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slega [8]
3 years ago
10

If the ordinate equals the abscissa and x ∈ {-3, 0, 12}, which of the following sets of ordered pairs satisfies the given condit

ions?
{(3, -3), (0, 0), (-12, 12)}
{(-3, 3), (0, 0), (12, -12)}
{(-3, -3), (0, 0), (12, 12)}
Mathematics
2 answers:
n200080 [17]3 years ago
7 0
For point with coordiantes (x,y), the abscissa is the x-coordinate and the ordinate is the y-coordinate. So, all you have to do is match the given x values with the second term inside the parenthesis. Also, the x values must also be the same as given. From the choices, the answer is <span>{(-3, -3), (0, 0), (12, 12)}</span>
vivado [14]3 years ago
5 0

Answer:

(-3, -3), (0, 0), (12, 12)

Step-by-step explanation:

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(f.g)(x)=4x^3+4x^2

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PQ has endpoints P(-4, -2) and Q(-6, 8). What is the length of segment PQ in simplest radical form?
harina [27]

Answer:

The answer is

<h2>2 \sqrt{26}  \:  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points of a line segment can be found by using the formula

d =  \sqrt{ ({x_1 - x_2})^{2} +  ({y_1 - y_2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

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The length of the line segment is

|PQ|  =  \sqrt{ ({ - 4 + 6})^{2} +  ({ - 2 - 8})^{2}  }  \\  =  \sqrt{ {2}^{2}  +  ({ - 10})^{2} }  \\  =  \sqrt{4 + 100}  \\  =  \sqrt{104}  \:  \:  \:  \:  \:  \:  \:  \\  = 2 \sqrt{26}  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

2 \sqrt{26}  \:  \:  \:  \: units

Hope this helps you

6 0
3 years ago
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