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kolbaska11 [484]
3 years ago
13

Tx+12y=-3

Mathematics
2 answers:
Lisa [10]3 years ago
3 0
In form
ax+by=c
slope=-a/b

a=T
b=12
slopt=-10
-10=-T/12
multiply both sides by 12
-120=-T
mulitply -1
120=t


T=120
Ket [755]3 years ago
3 0
First, you need to write this equation in the y = ax + b structure.
To do this, you need to isolate the y on one side.

The 'a' in the formula is your slope, so replace it with (-10), and solve the equation. You'll get the answer.

Hope this is helpful!
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Answer:

n(A\ u\ B) = 10

n(A'\ u\ C) = 10

n(A\ n\ B)' = 6

Step-by-step explanation:

Given

n(U) = 12

n(A\ n\ B) =n(A\ n\ C) = n(B\ n\ C) =6

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Required

Solve a, b and c

There are several ways to solve this; the best is by using Venn diagram (see attachment for diagram)

Solving (a):

n(A\ u\ B)

This is calculated as:

n(A\ u\ B) = n(A) + n(B) - n(A\ n\ B)

From the attachment

n(A) = 0+2+4+2 = 8

n(B) = 0+2+4+2 = 8

n(A\ n\ B) = 4 +2 = 6

So:

n(A\ u\ B) = 8 + 8 - 6

n(A\ u\ B) = 10

Solving (b):

n(A'\ u\ C)

This is calculated as:

n(A'\ u\ C) = n(A') + n(C) -n(A'\ n\ C)

From the attachment

n(A) = n(U) - n(A) = 12 - 8 = 4

n(C) = 0+2+4+2 = 8

n(A'\ n\ C) = 2

So:

n(A'\ u\ C) = 4 + 8 - 2

n(A'\ u\ C) = 10

Solving (c):

n(A\ n\ B)'

This is calculated as:

n(A\ n\ B)' = n(U) - n(A\ n\ B)

n(A\ n\ B)' = 12- 6

n(A\ n\ B)' = 6

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