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AnnyKZ [126]
3 years ago
6

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

Mathematics
1 answer:
Viefleur [7K]3 years ago
4 0
If we need our line to pass through point C, then we have to use the x and  coordinates of point C in our new equation.  If that line is to be perpendicular to AB, we also need to find the slope of AB and then take its opposite reciprocal.  First things first.  Point C lies at (6, 4) so we will use x = 6 and y = 4 in our equation in a bit.  The coordinates of A are (-2, 4) and the coordinates of B are (2, -8) so the slope between them is m= \frac{-8-4}{2-(-2)} which is -3.  The opposite reciprocal of -3 is 1/3.  That's the slope we will use along with the points from C to write the new equation.  We will do this by plugging in x, y, and m (slope) into the slope-intercept form of a line and solve for b.  4= \frac{1}{3} (6)+b and 4 = 2 + b.  So b = 2.  That's the y-intercept, the point on the y axis where the line goes through when x is 0.  Therefore, the point you're looking for is (0, 2).
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Answer:

Your original account balance before you made the deposit is $6

Step-by-step explanation:

Let x = your original account balance.

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Then you withdraw $28.50 from your bank account. This means that you have $(3x - 28.5) left.

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2 years ago
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5 0
3 years ago
Solve the equation -x/6greaterthanequalto3
enot [183]

Answer (depending if the fraction is positive or negative):

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Step-by-step explanation:

If the fraction is positive:

  1. Write it out: \frac{x}{6} \geq 3  
  2. Multiply each side by 6 to cancel out the 6 under x. It should now look like this: x ≥ 18

If the fraction is negative:

  1. Write it out: -\frac{x}{6} \geq 3  
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I hope this helps!

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Refer to the image attached.

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Therefore, \Delta ABD \cong \Delta BDC by Angle Side Angle(ASA) Postulate.

Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)

8 0
3 years ago
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