Answer:
bigger number is 18
smaller number is 6
Step-by-step explanation:
let x be the bigger number and y the smaller
the sum of two numbers is the same as four times the smaller
x+y=4y
x=4y-y
x=3y--------i
if twice the larger is decreased by the smaller, the result is 30
2x-y=30----ii
substituting i for x in ii
2(3y)-y=30
6y-y=30
therefore
5y=30
y=30/5
y=6------iii
substituting iii for y in i to solve for x gives
x=3*6
=18
We will use vertex form of the parabola:
Where (h,k) is the vertex of our parabola. We know that focus and directrix are located at the same distance from the vertex. That distance is a.
We can use this to build a system of equations to calculate a and k. We already know that h=-5, keep in mind that focus and vertex share the same x coordinate.
We just add these two equations together:
We plug this back into the first equation:
That's all the information we need to write down the equation:
None of the answers you provided are correct.
We know that
Area circle=pi*r²--------------> r=√(A/pi)
case 1) 221.5584 square units area -------------> r=√(221.5584/pi)=8.398 units
Diameter=2r-----> 2*8.4=16.8 units
case 2) 78.5 square units area-------------> r=√(78.5/pi)=5 units
Diameter=2r-----> 2*5=10 units
case 3) 452.16 square units area -------------> r=√(452.16/pi)=12 units
Diameter=2r-----> 2*12=24 units
case 4) 36.2984 square units area -------------> r=√(36.2984/pi)=3.4 units
Diameter=2r-----> 2*3.4=6.8 units
case 5) 314 square units area -------------> r=√(314/pi)=10 units
Diameter=2r-----> 2*10=20 units
case 6) 886.2336 square units -------------> r=√(886.2336/pi)=16.8 units
Diameter=2r-----> 2*16.8=33.6 units
Answer:
Yes, 10 millimeters is the same as 1 centimeter.
Step-by-step explanation: