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3 years ago

Triangle KLM was dilated according to the rule

Mathematics

2 answers:

Anna35 [415]3 years ago

4 0

Answer:

The statement that is true is;

The vertices of the image are closer to the origin than those of the pre-image

Step-by-step explanation:

The dilation rule is 0.75(x,y)= (0.75x, 0.75y)

K (-4,4)----------( 0.75*-4,0.75*4)-------K' (-3,3)

L (2,4)-----------(0.75*2,0.75*4)---------L' (1.5,3)

M (-2,2)----------(0.75*-2,0.75*2)--------M' (-1.5,1.5)

geniusboy [140]3 years ago

3 0

Answer:

A, B, & D

Step-by-step explanation:

Took it on Ed, it's right.

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Please help!! What Find the Error and explain why it is wrong!

Nata [24]

Answer:

First image attached

The error was done in Step E, because student did not multiply $2\cdot x -8$ by the negative sign in numerator. Step E must be $\frac{2\cdot x -5}{(x+4)\cdot (x-4)}$ .

Second image attached

The error was done in Step C, because the student omitted the $2\cdot a \cdot b$ of the algebraic identity $(a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}$ . Step C must be $5\cdot x = x^{2}+4\cdot x + 4$

Step-by-step explanation:

First image attached

The error was done in Step E, because student did not multiply $2\cdot x -8$ by the negative sign in numerator. The real numerator in Step E should be:

$3-(2\cdot x -8)= 3-2\cdot x+8 = 11-2\cdot x$

Hence, Step E must be $\frac{2\cdot x -5}{(x+4)\cdot (x-4)}$ .

Second image attached

The error was done in Step C, because the student omitted the $2\cdot a \cdot b$ of the algebraic identity $(a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}$ . Step C must be $5\cdot x = x^{2}+4\cdot x + 4$

And further steps are described below:

Step D

$x^{2}-x+4 = 0$

Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: ( $a = 1$ , $b = -1$ , $c = 4$ )

$D = b^{2}-4\cdot a\cdot c$

$D = (-1)-4\cdot (1)\cdot (4)$

$D = -17$ (Conjugated complex roots)

Step E

$(x-0.5-i\,1.936)\cdot (x-0.5+i\,1.936) = 0$

Step F

$x = 0.5+i\,1.936\,\lor\,x = 0.5-i\,1.936$

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Step-by-step explanation:

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y = 4 plus 4 plus 4 etc....

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Answer:

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