Answer:
1056
Step-by-step explanation:
Find the area of each square and add them to find the area of the rectangle
The area of a square = side * side
The areas are:
1*1= 1
4*4 = 16
7*7 = 49
8*8 = 64
9*9 = 81
10*10 = 100
14*14 = 196
15*15 = 225
18*18 = 324
The sum of the areas =
324+225+196+100+81+64+49+16+1
= 1056 units ^2
Answer:
x = 1
Step-by-step explanation:
There are a couple of ways to solve this. One is to graph the left side of the equation, graph the right side of the equation, and look for the point where those graphs intersect. It is at x = 1. The first attached graph shows this solution.
__
Another method for solving such an equation is to subtract one side from the other and look for the value of x that makes the resulting expression zero.
(-2x +3) -(-3(-x) -2) = 0
A graphing calculator doesn't need to have this simplified. If it is simplified, it becomes ...
-5x +5 = 0
So, the graphed line is y = -5x+5. Its x-intercept is x=1, the solution of the original equation. The graph of this is shown in the second attachment.
Answer:
Sampling is necessary because researchers in the social sciences almost never have enough resources — time or money — to collect information about the entire set of subjects of interest to them.
Step-by-step explanation:
Sampling is done because you usually cannot gather data from the entire population. Even in relatively small populations, the data may be needed urgently, and including everyone in the population in your data collection may take too long.
A point , (x,y) is reflected across the y axis. the resulting point is (-x,y)
so
if (5.75,0) is the reflected point, then (-5.75,0) is the original
the distance is the double the absolute value of the x value (basically a horizontal line beteen the 2 points)
so
2|-5.75|=2(5.75)=11.5
distance is 11.5 units
First, plot the points. Point R would be somewhere in the second Quadrant, point M would be in the first quadrant 1, point B would be in the fourth quadrant, and point S would be on the negative y-axis. A property of rhombi is that their diagonals are perpendicular. One would need to calculate the slopes of the diagonals and determine whether or not they are perpendicular. Lines are perpendicular if and only if their slopes are opposite reciprocals. Example: 2 and -0.5
Formulas needed:
Slope formula:

The figure would look kinda like this:
R
M
S
B
Diagonals are segment RB and segment SM
So, your slope equations would look like this:

and

Slope of RB= -1
Slope of SM=7
Not a rhombus, slopes aren't perpendicular. But this figure may very well be a parallelogram