Answer: y=-5x-36
Step-by-step explanation:
In order for two lines to be parallel they need to have the same slope. so the slope (m) of the new line needs to be -5.
slope(m) =-5
and the point (-8,4) is given to us. we can create a new equation for a line using the point slope formula because we have a slope (m=-5) and a point (-8,4)
point slope formula: y-y1=m(x-x1)
y-4=-5(x--8)
simplify and pay attention to negative signs
y-4=-5(x+8)
y-4=-5x-40
y=-5x-36
:)
Alright, so the first thing I would do is find the LCM of the dividends, which is 20. So we have 10 15/20 and 6 16/20. You can either leave it there and just carry the one (20 in this case) for 3 19/20.
If you multiply 10 by 20 and add 15, or 6 by 20 and add 16 (which I think is easier) you get 215/20 - 136/20 = 79/20. It can be simplified from here if you teacher wants it in the future.
Answer:
Step-by-step explanation:
Let the original fraction is: x/ x-1
And we have that:
- 4 is added to the numerator => new numerator is: x+4
- 3 is subtracted from the denominator => new denominator is: x -1-3 = x -4
the fraction itself is increased by 2
<=> 
= 
<=> 
Solve for X then we substitue into the original fraction
Answer:
6 - 2=4
4 x 4= 16
Step-by-step explanation:
Answer:
We must prove that (c+a)(c+d) = (b+c)(b+d)
- Let us use principles from mathematical induction
- a=bx , b=cx, c=dx
- a+c = b + c
- c +d = b + d
- Such that (a+c)(c+d)=(b+c)(b+d)
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