Answer:
D.
Step-by-step explanation:
When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be
, and
would be -5. The equation is written in slope-intercept form:

m is the slope, so find the equation with the opposite reciprocal of 3,
:
is the only option with the correct slope, so the answer is D.
Answer:
cot theta = -√3
Step-by-step explanation:
we are given that cos theta = - √3/2 within the range 180° < theta < 270° and
since cos theta = adj/hyp
adj = - √3
hyp = 2
Get the opposite using the pythagoras theorem
hyp^2 = opp^2 + adj^2
2² = opp² + (-√3)²
4 = opp² + 3
opp² = 4-3
opp² = 1
opp = 1
tan theta = opp/adj
tan theta = - 1/√3
Recall that cot theta = 1/tan theta
cot theta = 1/(-1/√3)
cot theta = -√3
Answer:
1/625
Step-by-step explanation:
Exponent Rule: 
Exponent Rule: 
5⁻⁸ · 5⁴ = -8 + 4 = -4
5⁻⁴
1/5⁴
1/625
6,4 would be the write answer.
Answer:
<em>Mark used 6.43 megabytes of data.</em>
Step-by-step explanation:
The given equation is:
, where
is amount of data used in megabyte.
For finding the amount of data Mark used, <u>we need to solve the above equation for
</u>.
First subtracting 5.25 from both sides, we will get.....
Now, dividing both sides by 0.3 ...........

<em>(Rounded to the nearest hundredth)</em>
Thus, Mark used 6.43 megabytes of data.