Hello and Good Morning/Afternoon!
<u>Let's take this problem step-by-step</u>:
<u>What the problem asks for:</u>
⇒ to rationalize the denominator
⇒ rationalize means that you multiply the numerator and
demonimator by the denominator
<u>Let's put that into action</u>:
<== <u>Answer</u>
<u></u>
Hopefully that helps!
There is a lack of a diagram to go along with this question...
Answer: y =
x + 1
Step-by-step explanation:
First, we will find the slope. The slope of perpendicular lines are negative reciprocals.
In this case, the first slope is 2. The negative of 2 is -2, and the reciprocal of -2 is
.
Now, we will plug in this new slope, the point given, and solve for the <em>b</em>, or the y-intercept.
y = <em>m</em>x + <em>b</em>
(-1) = (
)(4) + <em>b</em>
-1 = -2 + <em>b</em>
1 = <em>b</em>
Lastly, we will write our equation.
y = <em>m</em>x + <em>b</em>
y =
x + 1
The line is y =
x + 1, or y = 1 -
.
<span>8 - 2b = -2/3(12b + 6)
8 - 2b = -8b -4
8 + 4 = -8b + 2b
12 = -6b
b = -12/6
b = -2
So, your final answer is b = -2</span>
Answer:

Step-by-step explanation:
Solve for the value of
:

-Take
and subtract it from
:


-Subtract both sides and convert
to a fraction:


Since both
and
have the same denominator, then you would subtract the numerator:


-Multiply both sides by
, which is the reciprocal of
:



-Divide
by
:


So, therefore, the value of
is
.