Answer:
Slope of Parallel Line: -7
Step-by-step explanation:
A set of parallel lines will ALWAYS have the same slope. Perpendicular lines will have complete opposite slopes, for example, the slope of a line perpendicular to this one would be 1/7. If the slope is positive, the other slope will be negative and vice versa. For perpendicular lines, you also have to flip the fractions.
I believe it's A, C and D.
Answer:
a) Triangle
b) Rectangle
Step-by-step explanation:
A triangular prism that has an equilateral base and a height with the same length as the base of the prism.
a) Shape from horizontal slicing
A plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. So the cross section of the horizontal slicing is an equilateral triangle (all the sides of the triangle are equal).
b) Shape from vertical slicing
If the triangular prism is sliced vertically, the resulting shape would be a rectangle with a length that is the same as the base of the prism.
For the first digit of the required 20-digit number, we can have 9 choices for the number, those are the digits 1 to 9. In the second digit of the number, we will only have 8 choices. That is because, we don't want to write a number in the second digit that is similar to the first digit and the third digit.
Similarly, in the third digit's place, we will only have 8 choices because we do not want the digit to be similar to the second digit and the fourth digit. This will go on up until the 19th digit. In the 20th digit, we will also have 9 choices (from 0-9) but we do not want the digit to be similar to the 19th digit.
From the explanation given above, we have the number of ways,
n = 9 x 8^(19 - 1) x 9 = 1.459 x 10^18
<em>ANSWER: 1.459 x 10^18</em>
Two sevenths over two fifths = five over seven mile per hour
The unit rate is 5 over 7 miles per hour
<em><u>Solution:</u></em>
Given that, Suzanna walked two over seven of a mile in two over five of an hour
We have to find the unit rate in miles per hour
Unit rate means number of miles covered in 1 hour
From given information,
Two over seven of a mile in two over five of an hour
Which means,
To find for number of miles covered in 1 hour, divide the 
Two sevenths over two fifths = five over seven mile per hour
Thus unit rate is 5 over 7 miles per hour
