Answer:
6
Step-by-step explanation:
So hmm notice the picture below
you're simply being asked to, approximate the area, by using 4 rectangles, like in the graph, it doesn't have to be an exact value, just an approximation, based on the width and height of the rectangles, and getting their area by that
those rectangles are 0.39 radian long, since if you split π/2 in 4 pieces, you get around that much, the last rectangle there is a bit smaller than 0.39.... but they don't have to be 4 rectangles of equal length
so, get the area of the rectangles, based on their width and height, and sum them up
Answer:
LMN has a larger area
Step-by-step explanation:
Given
RST



LMN



Required
Compare both areas
The area of triangle is:

For RST, we have:


Remove absolute signs


For LMN, we have:



Remove absolute signs


<em>By comparing both areas, we can conclude that LMN has a larger area</em>
To complete the square:
we take the coefficient ox "x" (which in this problem is -20)
we divide it by 2
square that number
then add it to both sides of the equation
-20 / 2 = -10
-10^2 = 100
then we add 100 to both sides of the equation:
x^2 -20x
x^2 -20x +100 = 100
******************************************************
To get the roots of the equation, we take the square root of both sides:
(x -10) * (x-10) = 10
(x-10) = square root (10)
x-10 =
<span>
<span>
<span>
3.1622776602
</span>
</span>
</span>
x1 =
<span>
<span>
<span>
13.1622776602
</span>
and don't forget that square root of 10 also equals </span></span><span><span><span> -3.1622776602
</span>
</span>
</span>
x2 = 10
-<span>
<span>
<span>
3.1622776602
x2 = </span></span></span>
<span>
<span>
<span>
6.8377223398
</span>
</span>
</span>
Answer:
The coordinates are ( 4, -3).
Step-by-step explanation:
We can find the coordinates by solving the 2 equations
y = 1/4x-4
y = -1/2x-1
As both left sides of the equation are y we can say:
-1/2x-1 = 1/4x-4
-1/2x - 1/4x = -4 + 1
-3/4 x = -3
x = -3 * -4/3
x = 4.
- and y = 1/4(4) - 4 = -3.