The fraction equal to .66 is <span>33⁄50</span>
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
Answer:
without the sales, he would have spent $44.57
Step-by-step explanation:
Let the amount he would have spent without the sales be x. Now, if there is a 65% discount, what this means is that he is exactly paying for 100 - 65% = 35%
Now, it is this 35% of X that is equal to the amount he paid
Thus, mathematically, we have the following;
35/100 * x = 15.60
35x = 15.6 * 100
35x = 1560
x = 1560/35
x = $44.57
This means that without the sales discount, he would have paid $44.57
Sin²t +cos²t =1
<span> x=2+3 sin t
sin t=(x-2)/3
</span><span>y=1-1/2cos t
y-1= - (cos t)/2
cos t =-(y-1)/(1/2)
</span>(x-2)²/3² + (y-1)²/(1/2)² = 1
Ellipse
Answer:
149.54
Step-by-step explanation:
No idea how I got this, but it is correct. I just plugged it into Omni calculator and it gave me that. :p