Answer:

Step-by-step explanation:
Let us start by isolating x for dx = x + 9.
dx - x = x + 9 - x > dx - x = 9.
Factor out the common term of x > x(d - 1) = 9.
Now divide both sides by d - 1 >
. Go ahead and simplify.
.
Now,
.
.
Group the like terms...
.
>
.
Now for
.
.
Now for
.
Thus we then get
.
Now we want to combine fractions.
.



.
Expand
.
.

Therefore
.
Hope this helps!
Answer:
No
Step-by-step explanation:
Each ratio is irreducible, and they are different. Hence they are not the same value, so cannot be a proportion. A proportion is two equal ratios.
5 : 3 = 40 : 24
13 : 8 = 39 : 24 . . . . not the same as 40 : 24
_____
<em>Examples of proportions</em>
5/3 = 40/24 . . . is a proportion
13/8 = 39/24 . . . is a proportion
First, let's re-arrange to slope-intercept form.
x + 8y = 27
Subtract 'x' to both sides:
8y = -x + 27
Divide 8 to both sides:
y = -1/8x + 3.375
So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.
So the slope of the perpendicular line will be 8.
Now we can plug this into point-slope form along with the point given.
y - y1 = m(x - x1)
y - 5 = 8(x + 5)
y - 5 = 8x + 40
y = 8x + 45
Answer:
Option (2)
Step-by-step explanation:
Given expression is
÷ 
We further simplify this expression,
÷
= 
= 
= 
Therefore,
will be the quotient of the given expression.
and
for which the given expression is not defined.
Option (2) will be the answer.
Answer:
p=18
Step-by-step explanation:
p+12=30
subtract 12 from each side
p=18