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3 years ago

I HAVE NO IDEA - Please show your work and full explanation! Thanks !

Mathematics

2 answers:

Lady_Fox [76]3 years ago

5 0

The answer is A)34. this is because angle G is congruent to the angle labeled 34, so they are both 34 degrees. let me know if you want a more in depth explanation

jeyben [28]3 years ago

4 0

line P is parallel to line r and angle 34 degree is corresponding to angle H so angle H will be 34 degrees. Now angle H and G are vertically opposite to each other so angle G should be 34 degrees. Option A is correct. Hope it helps.

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3 years ago

which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x 2? righ

irina1246 [14]

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$5$ units to the right and $23$ units down

Step-by-step explanation:

we have

$f(x)=x^{2}$

This is a vertical parabola open upward with vertex at point $(0,0)$

$g(x)=x^{2} -10x+2$

Step 1

Convert the function g(x) into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$g(x)-2=x^{2} -10x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$g(x)-2+25=x^{2} -10x+25$

$g(x)+23=x^{2} -10x+25$

Rewrite as perfect squares

$g(x)+23=(x-5)^{2}$

$g(x)=(x-5)^{2}-23$

The function g(x) is a vertical parabola with the vertex at point $(5,-23)$

Step 2

Find the rule of the translation

$(0,0)-------> (5,-23)$

$(x,y)-------> (x+5,y-23)$

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Angelina_Jolie [31]

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.. (d -20)/60 = 0.95^t
.. log((d -20)/60) = t*log(0.95)
.. t = log((d -20)/60)/log(0.95) . . . . . . time to cool to d degrees (d > 20)

b) C'(t) = 60*0.95^t*ln(0.95)
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3 years ago