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katen-ka-za [31]
3 years ago
14

Point J (-2,1) and point K (4,5) form line segment JK. For the point P that partitions JK in the ration 3:7, what is the y- coor

dinate of P?
Mathematics
2 answers:
Ainat [17]3 years ago
7 0
Y = 2.4 and the x = -0.3
amid [387]3 years ago
6 0

Answer:

2.2

Step-by-step explanation:

If  point P (Xp, Yp) divides a line segment from J (Xj, Yj) to K (Xk, Yk) in the ratio a:b, then the y-coordinate of P is

Yp = Yj + a/(a+b) * (Yk - Yj)

Here Yj = 1, Yk = 5, a = 3 and b = 7. Replacing

Yp = 1 + 3/(3+7) * (5 - 1)

Yp = 2.2

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Consider the following scenario:
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Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.
Natali [406]
The answer to what the length of the leg would be is 15.

You would do this problem by first writing down your Pythagorean Theorem, which is a^2 + b^2 = c^2.

Since we have our hypotenuse which is c^2 in our equation, we would write or insert the number we have.

So our equation could be that a or b leg equals 20, it doesn’t matter which one.

So we could write, 20^2 + b^2 = 25^2. So we don’t know what b leg is.

First we should figure out what 20^2 is and what 25^2 is.

20^2 is 400 and 25^2 is 625.

Our equation now comes to 400 + b^2 = 625.

Now we take 400 and subtract it from
625 -> 400 + b^2 = 625
-400.

So 625 - 400 comes out to be 225.

Lastly instead of squaring or putting 225 to the second power, we do the opposite.

So instead of squaring 225 we must square root 225. √ 225 .

The square root of √ 225 comes out to be 15.

3 0
3 years ago
13 POINTS! EVALUATE AND SHOW ALL WORK
padilas [110]

Answer:

  • 0

Step-by-step explanation:

<u>Solving in steps</u>

  • 3| 4.5 - 2| - 5 |-1.5 -(- 3)| =
  • 3 |2.5| -5 |-1.5 + 3| =
  • 3*2.5 - 5|1.5| =
  • 7.5 - 5*1.5 =
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3 0
3 years ago
Nadia is a stockbroker. She earns 4% commission when she sells stocks. Last week, she earned $288 in commission.
Tresset [83]

Answer:

a)The total amount of her  weekly stock sales  = $7,200

b) The total amount of her yearly stock sales  = $350,000

Step-by-step explanation:

(a)  Let us assume that the total a mount of her sales in a week  = $m

      Commission earned in a week = $288

      Now, 4 % of her total sales  = $288

      or, 4% of ($m)  = $288

    ⇒\frac{4}{100}  \times  m = 288

     or, m = \frac{288 \times 100}{4}   = 7,200

     ⇒ m = $7,200

Hence, the total amount of her  weekly stock sales  = $7,200

b)  Let us assume that the total amount of her sales in a year  = $k

     The total amount of commission earned  = $14,000

Now, 4 % of her total sales  = $14,000

      or, 4% of ($k)  = $14,000

    ⇒\frac{4}{100}  \times  k = 14,000

     or, k = \frac{14,000 \times 100}{4}   = 350,000

     ⇒ k = $350,000

Hence, the total amount of her yearly stock sales  = $350,000

8 0
3 years ago
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