The first side is 10 inches
the side parallel to this is (10×2)= 20 inches
Height is half the length=1/2×20=10 inches
The area of trapezium is given by:
Area=1/2×h×(a+b)
where a and b are the sides, h is the height. Thus the area will be:
Area=1/2×10×(20+10)
=1/2×10×30
=150 sq. inches
Answer:
![h(x) = \frac{1}{2} x+ 5](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20x%2B%205)
Step-by-step explanation:
To find the inverse of a function, simply switch the 'x' and 'y' variables. Substitute in 'y' in the place of f(x) for this purpose:
y = 2x - 10
Switch positions:
x = 2y - 10
Add '10' to both sides to begin simplifying:
x + 10 = 2y
Divide both sides by 2:
![y= \frac{x+10}{2}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7Bx%2B10%7D%7B2%7D)
This can be rewritten as:
![y = \frac{1}{2} x+ 5](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20x%2B%205)
Therefore, the inverse of the function is:
![h(x) = \frac{1}{2} x+ 5](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20x%2B%205)
Answer:
[2,6]
Step-by-step explanation:
3x+5y=36
5x-4=y
3x+5(5x-4)=36
3x+25x-20=36
28x-20=36
28x=56
x=2
5x-4=y
5*2-4=y
10-4=y
6=y
1/3(21 - 3a) = 6 - a
7 - a = 6 - a
7 = 6
Therefore, the equation has no solution.
Answer:
(-2,5)
Step-by-step explanation:
4x+4y=12
6x-4y=-32
10x=-20
x=-2
4(-2)+4y=12
-8+4y=12
4y=20
y=5