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inysia [295]
3 years ago
10

Select the Correct Answer Consider the following Equation 12w - 27 = -34 + 14 Which Equation has the same solution as the equati

on given above?A. -2w + 21 = -8w + 36\\B. -\frac{5}{6} w + 2 = -34 + 14w\\C. -47 - 10w = -9w -40 - 3w\\D. \frac{9}{7} w = \frac{13}{14} w + 2
Mathematics
1 answer:
cricket20 [7]3 years ago
6 0
12w - 27 = -34 + 14
w = 7/12

A -2w+21=-8w+36
w=17/8

B -5/6 w + 2 = -34+14w
w=216/89

C -47-10w=-9w-40-3w
w= 7/2

D 8/7w=13/14w+2
w=28/5


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Which of the following are based on empirical probability
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The empirical probability is Life insurance, Car insurance, and Mortality.

<h3>What is empirical probability?</h3>

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9x^2 - 4y - a <br> evaluate the expression given<br> x = -2, y = 3, a = -4
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Step-by-step explanation:

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3 years ago
The image of F(-5,-9) after translating along &lt;4, 6 &gt; and then translating along &lt; 3, 5&gt; is? F’(?,?)
dusya [7]
<h3>Answer:  (2, 2)</h3>

==============================================

Explanation:

The phrasing "translated along <4,6>" is another way of saying "shift 4 to the right, shift 6 up"

In general, "translated along <m,n>" is the same as writing (x,y) \to (x+m, y+n). If m is positive, then we shift m units to the right. If m is negative, then we shift to the left. The same story happens with the n, but we focus on the y coordinate.

-------------

With all that in mind, starting at F(-5,-9) and translating along <4,6> has us arrive at (-1, -3). Add 4 to the x coordinate and add 6 to the y coordinate.

We can say

(x,y) \to (x+4,y+6)\\\\(-5,-9) \to (-5+4,-9+6)\\\\(-5,-9) \to (-1,-3)\\\\

Showing that (-5,-9) moves to (-1,-3)

This is after the first translation, but there's a second translation.

We'll apply the same idea, but different numbers this time

(x,y) \to (x+3,y+5)\\\\(-1,-3) \to (-1+3,-3+5)\\\\(-1,-3) \to (2,2)\\\\

So (-1,-3) moves to (2,2)

Overall we have

  • (-5,-9) move to (-1,-3) after the first translation
  • (-1,-3) move to (2,2) after the second translation

Therefore, the original point ends up at (2,2) which is the final answer

--------------

Extra info:

A nice shortcut is that the vectors <4,6> and <3,5> can be added to get <4+3,6+5> = <7,11>. So overall, we're shifting 7 units to the right and 11 units up when we combine the two translation vectors.

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