To solve this problem you must apply the proccedure shown below:
1. You have that
varies inversely with
and when
the value of
is
.
2. Therefore, you can write the following expression, where
is the constant of proportionality:

3. Solve for the constant of proportionality and substitute the values to calculate it:

4. The equation is:

The answer is: 
Answer:
Y=5/2x-3
Step-by-step explanation:
The equation's slope is -4/10, which simplifies to -2/5. The reciprical of this, 5/2, is the slope of a perpendicular line. The first possibility you commented is the only one to have this slope.
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Answer:
ABC = 27
DBC = 56
Step-by-step explanation:
ABC + CBD = ABD
x+10 + 4x-12 = 83
Combine like terms
5x -2 = 83
Add 2 to each side
5x-2+2 = 83+2
5x = 85
Divide each side by 5
5x/5 = 85/5
x =17
ABC = x+10 = 17+10 = 27
DBC = 4x-12 = 4*17 -12 = 68-12 = 56
<u>Answer:
</u>
The complete factorization of
are 4(x-3y)(x+3y)
<u>Solution:</u>
Given Data:

Take common value in all the three term.so we take 4 as common term in the above expression

Now factorize the expression 
Find the two numbers, whose product should be 9 and sum should be -6.
-3,-3 are the numbers which satisfy the above condition.
When we add -3-3=Sum is 6
Product of -3
-3= 9
-3 , -3 satisfies the condition.
So the expression will become as
= 
Take the common term
x(x-3y)+3y(x-3y)
(x-3y)(x+3y)
hence the complete factorization of
are 4(x-3y)(x+3y)