We determine line m as follows:
*First, by theorem we have the following:

Here m1 & m2 are the slopes of two perpendicular lines. For all lines that are perpendicular that is true, so we calculate the slope of line m using the slope of the function given [Which has a slope of 7/4]:

So, the slope of line m is -4/7. Now, using this slope and the point (-1, 4) we replace in the following expression:

Here x1, y1 & m1 are the x-component of the point, the y-component of the point, and the slope of the line respectively, so we replace and solve for y:


And that last function of y is the line m.
To convert cm³ to m³, you can break down the units.
cm³ = cm x cm x cm
Each cm is converted to m so :
m³ = m x m x m
= 1/100 x 1/100 x 1/100
= 0.000001
So, 1cm³ is 0.000001m³, so to convert cm³ to m³ you divide your value by 1,000,000 and vice versa.
1. 0.35m³
2. 8m³
3. 43.34m³
4. 30m³
5. 0.77m³
For this, we need to find the area of the larger rectangle (The room) and subtract from that the area of the smaller, shaded rectangle (The rug).
A=LW (L=Length, W=Width, A=Area)
The larger rectangle first:
A=(15)(10)
A=150 feet squared
Now the Rug:
A=(12)(7)
A=84 feet squared
Now to find the area that is NOT covered by the rug, we subtract:
150-84
= 66 feet squared will NOT be covered by the rug.
Hope this Helps!
-Sinnamin
Answer:
5 squares will be painted black.
Step-by-step explanation:
There are 9 squares, and 4 of them will be painted white, so that means that the remaining squares will be painted black. 9-4=5, so 5 squares will be painted black.
Hope this helped! :)