<span>If two lines are parallel, they do not intersect -- this one is true. the definition of parallel lines prevents these lines from crossing one another, because at that point they would no longer be parallel. parallel lines never touch.
If two lines do not intersect, then they are parallel -- not necessarily. skew lines are the exception here. you probably won't touch on it at your current level of math, but lines exist in higher dimensions than the second (third dimension, fourth dimension, etc) that prevent this from being necessarily true. if your class is ONLY related to two-dimensional geometry and your teacher doesn't want you to consider higher dimensions, then there's no reason to use this answer; the statement would be true.
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Answer:
The two flavours of the new soft drink falls between 1.3372units and 12.6627 units
Step-by-step explanation:
Go through the attachment for a detailed explanation.
9514 1404 393
Answer:
![\left[\begin{array}{cc}12&1\\-4&1\\-11&28\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D12%261%5C%5C-4%261%5C%5C-11%2628%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The element at row i column j in the product is the dot-product of row i of the first matrix and column j of the second matrix. For example, row 2 column 1 of the product is ...
(row 2) · (column 1)
[3, -2, 4] · [2, 7, 1] = (3)(2) +(-2)(7) +(4)(1) = 6 -14 +4 = -4
The attachment shows the complete product matrix. It is convenient to let a spreadsheet or graphing calculator do the tedious repetitive arithmetic.
<span>1/2mile every 1/4 hour
</span><span>
1/2mile -------------------> 1/4 hour
??n mile -----------------> 1 hour
cross multiplication
1 x 1/ 2 / 1/4 = 2 miles
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Answer:
B. 8 m/s (meters per second)
Step-by-step explanation:
In order to solve this problem, we can make a ratio table. For every 3 seconds, a hummingbird flies 24 meters to get from one feeder to another. This situation can be mathematically written as 3:24. However, we want to get a unit rate that describes how many meters a hummingbird travels in one second. The 3 in 3:24 represents the seconds. To create a unit rate, the 3 must be divided into 1. 3 divided by 3 would be 1. However, what you do to one section you must do to the other. 24 divided by 3 is 8. The hummingbird travels 8 meters per second.