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Evgesh-ka [11]
2 years ago
15

determine whether AB and CD are parallel, perpendicular,or neither. A(-1,-4), B(2,11), C(1,1), D(4,10)

Mathematics
1 answer:
sergiy2304 [10]2 years ago
3 0

Step-by-step explanation:

the x distance from A to B is 3 (from -1 to 2), and the y distance is 15 (from -4 to 11).

the x distance from C to D is also 3 (from 1 to 4), but the y distance is 9 (from 1 to 10).

so, the slopes are different

AB : 15/3 = 5

CD : 9/3 = 3

and the lines are therefore not parallel.

perpendicular slopes are simply inverting y and x in the ratio and flip the sign (from - to + and vice versa). but that is not the case here either (just to start - both slopes are positive).

so, the 2 lines are "neither".

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Read 2 more answers
What is the product?
ZanzabumX [31]

Answer:

The product is:

\left[\begin{array}{cc}15 & 14\\-1 & 9\end{array}\right]

Step-by-step explanation:

For this problem you need to multiply the first row only for the two first column of the others matrix and get the desired result:

\left[\begin{array}{ccc}1&3&1\\-2&1&0\end{array}\right] \times \left[\begin{array}{cc}2&-2\\3&5\\4&1\end{array}\right]

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So the value of the element in the position a_{11} is 15

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So the value of the element in the position a_{12} is 14

Then with these two values you can determinate the result matrix.

\left[\begin{array}{cc}15 & 14\\-1 & 9\end{array}\right]

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