Answer:
18.85 inches³
Step-by-step explanation:
Given:
Height of the cylindrical glass, h = 8 inches
Diameter of the cylindrical glass = 2 inches
or
Radius of the cylindrical glass, r = 1 inches
Now,
the volume of the cylindrical glass = πr²h
or
the volume of the cylindrical glass = π × 1² × 8 = 8π inches³
therefore, the volume of tea in the cylindrical glass = 8π inches³
Now,
Lily drinks only 3/4 of her tea
therefore,
the volume of tea Lily drunk =
or
the volume of tea Lily drunk = 18.85 inches³
Answer:
The correct option is C). (9,4)
The coordinates of a point N is (9,4)
Step-by-step explanation:
Theory: If point P(x,y) lies on line segment AB and AP: PB=m:n, then we say P divides line AB internally in ratio of m:n and Point is given by
P=
Given that point, M is lying somewhere between point L and point N.
The coordinates of a point L is (-6,14)
The coordinates of a point M is (-3,12)
Also, LM: MN = 1:4
We can write as,
Let,
Point L(-6,14)=(X1, Y1)
Point M(-3,12)=(x,y)
Point N is (X2, Y2)
m=1 and n=4
M(-3,12)=
M(-3,12)=
M(-3,12)=
(-15)=X2-24
X2=9
(60)=Y2+56
Y2=4
Thus,
The coordinates of a point N is (9,4)
Result: The correct option is C). (9,4)
I can’t really do long division on a phone so, extended techniques are required.
(x^3 - 2x^2 + 6x + 3)/(x-3)
= (x^3 - 3x^2 + (x^2 - 6x + 9)+ 12x - 6)/(x-3)
= (x^2(x-3) + (x-3)^2 + 6(2x - 1))/x-3
= x^2 + x - 3 + 6(2x - 1)/(x-3)
or
= x^2 + x - 3 remainder 12x - 6
or, in the form p(x) = q(x)d(x) + r(x):
(x^3 - 2x^2 + 6x + 3) = (x^2 + x - 3)(x - 3) + (12x - 6)
which implies that the quotient q(x) = (x^2 + x - 3) and remainder r(x) = 12x - 6
The equation for slope is:
(y2 - y1) / (x2 - x1)
-2 -(-7) = 5
-9 -(-1) = -8
Slope of the line:
5/-8 or -5/8