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kotegsom [21]
3 years ago
14

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.

Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0

Answer:

P ( -1, -3)

Step-by-step explanation:

Given ratio is AP : PB = 3 : 2 = m : n  and points A(5,6) B(-5,-9)

We will calculate coordinates of the point P which divides line segment AB

in the following way:

xp = (n · xa + m · xb) / (m+n) = (2 · 5 + 3 · (-5)) / (3+2) = (10-15) / 5 = -5/5 = -1

xp = -1

yp = (n · ya + m · yb) / (m+n) = (2 · 6 + 3 · (-9)) / (3+2) = (12-27) / 5 = -15/5 = -3

yp = -3

Point P( -1, -3)

God with you!!!

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Evaluate 9-8/s when s=4
Alinara [238K]

Answer:

\frac{1}{4} = 0.25

Step-by-step explanation:

\frac{9-8}{4}

9-8 = 1

7 0
3 years ago
Read 2 more answers
Which number produces a rational answer when added to 0.85
ZanzabumX [31]

The number that produces a rational answer when added to 0.85 is; 193/180

<h3>How to identify rational numbers?</h3>

A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.

Now, let us convert 0.85 to a fraction. Thus;

0.85 = 85/100 = 17/20

From the given options, the only one that when added to 0.85 will yield a rational number is 2/9. This is because;

17/20 + 2/9 = 193/180

193/180 is a rational number.

The missing options are;

A. 2/9

B. 0.2645751311...

C. √2

D.

Read more about rational numbers at; brainly.com/question/4694420

#SPJ1

3 0
1 year ago
The area of a square is defined by, A(x) = x 2 - 6x + 9. What is the length of a side of the square?
Dmitriy789 [7]
A9x)  = x^2 - 6x + 9  = (x - 3)^2

length of a side = x - 3 
8 0
3 years ago
At a local restaurant, the health inspector visits every 7 days, and the fire inspector visits every 12 days.
Svetllana [295]
They will both come on the 84th day
8 0
3 years ago
(HELP ASAP PLEASE!!)
Doss [256]

Answer:

Each shirt cost $<u>7</u>  and each pair of shorts cost $<u>17</u> .

Step-by-step explanation:

let shirts be represented as x

let shorts be represented as y

Younger brother spent $79 on 4 new shirts and 3 pairs of shorts.

4 x + 3 y = $79    .......equation 1

Older brother purchased 7 new shirts and 8 pairs of shorts and paid a total of $185.

7 x + 8 y = $185  .......equation 2

multiply equation 1 by 7 and equation 2 by -4 and add both equations to get the value of y.

7 × (4 x + 3 y = $79)     ⇒             +28 x + 21 y = $553

-4 × (7 x + 8 y = $185)  ⇒             <u> -28 x - 32 y = - $740</u>

                                                          0   - 11 y   = - $187     ⇒  -11 y   = - $187

y = \frac{- $187}{- 11}   ⇒   y = $17

shorts = y = $17

put value of y in equation 1

4 x + 3 ( $17 ) = $79  ⇒    4x + $51 = $79   ⇒   4x = $79 - $51

4x = $28   ⇒  x = \frac{$28}{4}   ⇒   x = $7

Shirts = x = $7

8 0
3 years ago
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