Find the equations of the lines...
First find the slope...(y2-y1)/(x2-x1)=m
m=(6-1)/(8-5)=5/3 and it passes through (5,1) so
y=mx+b becomes:
y=5x/3+b and using (5,1)
1=5(5)/3+b
1=25/3+b
3/3-25/3=b
b=-22/3 so
y1=(5x-22)/3
.... now y2...
m=(8-3)/(-1--4)=5/3 (note it has the same slope as y1...
y=5x/3+b and using the point (-1,8)
8=5(-1)/3+b
8=-5/3+b
24/3+5/3=b
b=29/3, now note that the y-intercept is different...
y2=(5x+29)/3
Since these lines have the same slope but different y-intercepts, they are parallel to each other. (and will never intersect.)
You need to multiply the base by the height.
Answer:
Solution (-2, 7)
Step-by-step explanation:
2x + 3y = 17 (1)
5x + 6y = 32 (2)
Using elimination method
Multiply (-2) to the equation (1)
-4x - 6y = -34
Now you have 2 new equations
-4x - 6y = -34
5x + 6y = 32
----------------------------Add
x = -2
Substitute x = -2 into 2x + 3y = 17
2(-2) + 3y = 17
- 4 + 3y = 17
3y = 21
y = 7
Solution (-2, 7)
Is that the right equation?
The GCF of 40 16 and 24 is 8
<h3>How to determine the GCF of 40 16 and 24?</h3>
The numbers are given as:
40 16 and 24
Start by listing out the factors of the numbers:
This is done as follows:
- The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
- The factors of 16 are: 1, 2, 4, 8, 16
- The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
Then the greatest common factor in the above list is 8.
Hence, the GCF of 40 16 and 24 is 8
Read more about GCF at:
brainly.com/question/219464
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