Linda, Manuel, and Pablo served a total of 82 orders Monday at the school cafeteria. Manuel served 10 more orders than Linda. Pa
1 answer:
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Answer:
1.
2.
3.
Step-by-step explanation:
Standard form of a line is .
If a line passing through two points then the equation of line is
where, m is slope, i.e.,.
1.
The line passes through the points (7,-3) and (4,-8). So, the equation of line is
Therefore, the required equation is .
2.
We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to .
Slope of the line :
Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).
Equation of line is
Therefore, the required equation is .
3.
We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to .
From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).
Equation of line is
Therefore, the required equation is .
n(AxB) = 25
Step-by-step explanation:
AxB in sets is called Cartesian product. And is defined as a set of ordered pairs (a,b) where a belongs to A and b belongs to B.
Given
A = {a,b,c,d,e}
B = {1,2,3,4,5}
The number of elements for Cartesian product of two sets is determined by:
Here
So,
Hence,
n(AxB) = 25
Keywords: Sets, Cartesian Product
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