Answer:
The length of the edge of the cube = 4 inches
Step-by-step explanation:
* Lets describe the cube
- It has 6 faces all of them are squares
- It has 8 vertices
- It has 12 equal edges
∵ The volume of any formal solid = area of the base × height
∵ The base of the cube is a square
∴ Area base = L × L = L² ⇒ L is the length of the edge of it
∵ All edges are equal in length
∴ Its height = L
∴ The volume of the cube = L² × L = L³
* Now we have the volume and we want to find the
length of the edges
∵ Its volume = 64 inches³
∴ 64 = L³
* Take cube root to the both sides
∴ ∛64 = ∛(L³)
∴ L = 4 inches
* The length of the edge of the cube = 4 inches
change in y/change in x
y2-y1/x2-x1
-1--5/0-2
-1+5/-2
4/-2
-2
slope is -2
now take one ordered pair and plug it into the equation (for this example i will use the SECOND ordered pair
y = -2x +b
-1 = -2(0)+b
-1 = b
the equation is
<h2>
y = -2x - 1</h2>
Answer:
y = 4/5x + 2
Step-by-step explanation:
Standard equation given slope and y-intercept -> y = mx + b
After substituting variables m and b, you get y = 4/5x + 2.
