Answer:
x = - 6
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 9 when x = 3, thus
k =
=
= - 3
y = - 3x ← equation of variation
When y = 18, then
18 = - 3x ( divide both sides by - 3 )
x = - 6
Answer:

Step-by-step explanation:
To solve, we need to take square root of both sides first:

Now we use the property of radical shown below to simplify square root of 28:
Property: 
Now, we have:

Now we take 4 to the other side and isolate x:

first answer choice is right.
The value of x is equal to 14.
Since the bottom side is equal to 3 of the small triangle and the side of the larger triangle is equal to 9, that means that it was dilated by a factor of 3, since 3 * 3 = 9
So, the other side of 5, of the smaller triangle needs to be also be dilated by a factor of 3, so the new side is 15.
The larger triangle tells us that the side is x + 1, but we know that it is equal to 15. Since they are the same, we make them equal and solve for x
So, 15 = x + 1
We subtract 1 to isolate x and we get
14 = x
So, x is equals to 14.
I hope this helps.
YOU'RE WELCOME :D
I think that answer would be C
Answer:

Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:

In which m is the slope and b is the y-intercept.
Perpendicular lines:
When two lines are perpendicular, the multiplication of their slopes is -1.
Perpendicular to y=1/8x+2
This line has slope 
So, for the line we want to find the equation, we have that:


So

Find the equation of the line through point (1,−5)
This means that when
. We use this to find b. So:



The equation of the line is:
