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:
Therefore, the graph of f(x) = (x – 8)^3 + 4, is the parent graph [g(x) = x^3] transformed 8 units to the right, and transformed 4 units up
Step-by-step explanation:
Recall,
If f(x) is a parent function:
• Horizontal shift: If h is the horizontal shift then f(x+h)) represents a graph which is formed when the parent graph is transformed to left (when h>0) or to right (when h<0))
• Vertical shift: If h is the vertical shift then f(x)+h represents a graph which is formed when the parent graph is transformed to up(when h>0) or to down (when h<0).
Therefore, the graph of f(x) = (x – 8)^3 + 4, is the parent graph transformed 8 units to the right, and transformed 4 units up.
Answer:6
Step-by-step explanation:
Area of a rectangle = length × width
Length = 8
Breadth = ?
Area = 48
L × B = Area
8 × B = 48
Divide both sides by 8
B = 48 ÷ 8
B = 6
The diagram of the right-angled triangle is shown below
Using the Pythagoras theorem
6² = a²+a²
36 = 2a²
18 = a²
a = √18 = 3√2
Answer:
Bottom left
Step-by-step explanation:
If you graph out the coordinates it goes in a perfect line, thus being linear.