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katrin [286]
3 years ago
11

Find RA, 90: (2,5) given that point A is located at (-3, -3).

Mathematics
1 answer:
Anna71 [15]3 years ago
4 0

Answer:

The value of RA is " 9.43".

Step-by-step explanation:

In the given question there is some typing mistake so, the points are:

R =(2, 5)

A= (-3, -3)

Find:

RA= ? where it is a distance (D).

Formula:

D= \sqrt{(x_2-x_1)^2+ (y_2-y_1)^2} \\\\\ compare  \ the \ value \\\\x_1 = 2\\y_1=5\\x_2=-3\\y_2= -3

put the value in the formula:

\Rightarrow D =\sqrt{(-3-2)^2+(-3-5)^2} \\\\\Rightarrow D =\sqrt{(-5)^2+(-8)^2} \\\\\Rightarrow D =\sqrt{25+64} \\\\\Rightarrow D =\sqrt{89} \\\\\Rightarrow D = 9.43\\

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Short Answer: Tony 40 Cleo 30
Givens

T = Tony
C = Cleo

Equations
1/2 T + 1/3 C = 30      (1)
2/5 T + 1/2 C = 31       (2)

Adjustments
Multiply  (1) by 3
Multiply (2) by 2

New Equations
3/2 T + C = 90      (1a)
<u>4/5 T + C = 62</u>      (2a) Subtract (2a) from (1a)
(3/2 - 4/5)T = 28                      the common multiple of 2 and 5 = 10. 
(15/10 - 8/10)T = 28
7/10 T = 28                              Multiply by 10
7T = 28*10
7T = 280  Divide by 7
T = 280/7 = 40

Put T = 40 into (1)
1/2 T + 1/3 C = 30
1/2 (40) + 1/3 C = 30
20 + 1/3 C = 30                      Subtract 20 from both sides.
1/3 C = 30 - 20
1/3 C = 10                              Multiply through by 3
C = 10 * 3
C = 30

Answer:
Cleo has 30 books.
Tony has 40 books.

Check
<em>Use Equation 2</em>
2/5 T + 1/2 C = 31
2/5*40 + 1/2 * 30 = ? 31
16 + 15 =?3`
31 = 31 They are equal.

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