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Sergeeva-Olga [200]
3 years ago
11

A triangle has verticies A(-2, 3), B(0,0), and C (1,1).

Mathematics
1 answer:
pashok25 [27]3 years ago
5 0
A(2,-3)
B(0,0)
C(1,-1)
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Working together, Candice and Ximena painted a fence in 8 hours. Last year, Ximena painted the fence by herself. The year before
makkiz [27]

Answer: Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 12 hours

Step-by-step explanation:

Let x= Time taken by Ximena to paint the fence alone .

Time taken by Candice to paint the fence alone = x-12

As per given , we have

\dfrac{1}{x}+\dfrac{1}{x-12}=\dfrac{1}{8}\\\\\Rightarrow\ \dfrac{x-12+x}{x(x-12)}=\dfrac{1}{8}\\\\\Rightarrow\ 8(2x-12)=x^2-12x\\\\\Rightarrow\ 16x-96=x^2-12x\\\\\Rightarrow\ x^2-12x-16x+96=0\\\\\Rightarrow\ x^2-28x+96=0\\\\\Rightarrow\ x^2-4x-24x+96=0\\\\\Rightarrow\ x(x-4)-24(x-4)=0\\\\\Rightarrow\ (x-4)(x-24)=0\\\\\Rightarrow x=4, 24

if x= 4

Time taken by Ximena = 4 hours

Time taken by Candice = 4-12 hours =-8 hours which is not possible. (time cannot be negative)

Therefore, x= 24

Such that

Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 24-12=12 hours

3 0
3 years ago
Which statement is true about the equations –3x + 4y = 12 and x – y = 1?
Firlakuza [10]
-3x + 4y = 12
x - y = 1....x = y + 1

-3(y + 1) + 4y = 12
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x - y = 1
x - 15 = 1
x = 1 + 15
x = 16

one solution (16,15)

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Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.
Fittoniya [83]
4 to the 18th power is the answer to your question. 
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aleksandr82 [10.1K]

Answer:

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Step-by-step explanation:

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Which equations are true?
Nutka1998 [239]
B, the rest are wrong
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