Answer:
(3, 1.7)
Step-by-step explanation:
The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.
Two lines are perpendicular if the product of their slopes is -1.
The slope of the line joining D(0,0), F(3,7) is:
The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:
The slope of the line joining E(7,0), and F(3,7). is:
The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:
The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:
x = 3, y = 1.7
Total area of the rectangular land = 2^15 sq. miles
= 32768 sq. miles
total area of the pieces being sold = 8^3 sq. miles
= 512 sq. miles
now total no. of pieces = total area of the land / the area of samaller land that's being sold
= 32768 / 512
= 64
so the actual number of pieces is 64
The rule for g(x) is: 
Step-by-step explanation:
Given function is:
When a function f(x) is shifted right or left, b units the new function is written as:
Shifting right
Shifting left
Similarly, when shifting up or down
As our given function is shifted 3 units to the right, it will be written as:
The function is when moved down 3 units, then
Hence
The rule for g(x) is:
Keywords: Function transformation, Functions
Learn more about functions at:
#LearnwithBrainly
Answer:
See Below
Step-by-step explanation:
That rule is a transformation across the x-axys.
Assigne a letter to each point:
A = (2, 7) => A' = (2, -7)
B = (-5, -2) => B' = (-5, 2)
C = (4, -3) => C' = (4, 3)
