Answer:
6 units above the x-axis
Step-by-step explanation:
The pair (9,6) are a set of coordinates that indicate how far away from the origin (0,0) the point is.
The coordinates are written (x,y) where 'x' is how far to the left or right of the y-axis (vertical) the point is. The 'y' is how far above or below the x-axis (horizontal) the point is.
So in this case, the set of (9,6) means that the point is located at 9 units to the right of the origin and the y-axis and 6 units above the x-axis
Answer:
a. [L], [M]
b. 41, 42, 43
Step-by-step explanation:
<h3>a.</h3>
If x represents the smallest number, then the second number is (x+1) and the third number is (x+2). The sum is of the first number (x), 3 times the second number, 3(x+1), and 2 times the third number, 2(x+2). That sum can be written as ...
Total = x +3(x +1) +2(x +2) . . . . matches [L]
If we use the distributive property to eliminate parentheses, we get ...
Total = x +3x +3 +2x +4 . . . . . matches [M]
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<h3>b.</h3>
Using the equation of [M], we have ...
253 = x +3x +3 +2x +4
246 = 6x . . . . . . . . . . . . . . . . collect terms, subtract 7 from both sides
41 = x . . . . . . . . . divide both sides by 6
The three consecutive numbers are 41, 42, 43.
Answer:
Question 1:
A) Parallelogram
B) Right Angled Triangle
Question 2:
Using parallelogram to use properties of parallel lines. To find whether a quadrilateral is parallelogram, first we will write it's coordinates. After writing coordinates, we find slope of each line by slope formula. After this , we compare the slope of equal lines through which we come to know whether they are parallel to eachother or not. After that, if two pairs of lines are parallel, then the given quadrilateral is a parallelogram.
Modular Arithmetic
a is congruent to bmod (n)
Note that b is remainder after a goes into n
since n|a-b
consider 5z={0,1,2,3,4}
12=2mod5 since 5|12-2 => 5|10 => 2 which is remainder of 5 into 12 two times
560 divided by 4=140 140 divided by 7 equals 20
Answer is 20 min a day