The area of this rectangle is x*y. But, this problem requires that you represent the variable "y" in terms of "x" only.
A hint here is that the variable "y" represent a point on the line that connects the end points (0,b) and (a,0).
The first step to solve this problem is to get the expression of this line.
The slope of this line is: m = (0 - b)/(a - 0) = -b/a
Because the point (x,y) is on this line we have: y - b = m(x - 0)
y = (-b/a)x + b
Solution: Area of the rectangle = x*y = x*((-b/a)x + b) = (-b/a)x2 +bx
Answer:
The length of the rectangle is x+5.
Step-by-step explanation:
Given : The rectangle below has an area of
square meter and a width of
meter.
To find : What expression represents the length of the rectangle?
Solution :
The area of the rectangle is given by,
![\text{Area}=\text{Length}\times \text{Breadth}](https://tex.z-dn.net/?f=%5Ctext%7BArea%7D%3D%5Ctext%7BLength%7D%5Ctimes%20%5Ctext%7BBreadth%7D)
![\text{Breadth}=x+3](https://tex.z-dn.net/?f=%5Ctext%7BBreadth%7D%3Dx%2B3)
![x^2+8x+15=\text{Length}\times(x+3)](https://tex.z-dn.net/?f=x%5E2%2B8x%2B15%3D%5Ctext%7BLength%7D%5Ctimes%28x%2B3%29)
![\text{Length}=\frac{x^2+8x+15}{x+3}](https://tex.z-dn.net/?f=%5Ctext%7BLength%7D%3D%5Cfrac%7Bx%5E2%2B8x%2B15%7D%7Bx%2B3%7D)
![\text{Length}=\frac{(x+5)(x+3)}{x+3}](https://tex.z-dn.net/?f=%5Ctext%7BLength%7D%3D%5Cfrac%7B%28x%2B5%29%28x%2B3%29%7D%7Bx%2B3%7D)
![\text{Length}=x+5](https://tex.z-dn.net/?f=%5Ctext%7BLength%7D%3Dx%2B5)
Therefore, the length of the rectangle is x+5.
Answer:
b= 10 miles/hr and c= 5 miles/hr
Step-by-step explanation:
Let it's downstream and upstream speed be d and u respectively
also speed of the boat be b and speed of stream be c.
as per question d = 150/10= 15 miles/hr
and, u= 150/30= 5 miles/hr
also we know d= b+c = 15.....i and u = b-c= 5....ii
solving i and ii we get b= 10 miles/hr and c= 5 miles/hr
Answer:
it would be 12
Step-by-step explanation:
Answer:
60 degrees.
Step-by-step explanation:
A full rotation is 360 degrees.
So 1/6 is 360 * 1/6 = 60 degrees.