Answer:
y = 22.5 m
Step-by-step explanation:
given,
length of the tower = 90 m
distance between the towers = 1600 m
height of cable at 400 m = ?
we know
y = a x²
x is the distance from the center where the cable is touching the ground
at the far end y = 90 m and x = 800
90 = a × 800²
now height at x = 400
y = 22.5 m
height of the cables at 400 m is equal to y = 22.5 m
Answer:
d) the height of red prism is three times the height of the blue prism.
Step-by-step explanation:
i) the volume of a rectangular prism is given by area of base height.
ii) volume of the blue prism is = (base of blue prism) (height of blue prism)
iii) volume of red prism is = (base of red prism) ( height of the red prism)
= ( base of blue prism) ( height of red prism)
iv) it is also given that
volume of blue prism = volume of red prism
⇒ (base of blue prism) (height of blue prism) = (base of red prism) (height of red prism)
⇒(base of blue prism) (height of blue prism) = ( base of blue prism) (height of red prism)
⇒ (height of blue prism) = (height of red prism)
∴ height of red prism = 3 height of blue prism
Therefore the correct option is
d) the height of red prism is three times the height of the blue prism.
y=e^x+3.
The given graph of the function y = e^x
he transformation occur when we add c to the parent function y = e^x giving us a vertical shift c unit in the same direction as the sign.
The y axis of a coordinate plane is the vertical axis. When a function shifts vertically, the value of y changes.
The given parent function: y = e^x,
we can now graph the vertical shift alongside i.e, c=3
Then, the upward shift function is, y = e^x + c
Substitute the value of c=3,
then, the transformed equation becomes, y = e^x + 3
as it goes through (0,4).
∴The equation y = e^x + 3 represents the transformed function.
Answer:
Step-by-step explanation:
(a) Option B cost less at 120 miles driven
The cost difference at 120 miles between option A and option B is $15
(b) Option A and B cost the same at driving 60 miles.
Option B would cost more if you drive less than 60 miles.
Answer:
Step-by-step explanation: