The equation for the given line is y − 1 = 4(x + 3). Let us convert this equation in slope intercept form y= mx +b, where m is slope and b is the y-intercept. Thus, the slope of this line is 4.Now, we know that the slope of parallel lines are equal. Hence, the slope of the required line is same as the slope of the given line. Hence, the slope of the required line is m = 4It passes through the point (4,32).The point slope form of a line is given by Therefore the equation of the line is y = 4x+16,D is the correct option.

3 0

3 years ago

Answer choices 6 cubic units8 cubic units 10.6 cubic units 18 cubic units

antiseptic1488 [7]

Given,

Cylinder A has a volume of 6 cubic units

and height =3 units

The radius of cylinder A,

$\begin{gathered} r=\sqrt[]{\frac{V}{\pi h}} \\ =\sqrt[]{\frac{6}{3\pi}} \\ =0.8 \end{gathered}$

To find the volume of a cylinder B

$\begin{gathered} V=\pi r^2h \\ =(3.14)\times(0.8)^2\times(3) \\ =6.03 \end{gathered}$

Thus the volume of cylinder B is 6.03

7 0

9 months ago