Answer: -10
Step-by-step explanation:
This is the area of a trapezoid and the formula for that is:
.5(h)(b1 + b2) where h is height and b1 and b2 are the base length or the length of the parallel sides. therefore, our area is:
.5(16)(6+12)
8(18)
144
if you're wondering why the area formula works, construct another trapezoid but this time upside-down. now flip it along it's height axis so you can align one of the side lengths of the 2 trapezoids and you have a parallelogram.
the base of this parallelogram is b1+b2 of the original trapezoid and the height still remains h so the area of this parallelogram is (h)(b1 + b2). however, we want to find the area of the trapezoid but we find that the parallelogram is twice the area of our trapezoid so the area of the trapezoid is half the area of the parallelogram. so area = .5(h)(b1 + b2).
let me know if you have any questions!
Answer:
The geometric mean of 6 and 30 is 13.416407864999
The equivalent system of equations that would guarantee a solution of (3,-1) are
- a. (p+f)x+(q+g)y= r+h and fx+gy=h
- d. px+qy=r and (f-2p)x+(g-2q)y=h-2r
- e. px+qy+r and 5fx+ 5gy = 5h
<h3>How to determine the system of equations?</h3>
The system of equations is given as:
px +qy =r
fx + gy = h
Add both equations
(p + f)x + (q + g)y = r + h
Multiply the second equation by a constant (say 5)
5fx + 5gy = 5h
Multiply the first equation by a constant (say 2)
2px + 2qy = 2r
The combination of any of the above equations to the given equation would guarantee a solution of (3,-1)
Hence, the equivalent system of equations are (a), (d) and (e)
Read more about system of equations at:
brainly.com/question/14323743
#SPJ1
Answer:
this is a negative association
Step-by-step explanation:
