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Lana71 [14]
2 years ago
9

A point Q on a segment with endpoints A(2, −1) and C(4, 2) partitions the segment in a 3:1 ratio. Find Q.

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
6 0

Using proportions, it is found that the coordinates of Q are given as follows: (3.5, 1.25).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Since the point Q partitions the segment AC in a 3:1 ratio, we have that the equation is:

Q - A = \frac{3}{4}(C - A)

For the x-coordinate, we have that:

Q - A = \frac{3}{4}(C - A)

x - 2 = \frac{3}{4}(4 - 2)

x - 2 = \frac{3}{2}

x = 3.5

For the y-coordinate, we have that:

Q - A = \frac{3}{4}(C - A)

y + 1 = \frac{3}{4}(2 - (-1))

y + 1 = \frac{9}{4}

y = 1.25.

The coordinates of Q are given as follows: (3.5, 1.25).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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Can someone help me with this?​
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Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

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Sum =  \frac{a( {r}^{n} - 1) }{(r - 1)}   \\

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\frac{a( {r}^{n} - 1)}{(r - 1)}  = 728 \\  \frac{2( {3}^{n} - 1) }{(3 - 1)}  = 728 \\  \frac{2( {3}^{n} - 1) }{2}  = 728 \\  {3}^{n}  - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n}  = 729 \\  {3}^{n}  =  {3}^{6}  \\ \boxed{ n = 6}

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  • 6 is the right answer.
3 0
2 years ago
How to solve all of this
photoshop1234 [79]
Start circle: πd = (3.14)(19) = 59.7

Move diagonally to the circle with the radius of 6.2.

Second circle: 2πr = 2(3.14)(6.2) = 39

Move upwards to the circle with the radius of 10.5

third circle: 2πr = 2(3.14)(10.5) = 66

Move right to the circle with the diameter of 16.6

Fourth circle: πd = (3.14)(16.6) = 52.2

Move down to the circle with the diameter of 7.7

fifth circle: πd = (3.14)(7.7) = 24.2

Move down to the circle with the diameter of 50

Sixth circle: πd = (3.14)(50) = 157.1

Move left to the circle with the radius of 11.8

Seventh circle: 2πr = 2(3.14)(11.8) = 74.1

Move down to the circle with the radius of 38

Eight circle: 2πr = 2(3.14)(38) = 238.8

Move right to the circle with the diameter of 1.1

ninth circle: πd = (3.14)(1.1) = 3.5

Move right to the circle with the radius of 14.8

10th circle = 2πr = 2(3.14)(14.8) = 93

Move up to the end.

Hope this helps :) 
7 0
3 years ago
5.
tresset_1 [31]
A and D because it is basically saying 3:36 so when you simplify it comes down to 1:12
8 0
2 years ago
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