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galina1969 [7]
3 years ago
14

A system of equations is given below. y=1/2x-3 and -1/2x-3. Which of the following statements best describes the two lines?

Mathematics
2 answers:
pantera1 [17]3 years ago
4 0

"They have different slopes but the same y-intercept, so they have one solution" is the statement which best describes the two lines.

Answer: Option D

<u>Step-by-step explanation:</u>

Given equations:

           y=\left(\frac{1}{2} \times x\right)-3

           y=\left(-\frac{1}{2} \times x\right)-3

As we know that the slope intercept form of a line is  

                             y = m x + c  

So, from equation 1 and equation 2 we can see that

              m_{1}=\frac{1}{2} \quad \text { and } c_{1}=-3

              m_{2}=-\frac{1}{2} \text { and } c_{2}=-3

So, from the above expressions, we can say that both lines have different slopes but have same y – intercept with one common solution when x = 0.

olga55 [171]3 years ago
4 0

Answer: D

Step-by-step explanation:

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Nutka1998 [239]

I'm assuming you're looking to find the expanded form of the number?

This number is in scientific notation. The easiest way to convert it to a normal number is to move the decimal place 14 to the right. I've attached a picture showing how to do this. You should get 630,000,000,000,000

There's a faster way to do this - notice that you need to move the decimal 14 to the right, and there's one number already after the decimal place. Therefore, 13 places will be filled with zeros. So, just write out 63 and add 13 zeros.

For more general help on scientific notation, check out these videos: https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-scientific-notation/v/scientific-notation-old

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3 years ago
What translation rule can be used to describe the result of the composition of T &lt; 4, −10 &gt;(x, y) and T &lt; −1, −9 &gt;(x
Vikki [24]

The first translation picks a point and adds 4 to its x coordinate, and subtracts 10 from the y coordinate. In other words, it moves the point 4 units to the right and 10 units down.

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So, if you perform one translation after the other, you move the point 4 units to the right and 1 unit to the left along the x axis, and 10 units down and 9 more units down along the y axis.

The net result is a translation of 3 units to the right and 19 units down.

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