Answer:
200 ducks total in the pond
Step-by-step explanation:
2% of x equals 4
0.02x = 4
x = 200
Answer:
95°
Step-by-step explanation:
Angle 1 and 4 are opposite angles, thus equal, so:
3x+10 = 4x-15 =>
x = 25
Angle 1 and 4 are 85°
Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.
Angle 6 and 7 are again opposite, so angle 7 is 95° as well!
Slope=rise/run or changeiny/changeinx or (y2-y1)/(x2-x1) or (y1-y2)/(x1-x2)
so
pick any 2 points
(x,y)
(0,17) and (1,23)
slope=(y2-y1)/(x2-x1)
so
(23-17)/(1-0)=6/1=6
slope is 6
Answer:
3.71 cm
Step-by-step explanation:
Hi there!
Area of a circle equation: 
where r is the radius
Plug in the area 43.25 cm²
Divide both sides by π to isolate r²
Take the square root of both sides to isolate r
Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.
I hope this helps!
I will give in y=mx+b and ax+by=c form
using point slope form
y-y1=m(x-x1)
where the slope is m and a point on that line is (x1,y1)
slope between 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x1-x1)
given
(6,-3) and (-4,-9)
slope=(-9-(-3))/(-4-6)=(-9+3)/(-10)=-6/-10=3/5
a point is (6,-3)
y-(-3)=3/5(x-6)
y+3=3/5(x-6)
y+3=3/5x-18/5
y=3/5x-33/5
-3/5x+y=-33/5
3x-5y=33
equation is
y=3/5x-33 or
3x-5y=33 or
y+3=3/5(x-6) or
y+9=3/5(x+4)
