Answer:
2.899
Step-by-step explanation:
The formula for calculating the distance between two points P(x1, y1) and (x2, y2) is expressed as:
D = √(x2-x1)²+(y2-y1)²
Given the points (2,-2) and (1,x) and the distance between the point as 5, we are to get x. To get x we will substitute the points and the distance given into the formula.
Given x1 = 2, y1 = -2, x2 = 1, y2 = x and D = 5
On substitution:
5 = √(1-2)²+(x-(-2))²
5 = √1²+(x+2)²
5 = √1+(x+2)²
Square both sides of the equation
5² = (√1+(x+2)²)²
25 = 1+(x+2)²
(x+2)² = 25-1
(x+2)² = 24
Square both sides
√(x+2)² = √24
x+2 = √24
x = √24- 2
x = 4.899-2
x = 2.899
Hence the other value is 2.899
Answer:
To find:
The graph of h(x) using the graph of f(x).
Solution:
We have,
It a parent quadratic function. The graph of this function is an upward parabola with vertex at origin, i.e., (0,0).
Now,
It can be written as
![[\because f(x)=x^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3Dx%5E2%5D)
It means, the graph of f(x) shifted 5 units left to get the graph of h(x)
Therefore, the graph of both functions are shown below.
Answer:
4x + 18
Step-by-step explanation:
This is called a composite function, meaning passing the range of one function as a domain of another function.
For f(f(x)), the inner-function's range is passed as the domain of the outer function.
We can do so by substitution,
The range of f(x) can be written as 2x + 6 for any defined x values,
So we will substitute 2x + 6 as the 'x' of another function which is in this case
f(x) again, so it looks like this 2(2x+6) + 6 which can be simplified into
4x + 18
The closest is D . But it should be + x^2 not - x^2
That is C. my fellow brainy hope you get an A+
