Line 1 and line 4 are parallel
Step-by-step explanation:
Two lines are said to be parallel if they have same slope.
In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.
Line 1:
Applying distributive property,
Line 2:
Line 3:
Applying distributive property,
Line 4:
re-arranging,
Now we have rewritten all the lines in the form 
, where m is the slope. By comparing the values of m, we see:
Therefore, the lines which are parallel are line 1 and line 4.
Learn more about parallel and perpendicular lines:
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3(4x - 2) = 2(6x - 3)
12x - 6 = 12x - 6
Add 6 on both sides
12x = 12x
Divide by 12 on both sides
x = x
That means this has infinite solutions. Your answer is B.
223
-119
104
In stead of doing 3-9 and 2-1 do 23-19 then 2-1
So convert to improper fracitons (improper=x/y where x>y and the current one is mixed where it is in t s/f form) so
40 and 4/5=(40 times 5)/5 and 4/5=200/5 and 4/5=204/5
50 and 7/8=(50 times 8)/8 and 7/8=400/8 and 7/8=407/8
area=legnth times width
legnth =407/8
width=204/5
multiply 407/8 and 204/5
407/8 times 204/5=(407 times 204)/(8 times 5)=83028/40=2075.7 square feet
the answer is 2075.7 ft^2 of seed
Answer:
option a)
0.286
Step-by-step explanation:
Given that,
number of red pens in cup = 5
number of black pens in cup = 10
number of pen randomly selected = 3
There are 5 red pens and 10 black pens. So there are 5 + 10 = 15 pens in all.
probability of having all red pens = (5/15 x 4/14 x 3/13)
= 2/91
probability of having all black pens = (10/15 x 9/14 x 8/13)
= 24/91
probability that all pen are of same colour = 24/91 + 2/91
= 2/7
≈ 0.286
