Answer:You would place it on a graph according to the numbers, don’t worry about any sizes if they have different numbers.
Step-by-step explanation:
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
By applying the Pythagorean theorem, we will find that the length of the other leg of the right triangle is 40.7 yards.
If for right triangle we define A and B as the length of the two legs, and H as the length of the hypotenuse, the Pythagorean theorem says that:
A^2 + B^2 = H^2
Here we know that:
A = 14 yd
H = 43 yd
And we want to find the other leg, then we can replace that in the equation to get:
(14yd)^2 + B^2 = (43yd)^2
B = √( (43yd)^2 - (14yd)^2) = 40.7 yd
So the other leg length is 40.7 yards.
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
Use the difference of squares factorization - that for any numbers a and b, (a-b)(a+b)=a^2-b^2.
We have:
(x^2+1)(x^2-1)=x^4-1
In addition:
(x-1)(x+1)=x^2-1, so we have:
(x^2+1)(x+1)(x-1)
As our complete factorization.
