$(\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\ \qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{3}(x-\stackrel{x_1}{(-3)})\implies y-1=3(x+3)$

7 0

3 years ago

HELP ME THIS THE LAST ONE AND THEN I AM DONE PLS HELP BTW I COULDN’T TAP ON THE LINK THAT U GAVE ME I FORGOT UR NAME

Iteru [2.4K]

Answer:

$\Huge\boxed{V=550}$

Step-by-step explanation:

Hello There!

For this problem we want to split the irregular 3d figure into two regular 3d figures

Two rectangular prisms with the following dimensions

rectangular prism 1

length - 5 feet

width - 12 feet

height - 5 feet

rectangular prism 2

length - 5 feet

width - 5 feet

height - 10 feet (was found by subtract height of rectangular prism 1 (5 feet) from the total height of the irregular figure (15-5=10 so the height of rectangular prism 2 is 10 feet)

Now to find the volume of each individual prism...

So remember the formula for volume of a rectangular prism is

volume = length x width x height

so having the dimensions of each rectangular prism we plug in each value to the formula ( remember we're doing this for each individual rectangular prism)

For rectangular prism 1

V = 12 x 5 x 5

12x5x5=300 so the volume of rectangular prism is 300 cubic feet

For rectangular prism 2

V = 10 x 5 x 5

10x5x5=250 so the volume of rectangular prism is 250 cubic feet

our final step is to add the two volumes together

250 + 300 = 550

so we can conclude that the volume of the rooftop is 550

3 0

3 years ago