100 POINTS AND BRAINLIEST please answer #4 and #5
2 answers:
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Answer:
The lines L1 and L2 neither parallel nor perpendicular
Step-by-step explanation:
* Lets revise how to find a slope of a line
- If a line passes through points (x1 , y1) and (x2 , y2), then the slope
of the line is
- Parallel lines have same slopes
- Perpendicular lines have additive, multiplicative slopes
( the product of their slopes is -1)
* Lets solve the problem
∵ L1 passes through the point (1 , 10) and (-1 , 7)
- Let (1 , 10) is (x1 , y1) and (-1 , 7) is (x2 , y2)
∴ x1 = 1 , x2 = -1 and y1 = 10 , y2 = 7
∴ The slope of L1 is
∵ L2 passes through the point (0 , 3) and (1 , 5)
- Let (0 , 3) is (x1 , y1) and (1 , 5) is (x2 , y2)
∴ x1 = 0 , x2 = 1 and y1 = 3 , y2 = 5
∴ The slope of L2 is
∵ m1 = 3/2 and m2 = 2
- The two lines have different slopes and their product not equal -1
∴ The lines L1 and L2 neither parallel nor perpendicular
First, underline the key numbers
n=Perfect Quizzes last quarter
x=School record
n+3
3•2=x
Now we solve that
3•2=6
Now we know, x=6
If the record (6) is 3 times the number of spelling quizzes Hannah scored perfectly last quarter (n), then we know we have to divide the record (6) by 3 to know how many perfect quizzes were from last quarter.
6/3=2 so, n=2
The number of perfectly scored quizzes from last quarter is 2.
n=Perfect Quizzes last quarter
x=School record
n+3
3•2=x
Now we solve that
3•2=6
Now we know, x=6
If the record (6) is 3 times the number of spelling quizzes Hannah scored perfectly last quarter (n), then we know we have to divide the record (6) by 3 to know how many perfect quizzes were from last quarter.
6/3=2 so, n=2
The number of perfectly scored quizzes from last quarter is 2.