The midpoint of the points ( 4, 5.5 ) and ( 4, 10.5 ) is the center of the circle:
C =

C = ( 4, 8 ), h=4, k=8
r =

r = 2.5
The equation of the circle in standard form:
( x - h )² + ( y - k )² = r²
( x - 4 )² + ( y - 8 ) = 6.25
Answer:
122.7792 sq. m
Step-by-step explanation:
diameter= 8.4 m
therefore, radius = r = 4.2 m.......( as radius is 1/2 of diameter)
height = h= 12 m
only the exterior is to painted so the total surface area of the cylinder is taken,
total surface area of cylinder = 2π r( h+r)
=2* 3.14* 4.2*(12+4.2)
=122.7792 sq. m
The y-term is -2y. We know this is the y-term because it is a multiple of the variable y and is not multiplied with any other variables.
A coefficient is a number that a variable is multiplied by. When there is a number followed by a variable, the number is the coefficient.
In this case, the coefficient of the y-term is -2. The coefficient is negative because 2y is being subtracted, meaning the 2 is negative rather than positive.
Hope this helps!
5x³ + 8x² - 7x - 6
1)
x + 2 is a factor because when using synthetic division, the remainder is zero.
-2 | 5 8 -7 -6
<u>| ↓ -10 4 6 </u>
5 -2 -3 0 ← remainder is zero
2)
x + 2 is not a factor because when using synthetic division, the remainder is not zero.
-1 | 5 8 -7 -6
<u>| ↓ -5 -3 10 </u>
5 3 -10 4 ← remainder is not zero