you didn't give the options but constant of proportionality is a number you have to multiply x by to get y.
y=kx is the equation that expresses the proportionality of x and y
the constant of proportionality is k, so k=2
y= kx becomes y=2x
so y = 2x should be the answer
Using the formula a^2+b^2=c^2you can fill in the numbers so that a=height of mattress in inches,b=40 inches or distance from base of the bed and c=48 or length of the ramp. a^2+40^2=48^2a^2+1600=2304
So then it becomes2304-1600=a^2704=a^2 26.5+=aSo, The top of the mattress(after rounding) is 26.5 inches off the ground.
Answer:
Step-by-step explanation:
Given the fraction 
Consider its numerator and factor it:
You cann not take the cube root from 
you can only take the cube root from 
, then the smallest whole number 
such that is a cube number is
When 
Since 
is the square of x and 6x is twice the product between x and 3, the second square must be 3 squared, i.e. 9.
So, if we think of 15 as 9+6, we have
Which is the required vertex form. This form tells us imediately that the vertex is the point (3,6).
Since the leading coefficient is 1, the parabola is facing upwards (it's U shaped), so the vertex is a minimum.
I think there is a lack of information with regards to the question posted above. This may be the complete question:
Van is 75% taller than Keith. If Van's height increases by 40% while Kieth's increases only by 25%, by what percent is Van taller than Kieth now?
We put Van at 175 and Kieth at 100 since Van is 75% taller than Keith.
When Kieth's height increased at 25%, he is now 125
When Van's height increased at 40%, he is now 245
245-125=120 and
<span><span><span>120/125</span>= .96 = 96%
The answer is 96%. I hope this helps.</span></span>
