Answer:
<3 ~= <5 - Alternate Interior Angles Theorem
<3 ~= <7 - Corresponding Angles Theorem
<5 ~= <7 - Vertical Angles Theorem
line I || line m - Transitive Property
Answer:
x = \sqrt(6)/3 , - \sqrt(6)/3
Step-by-step explanation:
decimal form:
x= 0.81649658..., -0.81649658...
Answer:
If you divide both top and bottom of by 2, you get
The <span>line determined by ( -4 , 3 ) and ( 6 , 3 ) has the slope
3-3
m = ------- = 0.
10
Normally the slope of a line perpendicular to one with slope m is the negative reciprocal of m. Here, however, the slope is zero, and the negative reciprocal of that does not exist. This signifies a VERTICAL line with undefined slope.
Thus, all we have to do to locate this line is to look at the x component of the given point thru which the line is to pass: That comp is 2.
Thus, the equation of the new line perpendicular to the old is x = 2.</span>
Answer:
30*x + 14850/x
Step-by-step explanation:
Let x be the length of the two opposite sides of the region with material costs of $15 per linear foot.
Let y be the length of the other two sides
Now, we have the following equations
Area of the rectangular región = x * y = 450 ft2
Total cost of fencing = 15*x + 15*x + 15 *y + 18*y
Total cost of fencing = 30*x + 33 *y
We now that area is equal to 450 ft2 = x*y
So y = 450/x
Now we can substitute y in equation for Total cost of fencing and obtain a function that expresses the cost of fencing the region in terms of the length, x
Total cost of fencing = 30*x + 33 *(450/x)
Total cost of fencing = 30*x + 14850/x