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Elden [556K]
3 years ago
5

Points A, P and B are collinear such that P sits on line segment AB and partitions the segment so that AP to PB is in the ratio

2:3. Point A is located at (3,-1) and B is located at (8,14). Find the coordinates of P, the partition point.
Mathematics
1 answer:
arlik [135]3 years ago
8 0

Answer:

  P = (5, 5)

Step-by-step explanation:

For the given division, ...

  P = (2B +3A)/5

  P = (2(8, 14) +3(3, -1))/5 = (16+9, 28-3)/5 = (25, 25)/5

  P = (5, 5)

_____

For some division ratio of AP : PB = p : q, we have ...

  (P -A)/(B -P) = p/q

  q(P -A) = p(B -P)

  P(p+q) = pB +qA . . . . rearranging

  P = (pB +qA)/(p+q) . . . . . the formula we used above

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A quadrilateral has angles that measure 74°, 93°, and 117°.
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We know the sum of all the angles in a quadilateral is equal to 360. so,
it would be: 360 - (74+93+117)

 = 360 - 284
 = 76 degrees

So, Your final answer is 76 degrees.

Hope this helps!
4 0
4 years ago
Triangle DEF, shown below, is reflected over the y-axis to form triangle D'E'F'. What are
vovikov84 [41]

Answer:

(-6, -4).

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When you reflect coordinates over the y-axis, the x-coordinates remain the same, but the y-coordinates become their additive inverse.

The original coordinates for F are (6, -4).

The new coordinates for F would be F' (-6, -4).

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How many of these make a semi-circle?
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How many of what?

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6 0
3 years ago
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Can someone solve this question to me.i will mark brainliest. :)
Alex787 [66]

Answer:

  • Parent Function:  y=\sqrt{x}
  • Horizontal shift: right 3 units
  • Vertical shift: up 3 units
  • Reflection about the x-axis: none
  • Vertical strech: streched

Step-by-step explanation:

assume that y=\sqrt{x} is f(x)=\sqrt{x} and y=\sqrt{-2x+6}+3 is

g(x)=\sqrt{-2x+6}+3\\ f(x)=\sqrt{x} \\g(x)=\sqrt{-2x+6}+3

The transformation from the first equation to the second equation can be found by finding a,h and k for each equation.

y=a\sqrt{x-h}+k

factor a 1 out of the absolute value to make the coefficient of x equal to 1

y=\sqrt{x}

factor a 2 out of the absolute value to make the coefficient of x equal to 1

y=\sqrt{2}\sqrt{x-3}+3

find a, h and k for y=\sqrt{2}\sqrt{x-3}+3

a=1.41421356\\ h=3\\k=3

the horizontal shift depends on the value of h when h > 0, the horizontal shift is described as:

g(x)=f(x+h) - the graph is shifted to the left h units

g(x)=f(x-h)\\ - the graph is shifted to the right h units

the vertical shift depends on the value of k

5 0
2 years ago
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