Answer:
z = 36
Step-by-step explanation:
- Add nine to each side, so it now looks like this: z = 36
Answer:
2 ( m + 2 m) = 36 is the required linear equation
Length of the rectangle is 12 ft and width = 6 ft
Step-by-step explanation:
Let the width of the rectangle = m ft.
So, the length of the rectangle = 2m ft.
Perimeter of rectangle = 36 ft
Now, PERIMETER OF THE RECTANGLE = 2(LENGTH + WIDTH)
⇒2 ( m + 2m) = 36
or, 2 x 3m = 36
⇒ 6m = 36 , or m = 36/6
⇒ m =6 ft
So, the Width of the rectangle; = m = 6 ft
and the Length of the rectangle = 2 m = 2 x 6 = 12 ft.
Answer:
Speed of the river = 
km per hour
Step-by-step explanation:
Speed of the boat in still water = 4 km per hour
Let the speed of the river = v km per hour
Speed of the boat upstream = (4 - v) km per hour
Time taken to cover 6 km = 
= 
hours
Speed of the boat downstream = (4 + v) km per hour
Time taken to cover 12 km = 
hours
Since, time taken by the boat in both the cases is same,
6(4 + v) = 12(4 - v)
24 + 6v = 48 - 12v
12v + 6v = 48 - 24
18v = 24
v = 
v = km per hour
Answer:
6.
Step-by-step explanation:
1) OA=d/2=20/2=10;
2) AB=AC/2=16/2=8;
Answer: x = 40 and y = 40
Step-by-step explanation:
We can write the equation for the area as: x*y = 1600
We can write the equation for the perimeter as: 2x + 2y = 160
An easy way to solve a question like this is to graph both equations on a graphing calculator, if you don't have one on you you can use Desmos
Graph both: y = 1600/x
and
y = 80 - x
Turns out you get x = 40 and y = 40
