Answer:
6
Step-by-step explanation:
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation
.
If a line has the slope of -0.5, then m=-0.5 and the equation of the line is

This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:

and the equation of the line is

Since b=6, the y-intercept of the line is 6.
Area of a circle = πr^2
Area of a sector with angle x° = (x/360) πr^2
For the smaller sector,
x = 30°
r = 6 in
Required area of sector = (30/360) × π × 6^2 = 9.424 in^2
To the nearest hundreth, Area = 9.42 in^2
So percent means parts out of 100 so 75%=75/100=3/4
3/4 of 30
'of' means multiply
3/4 times 30=90/4=45/2=22.5
22.5 is the answer (or 22 and 1/2)
2y=-8
We need to clear "y" with inverse operations.
y= -8/2 if 2 was multiplying now is dividing
y= -4
(1/3x+3)=5-x
multiply both sides by three
1x+9=15-3x
add 3x to both sides
4x+9=15
subtract 9 from both sides
4x=3
divide both sides by 4 to isolate x
x=3/4