Answer:
The equation to represent the rate of receding water level is L = 34 
.
Step-by-step explanation:
Given as :
The initial level of water in river = 34 feet
The rate of receding water level = 0.5 foot per day
Or, The rate of percentage of receding water level = 50 % per day
Let the level of water after d days = L
Now,
The level of water after d days = initial level of water × ( 
I.e L = 34 × ( 
∴ L = 34 ×
Hence The equation to represent the rate of receding water level is L = 34 . Answer
Answer:
x ≠ 4 or -2
Step-by-step explanation:
the denominator cannot be zero, so factor the bottom equation to get the zeros and those are the domain restrictions.
3x^2 - 6x - 24 ≠ 0
3(x^2 - 2x - 8) ≠ 0 (factor out a 3)
3(x - 4)(x + 2) ≠ 0 (factor equation)
x ≠ 4, x ≠ -2 (use zero product property to find zeros)
Answer:
Point A would be at the coordinates, (-4, 1). Hope this helps!
Answer:
x = 16
Step-by-step explanation:
The equation shown can be solved this way.
x^2 +(x -4)^2 = 20^2
x^2 +x^2 -8x +16 = 400
2x^2 -8x -384 = 0
x^2 -4x -192 = 0
(x -16)(x +12) = 0
The positive solution is ...
x = 16
_____
Since this makes use of the Pythagorean theorem, you've probably run across the 3-4-5 triangle. You often find scaled versions of it in algebra and geometry problems. Here, it is scaled by a factor of 4 to give a 12-16-20 triangle as half of the display screen.
The 3-4-5 triple is the only Pythagorean triple that is an arithmetic sequence. So, if the difference in side lengths is 4 and the diagonal is 5×4, you can be pretty certain that x = 4×4 and x-4 = 4×3.
Answer:
15(5)+3=78
21(5)+4=109
78+109=187
Step-by-step explanation:
