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Vikentia [17]
1 year ago
11

From the topic:areas and volumes​

Mathematics
1 answer:
Serggg [28]1 year ago
6 0

this question is unambiguous.

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Given three points A(-7, 1), B(m, 6) and P(-1, n). If the point P divides AB internally in the ratio of 3: 2, find the values of
vesna_86 [32]

Answer:

m = 3 , n = 4

Step-by-step explanation:

<u>Using Section Formula.</u>

<u />If \ the \ line \ segment \ AB \ where  \ A = (x _1, y_1) \ and \ B = (x_2, y_2) \ divided \ by \ P =(x , y) \ in \ the \ ratio \ a : b,\\\\Then \  the \ points \  of \  P  \ \\\\x = \frac{ax_2 + bx_1}{a+b} \ and \ y = \frac{ay_2 + by_1}{a+b}<u />

   Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b  = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x =  -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3<u />

  y =\frac{3\times 6 + 2 \times 1}{5}\\\\n = \frac{18 + 2}{5} = \frac{20}{5} = 4

<u />

5 0
2 years ago
A friend gives you two baseball cards for your birthday. Afterward, you
lora16 [44]

Answer:

The slope is 4x while the y-intercept os 2.This equation represents starting with 2 and adding 4x cards each week.

4 0
2 years ago
Read 2 more answers
A storekeeper increased the price of hats by 5%.
Virty [35]

Answer: c = 1.05p

Step-by-step explanation:

Price of the hat = p

Percentage increase in the price of the hat = 5%

The equation to calculate the increase of the total cost, c, of the hat will be:

c = p + (5% × p)

= p + (5/100 × p)

= p + (0.05 × p)

= p + 0.05p

c = 1.05p

8 0
2 years ago
Help i dont know the answer
zhenek [66]

Answer:

25

Step-by-step explanation:

In her first 5 days, she reads 80 pages. That means that per day, she reads 16 pages. Then, she had 400 pages left, since 480-80 = 400.

So, you divide 400/16 = 25 days.

7 0
3 years ago
Read 2 more answers
Which expression is equivalent to the given expression​ <br><br>I need help ASAP!
velikii [3]
It’s C.

Explanation:
The square root of 384 is divided into the square root of 64 and the root of 6. If we take the square root of 64, it is 8. So the answer is C.
6 0
2 years ago
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