Answer: 
Step-by-step explanation:
Slope of two lines that are perpendicular to each other is 1.
If one line is
, then its slope = 3 [by comparing to the linear equation y= mx+c, here m=3]
Let n be the slope of the required line, then

Equation of line with slope n and passers through (a,b) is

Equation of line with slope n=
and passes through point ( 0,-4) :

Hence, Required equation : 
9514 1404 393
Answer:
C. 2x^2 -8x +3 +1/(x +4)
Step-by-step explanation:
Synthetic division is useful for finding the quotient. Or, you can use polynomial long division. The result is the same, but synthetic division requires less writing.
Answer:
m∠V ≈ 61°
Step-by-step explanation:
The hypotenuse and the side opposite the angle of interest are given. The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(V) = XW/XV = 7/8
The inverse sine function is used to find the angle:
V = arcsin(7/8) ≈ 61°
Answer:
The interquartile range is <em>50.</em>
Step-by-step explanation:
To find our answer we have to first <em>quartile 1</em> and <em>quartile 3</em> are equal too. When we look at the plot <em>quartile 1 </em>is equal to <em>20,</em> <em>quartile 3 </em>is equal to <em>70</em> because it is in between <em>60</em> and <em>80</em>. Now to find the interquartile range we will <em>subtract 70</em> from <em>20</em> and we get <em>50</em>. Therefore, <u><em>50</em></u><em> is our answer.</em>
Answer:

Step-by-step explanation:
we know that
The volume of a trough is equal to

where
B is the area of equilateral triangle
L is the length of a trough
step 1
Find the area of equilateral triangle B
The area of a equilateral triangle applying the law of sines is equal to

where


substitute


step 2
Find the volume of a trough

we have


substitute

