True, this equation is a quadratic equation,.
The given function is
![h(x) = \{ (0,1), (2,3), (-4, 1) \}](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%5C%7B%20%280%2C1%29%2C%20%282%2C3%29%2C%20%28-4%2C%201%29%20%5C%7D)
The inverse function is
![h^{-1}(x) = \{ (1,0), (3,2), (1,-4)\}](https://tex.z-dn.net/?f=h%5E%7B-1%7D%28x%29%20%3D%20%5C%7B%20%281%2C0%29%2C%20%283%2C2%29%2C%20%281%2C-4%29%5C%7D)
To get the inverse, we swap each x and y coordinate.
The rule is ![(x,y) \to (y,x)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28y%2Cx%29)
So that's why the point (0,1) becomes (1,0) for instance.
Answer:
144 units²
Step-by-step explanation:
The net of the right triangular prism consists of 3 rectangles and 2 equal triangles
Let's solve for the area of each:
✔️Area of rectangle 1 = L*W
L = 11
W = 3
Area of rectangle 1 = 11*3 = 33 units²
✔️Area of rectangle 2 = L*W
L = 11
W = 4
Area of rectangle 2 = 11*4 = 44 units²
✔️Area of rectangle 3 = L*W
L = 11
W = 5
Area of rectangle 3 = 11*5 = 55 units²
✔️Area of the two triangles = 2(½*base*height)
base = 4
height = 3
Area of the two traingles = 2(½*4*3)
= 12 units²
✔️Surface area of the right triangle = area of rectangle 1 + area of rectangle 2 + area of rectangle 3 + area of the two triangles
= 33 + 44 + 55 + 12
= 144 units²
The answer depends on the way you solved it.
I am assuming you take the base on which you perceived to be: . 5 and height which is 2.
So you must've ended with 1
But in actuality, you need to use the equation above and plug in 1.5 and 1
Subtract them and you should get 1.25
Do the same to the other side, you should get 6.
.125 x 6 = .875
Answer:
They live 285 miles apart
Step-by-step explanation:
Let the total distance be x miles
Sean is driving to visit his friend in another state. In the first hour he travels 1/5 of the total distance. This means that he drove x/5 in the first hour. In the second hour he travels 34 miles. That means
Total distance driven in the first and second hour is
(x/5 + 34)miles
He still has 194 miles more to go.
Therefore,
The total distance is the sum of the distance travelled in the first and second hour + the remaining distance.
x = x/5 + 34 + 194
x = x/5 + 228
Cross multiplying
5x = x + 1140
4x = 1140
x = 1140/4 = 285 miles