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qaws [65]
2 years ago
11

On a number line, the directed line segment from q to s has endpoints q at –14 and s at 2. point r partitions the directed line

segment from q to s in a 3:5 ratio. which expression correctly uses the formula (startfraction m over m n endfraction) (x 2 minus x 1) x 1 to find the location of point r?
Mathematics
1 answer:
Fynjy0 [20]2 years ago
7 0

The coordinates of point r(-8,0).

<h3>What is midpoint formula in coordinate geometry?</h3>

The coordinates of the point r(x,y) which divides the line segment joining the points p(x_{1},y_{1}) and q(x_{2},y_{2}) internally in the ratio :m_{1}m_{2} are

\left(\frac{m_{1}x_{2}+ m_{2}x_{1} }{m_{1}+m_{2}  } ,\frac{m_{1}y_{2}+ m_{2}y_{1} }{m_{1}+m_{2}  }\Rifgt)

Given that,

Two end points on the line q(-14,0) and s(2,0). point r(x,y) is the partition of the line segment from q to s in a ratio 3:5

m_{1} = 3 and m_{2} = 5

By using the midpoint formula

\left(\frac{m_{1}x_{2}+ m_{2}x_{1} }{m_{1}+m_{2}  } ,\frac{m_{1}y_{2}+ m_{2}y_{1} }{m_{1}+m_{2}  }\Rifgt)

\left(\frac{3(2)+ 5(-14) }{3+5  } ,\frac{3(0)+ 5(0) }{3+5  }\Rifgt)

\left(\frac{-64}{8  } ,\frac{0 }{8  }\Rifgt)

\left(-8 ,0\Rifgt)

Hence, The coordinates of point r(-8,0).

To learn more about midpoint formula from the given link:

brainly.com/question/4429656

#SPJ4

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Nina and Jo both ran a 9 km race.
Wittaler [7]

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Answer:

  7.83 km/h

Step-by-step explanation:

At her constant pace, Nina's time for 6 km will be found by the proportion ...

  (time for 6 km)/(6 km) = (time for 9 km)/(9 km)

  time for 6 km = (6 km)/(9 km) × (75 min) = 50 min

Jo's time for the same distance will be 4 minutes less: 50 -4 = 46 min. Jo's speed is ...

  speed = distance/time

  = (6 km)/(46/60 h) = 360/46 h ≈ 7.83 km/h . . . . Jo's speed

_____

<em>Additional comment</em>

From the 6 km point, the remaining race is half the distance already run, so will take half the time already taken. As we know, Nina will finish in 25 more minutes; Jo will finish in 46/2 = 23 more minutes, 2 minutes ahead of Nina.

7 0
3 years ago
What is the decimal representation of 1/8?
jarptica [38.1K]
Its A 0.125 because 0.125×8=1.000 or 1 full
6 0
3 years ago
I really need help with these questions, i don’t even have a clue how to do these.
Anuta_ua [19.1K]

Answer:

231

Step-by-step explanation:

because the whole circle has an area of 360 so on the right side there is half and a little more so you would cut it in half so you have 180 and on the right side you still have a little left so thats about 10 so now you have 190 then you add 21 +20 you have 41 +190 =231 hope this helps

3 0
2 years ago
Which factoring method would be best to factor x^2 - 9?
Vinil7 [7]

Answer:

  D.  difference of squares

Step-by-step explanation:

Both of the terms x^2 and 9 are squares, so their difference is the difference of squares. The factorization of that is a "special form" that can be usefully memorized.

  a^2 -b^2 = (a -b)(a +b)

  x^2 -9 = (x -3)(x +3)

8 0
3 years ago
Can you please help me
SashulF [63]

9514 1404 393

Answer:

  (x, y, z) = (90, 75, 105)

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary, and opposite angles are congruent.

  (x -15) +(x +15) = 180

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Angles y and (x-15) are opposites, so ...

  y = x -15 = 90 -15 = 75

Similarly, for z ...

  z = x +15 = 90 +15 = 105

The values of x, y, and z are 90, 75, and 105, respectively.

6 0
3 years ago
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