Answer:
y = -
x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (5, - 8)
m =
=
= - ![\frac{6}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B5%7D)
y = -
x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (5, - 8), then
- 8 = - 6 + c ⇒ c = - 8 + 6 = - 2
y = -
x - 2 ← is the equation of the line
(4,2) reflected over the y axis is (-4,2)
the volume of the composite figure is
. Correct option D) ![1.308.33 mm^3](https://tex.z-dn.net/?f=1.308.33%20mm%5E3)
<u>Step-by-step explanation:</u>
Here we have , The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. We need to find What is the volume of the composite figure . Let's find out:
We know that Volume of figure is :
⇒ Volume of cylinder + Volume of hemi-sphere
⇒ ![\pi r^2h + \frac{2}{3} \pi r^3](https://tex.z-dn.net/?f=%5Cpi%20r%5E2h%20%2B%20%20%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20r%5E3)
⇒ ![\pi r^2(h + \frac{2}{3}r)](https://tex.z-dn.net/?f=%5Cpi%20r%5E2%28h%20%2B%20%20%5Cfrac%7B2%7D%7B3%7Dr%29)
Putting values of h= 10 mm , r = 5 mm( Not given in question ! Searched in correct question )
⇒ ![\pi (5)^2(10 + \frac{2}{3}(5))](https://tex.z-dn.net/?f=%5Cpi%20%285%29%5E2%2810%20%2B%20%20%5Cfrac%7B2%7D%7B3%7D%285%29%29)
⇒ ![25(3.14)(10 + \frac{2}{3}(5))](https://tex.z-dn.net/?f=25%283.14%29%2810%20%2B%20%20%5Cfrac%7B2%7D%7B3%7D%285%29%29)
⇒ ![1.308.33 mm^3](https://tex.z-dn.net/?f=1.308.33%20mm%5E3)
Therefore , the volume of the composite figure is
. Correct option D) ![1.308.33 mm^3](https://tex.z-dn.net/?f=1.308.33%20mm%5E3)
If I'm right it's (D). I hope this helps.