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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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Does anyone know how tj do this (trig)
Crank

Answer:

x = 5

Step-by-step explanation:

NOTE: THE 2 SIDES ARE THE SAME LENGTH

THEY HAVE TO BE SMALLER THEN 10

So 10/2 = 5

x = 5

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8 0
3 years ago
Decide whether quadrilateral ABCD with vertices 4(3,1), B(-1,-1) C(1,3), and D(5.5) is a rectangle, rhombus,square, or parallelo
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Answer: rhombus

Step-by-step explanation:

By inspection, we can tell that there are no right angles, so we can determine it is not a square or a rectangle.

From the options, it is implied that it is a parallelogram, so to determine if it is a rhombus, we can determine if there is a pair of consecutive congruent sides.

By the distance formula,

AB=\sqrt{(-1-3)^{2}+(-1-1)^{2}}=\sqrt{16+4}=2\sqrt{5}\\BC=\sqrt{(-1-1)^{2}+(-1-3)^{2}}=\sqrt{4+16}=2\sqrt{5}

As AB=BC, there is indeed a pair of consecutive congruent sides, and thus the most specific classification is a <em>rhombus</em>

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