Answer:
The length of the hypotenuse is 30 feet
Step-by-step explanation:
Here, we are to calculate the length of the hypotenuse of an iscosceles right triangle.
For the triangle to be isosceles, it means that the opposite and the adjacent are equal in length.
Now, to calculate the value of the hypotenuse, we make use of the Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Mathematically;
let’s say the hypotenuse is length h feet
h^2 = {15√(2)}^2 + {15√(2)}^2
h^2 = (225 * 2) + (225 * 2)
h^2 = 450 + 450
h^2 = 900
h = √(900)
h = 30 feet
In interval notation the domain would be: (-infinity,-2]U[2,3)U(3,+infinity)
The change in Marcus's investment is
... (75 shares)×(-$2/share) . . . . your multiplication expression
... = -$150 . . . . . . . . . . . . . . . . . . evaluated
g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:
Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.
Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.
Answer
- g(x) = x+4
- Therefore the value of k is 4.
I think the equation you are looking for is 10t=300d but you may have to simplify it.