Indentify an equation in point-slope for the line perpendicular to y=3x+5

y=3x+5 has slope = 3

perpendicular lines, slope is opposite and reciprocals so slope of new line = -1/3

passing thru (4,-1)

so equation

y + 1 = -1/3(x - 4)

Answer is B

y + 1 = -1/3(x - 4)

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

-14

step-by-step explanation:

2x2 – 2(x+4)

=2x2-2（5+4）

=4-2×9

=4-18

=-14