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marissa [1.9K]
3 years ago
10

Janet is trying to identity a number. She knows the following properties of the unknown number. The opposite of the unknown numb

er is five. The absolute value of the unknown number is five. What number is Janet is trying to identity?
Mathematics
1 answer:
cluponka [151]3 years ago
8 0
We know that the number's opposite is 5. In this context, the opposite means the negative of the given number. Since the number's opposite is 5, the number itself must be -5. This is consistent with the second piece of information, since the absolute value of a number is its distance to 0 and the absolute value of -5 is 5.
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Step-by-step explanation:

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ANEK [815]

Answer:

The equation of the line passing through the given points.

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y=-2x-3

Step-by-step explanation:

Given:  

Let,  

point A( x₁ , y₁) ≡ ( 1 ,-5)

point B( x₂ , y₂ )≡  (-4 , 5)

To Find:  

Equation of Line AB =?  

Solution:  

Equation of a line passing through a points A( x₁ , y₁) and point B( x₂ , y₂ ) is given by the formula Two -Point Form,  

(y-y_{1})=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\times (x-x_{1})

Now on substituting the slope and point A( x₁ , y₁) ≡ ( 1 ,-5) and B( x₂ , y₂ )≡  (-4 , 5) we get

y-(-5)=\frac{5--5}{-4-1}\times (x-1)\\ \\y+5=\frac{10}{-5}(x-1)\\ \\y+5=-2(x-1)\\y+5=-2x+2 ......Applying\ Distributive\ property\\\\y=-2x+2-5\\\\y=-2x-3....Which\ is\ required

The equation of the line passing through the given points.

(1,-5) and (-4,5) is

y=-2x-3

3 0
3 years ago
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