Answer:
The area of the triangle is 
Step-by-step explanation:
Given:
Coordinates D (0, 0), E (1, 1)
Angle ∠DEF = 60°
△DEF is a Right triangle
To Find:
The area of the triangle
Solution:
The area of the triangle is = 
Here the base is Distance between D and E
calculation the distance using the distance formula, we get
DE = 
DE =
DE = 
DE = 
Base =
Height is DF
DF =
DF = 
DF = 
Now, the area of the triangle is
= 
=
=
=
36 x (65+27) is the same as 36(65+27) .. you are able to distribute the 36 ( distributive property) onto the 65 and 27 and add them. Also, you can add the numbers in between the parenthesis and multipy them by 36. Nonetheless, you would arrive at the same answers.
Answer:
-0.25 ; 120 seconds 72 seconds
Step-by-step explanation:
Dive rate is constant :
Change in elevation after 8 seconds :
18 feets to 20 feets below
Rate of change = distance / time
(18 - 20) feets / 8 seconds
(-2 / 8) = - 0.25 feets per second
To reach 50.feets :
She needs to cover (50 - 20) = 30 feets
Time = distance / speed ; 30 feets / 0.25 = 120 seconds
Answer:
(3) y=(x+3)
Step-by-step explanation:
I'm not sure what is the parent function, but in most graphs if you will shift it to the left or right (negative sign or positive sign, respectively), it will be inside a parenthesis and the opposite sign is the real movement.
For a cubic function these will be the movements:
f(x)=(x+/-h)^3+/-k
Only the opposite sign of h will be the real movement, while k's sign will automatically indicate the correct movement.
h= x-axis movement (horizontal, inside of the parenthesis in the equation)
k= y-axis movement (vertical, outside of the parenthesis in the equation)
Hope it helps
