Step-by-step explanation:
y=x(x+3)-1(x+3)
y= x^2+3x-x-3
y=x^2+2x-3
that is the answer
Answer:
Step-by-step explanation:
eq. of circle with center (h,k) and radius=r is
(x-h)²+(y-k)²=r²
reqd. eq. is
(x-2)²+(y+5)²=9²
Answer: 0.44mm
Step-by-step explanation:
In this problem we are asked for the height of a single playing chip. We know the volume of a cylinder is 25120 mm^3.
V=πr²h
25120=πr²h
The problem also gives the diameter of the case: 40mm.
To find radius, you divide the diameter in half.
d=2r
40=2r
r=20
With the radius, we can add that to the volume equation.
25120=(20)^2h
25120=400πh
All we have left is to find the height.
h=25120/(400π)
h≈20mm
Now that we know the height, we can find the height of a single chip. The problem states about 50 chips can fit in a case. To find the height of a single chip, you would divide 20 by 50.
20mm/50 chips=0.4mm/chip.
The chance of a 6th grader dressing up is 74% 10+28=38 and 28/38=0.736