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Whitepunk [10]
3 years ago
13

Find the coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4)

Mathematics
1 answer:
Eva8 [605]3 years ago
7 0

The coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4) is (\frac{-17}{5} ,\frac{2}{5} )

Explanation :

the coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4)

Apply section formula to find coordinates of point Q

(\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n} )

Ratio m:n is 2:3 and point R is (x1,y1) , point S is (x2,y2)

Substitute all the values inside the formula

(\frac{2(2)+3(-7)}{2+3} , \frac{2(4)+3(-2)}{2+3} )\\\\(\frac{-17}{5} ,\frac{2}{5} )

The coordinates of point Q is (\frac{-17}{5} ,\frac{2}{5} )

Learn more :  brainly.com/question/13878373

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Anna007 [38]

Answer:

For more than 35 miles company A will charge less than company B

Step-by-step explanation:

Let us write the equation of the cost of each company

Company A:

∵ Company A charges $96 for unlimited mileage

∴ The cost of company A = 96

Company B:

∵ Company B charges an initial fee of $75

∵ It charges $0.6 for every mile driven

∵ The number of miles is m

- Multiply m by 0.6 and add 75 to the product

∴ The cost of company B = 75 + 0.6 m

∵ Company A will charge less than company b

∴ 96 < 75 + 0.6 m

- Subtract 75 from both sides

∴ 21 < 0.6 m

- Divide both sides by 0.6

∴ 35 < m

- That means m is greater than 35

∴ m > 35

For more than 35 miles company A will charge less than company B

7 0
3 years ago
At a certain college, there are 600 freshman, 400 sophomores, 300 juniors, and 200 seniors. if one student is selected at random
Oksanka [162]
The total number of sample space in this item is calculated by adding up all the number of students given. That is,

   S = 600 + 400 + 300 + 200 = 1500

The probability is calculated with the equation below.

    P = n / S

where P is the probability,
          n is the number of sophomores, and 
          S is the total number of students

Substituting,
    
  P = 400 / 1500 = 4/15

<em>ANSWER: 4/15</em>
3 0
3 years ago
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Tanzania [10]

Answer:

B.$120

Step-by-step explanation:

find 8 on the bottom, and go up until you find the dot. then look to the left to see what number matches it on the left side.

7 0
2 years ago
Brainliest goes to whoever answers correctly
velikii [3]
The answer is b

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7 0
3 years ago
A merchant bought 1000 electric bulbs at the rate of Rs.150 each. 50 of them were broken on the way and the remaining he sold at
neonofarm [45]

Answer:

₹165.79

Step-by-step explanation:

Given:-

No. of electric bulbs = 1000

cost of each electric bulb = ₹ 150

No. of bulbs broken = 50

Selling price of each bulb = x

Profit percentage = 5%

To Find:-

The selling price of each bulb.

Solution:-

Cost price of 1000 electric bulbs,

= 1000 × ₹150

= ₹1,50,000

5% profit on the total cost price,

= {5}/{100}× ₹150000

= ₹7500

Total selling price = ₹157500

No. of bulbs remaining = 950

Therefore, selling price of each bulb,

= {₹157500}/{950}

= ₹165.79

Therefore,

Selling price of each bulb = ₹165.79

5 0
2 years ago
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