Step-by-step explanation:
x² + 2x - 63 = 0
(x+9)(x-7)=0
x=-9 x=7
The formula for the Circumference of a circle is 2•Pi•R, or 2•Radius•3.14
This is to calculate the measurements around the circle.
The formula for the Area of a circle is Pi•R^2, or 3.14•R•R
This is to calculate the entire circle.
I hope this helps!
Answer:
Options (1) and (5)
Step-by-step explanation:
Expression that defines the function is,

Option 1





So,
is false.
Option 2
f(0) = 
= 
True.
Option 3
f(1) = 
= 
= 2
Therefore, f(1) = -1 is false.
Option 4



Therefore, f(2) = 1 is false.
Option 5
f(4)



True.
Options (1) and (5) are the correct options.
57 minute will take to fill the tank.
Solution:
Height of the cylinder = 6 ft
Diameter of the cylinder = 6 ft
Radius of the cylinder = 6 ÷ 2 = 3 ft
Volume of the cylinder = πr²h
= 3.14 × 3² × 6
Volume of the cylinder = 169.56 cubic feet
Time taken to fill 3 cubic feet of water = 1 minute
Time taken to fill 169.56 cubic feet of water =
= 56.52 minute
= 57 minute
Hence 57 minute will take to fill the tank.
They are (0,6) because if the center of dilation is point A which means it does not change, while both other points increase their distance from point A by a factor of two (double)