which expression is equivalent to 3 x - 3y
3 x - 3y
factor out the 3
3(x-y)
Complete Question:
The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizontal distance and y represents height, both in meters.
Point Z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z?
Answer:
The height is 36 meters
Step-by-step explanation:
Given

Required
The interpretation of the question is to determine the value of y when x = 15
Substitute 15 for x in: 



<em>The height is 36 meters</em>
Answer:
6x
Step-by-step explanation:
Given that a function f(x) is given as

A) 
Now divide by delta x

B) When delta x tends to 0, this becomes

(NOte: This is the derivative of f(x))
Answer:
a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle
Step-by-step explanation:
Let l = the original length of the original rectangle
Let w = the original width of the original rectangle
From the description of the problem, we can construct the following two equations
l=2*w (Equation #1)
(l+4)*(w+4)=l*w+88 (Equation #2)
Substitute equation #1 into equation #2
(2w+4)*(w+4)=(2w*w)+88
2w^2+4w+8w+16=2w^2+88
collect like terms on the same side of the equation
2w^2+2w^2 +12w+16-88=0
4w^2+12w-72=0
Since 4 is afactor of each term, divide both sides of the equation by 4
w^2+3w-18=0
The quadratic equation can be factored into (w+6)*(w-3)=0
Therefore w=-6 or w=3
w=-6 can be rejected because the length of a rectangle can't be negative so
w=3 and from equation #1 l=2*w=2*3=6
I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.
Answer:
d = 3
Step-by-step explanation:
Expand the right side and compare the coefficients of like terms
x² + 6x + c = x² + 2dx + d²
For the 2 sides to be equal then coefficients of like terms must be equal
compare coefficients of x- terms, then
2d = 6 ⇒ d = 3