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wolverine [178]
3 years ago
8

How do you this question? Please help.

Mathematics
1 answer:
dangina [55]3 years ago
5 0
N - Nicholes money
M - Marys money

(1) N + M = 4800 ⇒ N = 4800 - M
(2) N - 800 = M - 2/5M ⇒ N - 800 = 3/5M

subtitute (1) to (2)

4800 - M - 800 = 3/5M
4000 - M = 3/5M
-M - 3/5M = -4000
-8/5M = -4000  |multiply both sides by (-5/8)
M = 2500

subtitute the value of M to (1)

N = 4800 - 2500
N = 2300

Answer: Mary had at first $2500. (Nichole: $2300).
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A perpendicular bisector, CD is drawn through point C on AB. 
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<u>Answer</u>

B(18/5,0)


<u>Explanation</u>

First we find the coordinates of C;

C (x, y) = [(-3+7)/2, (2+6)/2]

           = (2, 4)

Find the equation of CD.

slope = (6-2)/(7--3)

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slope of CD = -5/2

-5/2 = (y - 4)/(x - 2)

-5/2(x - 2) = y - 4

(-5/2) x + 5 = y - 4

y = (-5/2)x + 9

For the x-intercept y = 0

∴ y = (-5/2)x + 9  

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5/2 x = 9

x = 2/5 × 9

  = 18/5

x-intercept  = (18/5, 0)


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3 years ago
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Step-by-step explanation:

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The area of a right triangle is 336 cm². The base of the right triangle is 48 cm.
Flauer [41]
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