are;

R= (2, 1),

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T= (-1,-2)

Given: Scale factor = \frac{5}{3}  and center of dilation at (2,2)

The mapping rule for the  dilation applied to the triangle as shown below:    

(x,y) \rightarrow (\frac{5}{3}(x-2)+2 , \frac{5}{3}(y-2)+2 ); where k represents the scale factor i.e, k=\frac{5}{3} or we can write it as ;  

For R=(2, 1)      

The image R' = (\frac{5}{3}(2-2)+2 , \frac{5}{3}(1-2)+2 )

⇒ R'= (2, \frac{1}{3})  

Similarly for S= (2, -2) and T= (-1,-2)

therefore, the image of S'= (\frac{5}{3}(2-2)+2 , \frac{5}{3}(-2-2)+2 )

⇒ S'= (2, \frac{-14}{3})

The image of T' =(\frac{5}{3}(-1-2)+2 , \frac{5}{3}(-2-2)+2 )

⇒T' = (-3, \frac{-14}{3})

Now, labelling the image of triangle R'S'T' as shown in the figure given below

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