The first point is (-2,2.5)
The second point is (0,2)
Step-by-step explanation:
Step 1 :
Given equation is 3x + 12y = 24
The points are
(-2,y) and (x,2)
Step 2 :
Let us take the point (-2,y)
Here x = -2 and y = y
Substituting this in the given equation we have,
3 (-2) + 12 y = 24
-6 + 12 y = 24
12 y = 24 + 6 = 30
y = 2.5
Hence the first point is (-2,2.5)
Step 3 :
The second point is (x,2)
Here x = x and y = 2
Substituting this in the given equation we have
2 x + 12 (2) = 24
2 x + 24 = 24
2 x = 24 - 24 = 0
x = 0
Hence the second point is (0,2)
Step 4 :
Answer :
The first point is (-2,2.5)
The second point is (0,2)
It's B because u have to divide them
Answer:
24. 10x
25. 24x
26. -3x
27. -25x
28. 56x
29. 10x
Step-by-step explanation:
If it says 5x+5 just add 5+5 5han add the x so 10x
If it 5x-5 just subtract them to it 0x
have a great day love :)
The scale factor is 1.5, which means that the revised
chamber is larger. The new dimensions are just the old dimensions times 1.5.
The volume of the revise chamber is:
V = (1/3) (PI) [(D/2)^2] (H)
= (1/3) (PI) {[(5.7)(1.5)/2]^2} [(12)(1.5)]
= 344.4874 in3
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Answer:
336 ways ;
56 ways
Step-by-step explanation:
Number of ways to have the officers :
Number of qualified candidates, n = 8
Number of officer positions to be filled = 3
A.)
Using permutation (since the ordering matters):
nPr = n! ÷(n-r)!
8P3 = 8! ÷ (8-3)!
8P3 = 8! ÷ 5!
8P3 = (8*7*6)
8P3 = 336 ways
B.) Different ways of appointing committee: (ordering doesn't count as officers can also be appointed)
Using the combination relation :
nPr = n! ÷(n-r)!r!
8C3 = 8! ÷ (8-3)! 3!
8C3 = 8! ÷ 5!3!
8C3 = (8*7*6) ÷ (3*2*1)
8C3 = 336 / 6
8C3 = 56 ways