Answer:
You will have 14 gallons of paint left over.
Step-by-step explanation:
If you divide a mural into 6 sections, and paint each section with 3 gallons of paint per section, that means you are using 3 gallons of paint 6 times.
3 x 6 = `18
Therefore, you will be using 18 gallons of paint for the mural, and when you subtract 18 gallons from the original 32 gallons of paint, you get 14 gallons left over.
Answer:
The flag of Switzerland is square.
Step-by-step explanation:
Only Switzerland has a flag that is square.
The measurements can be anything convenient. The aspect ratio (height to width) is 1 : 1.
When the flag is displayed next to a rectangular flag, it should have the same area as the rectangular flag. (This will mean the Swiss flag side length is the geometric mean of the rectangular flag dimensions.)
_____
Sometimes, the measurements of the flag are chosen to go with the height of the flagpole. The US flag is customarily displayed on a pole 3-4 times as long as the flag is long. That is, the diagonal of the flag is about 0.28 to 0.38 times the pole height.* I could not find comparable information about the Swiss flag.
____
* The diagonal is of interest when the flag is hanging down along the pole, not flying in the wind.
Answer:
and 
Step-by-step explanation:
The equation of curve is
We need to find the equation of the tangent line to the curve at the point (-3, 1).
Differentiate with respect to x.
![2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})](https://tex.z-dn.net/?f=2%5B2%28x%5E2%2By%5E2%29%5Cfrac%7Bd%7D%7Bdx%7D%28x%5E2%2By%5E2%29%5D%3D25%282x-2y%5Cfrac%7Bdy%7D%7Bdx%7D%29)
The point of tangency is (-3,1). It means the slope of tangent is 
.
Substitute x=-3 and y=1 in the above equation.
Divide both sides by 130.
If a line passes through a points 
with slope m, then the point slope form of the line is
The slope of tangent line is 
and it passes through the point (-3,1). So, the equation of tangent is
Add 1 on both sides.
Therefore, and .
It would be:
Tens | Ones
3 + 4
2 + 14
1 + 24
0 + 34
Hope this helped! c:
