Put the following equation of a line into slope-intercept form, simplifying all

Mathematics

1 answer:

Nataly [62]3 years ago

8 0

Hi there! My Name is Alex! The Answer to your question is listed Below Hope this helps!

Answer:

$y=-\frac{1}{6} x+3\\$

How to Solve For Slope Intercept Form...

The equation for slope-intercept form is: y=mx+b In this form, m is the slope of the line and the b is the y-intercept.

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The area of a circular sun spot is growing at a rate of 1,200 km2/s.

Tpy6a [65]

A)

$\bf \textit{area of a circle}\\\\
A=\pi r^2
\\\\\\
\cfrac{dA}{dt}=\pi \cdot 2r\cfrac{dr}{dt}\implies \cfrac{dA}{dt}=2\pi r\cfrac{dr}{dt}\implies \cfrac{\frac{dA}{dt}}{2\pi r}=\cfrac{dr}{dt}\\\\
-----------------------------\\\\
\left. \cfrac{dr}{dt} \right|_{r=3000}\implies \cfrac{1200}{2\pi \cdot 3000}=\cfrac{dr}{dt}\\\\$

B)

$\bf A=\pi r^2\qquad A=490000\implies 490000=\pi r^2\implies \sqrt{\cfrac{490000}{\pi }}=r
\\\\\\
\left. \cfrac{dr}{dt} \right|_{r=\sqrt{\frac{490000}{\pi }}}\implies \cfrac{1200}{2\pi \cdot \sqrt{\frac{490000}{\pi }}}=\cfrac{dr}{dt}
$

8 0

3 years ago

Find the volume please and Katie, why are you deleting my questions?

Rina8888 [55]

Volume of the prism = 75 cubic feet

Solution:

The image given is a rectangular prism (or) a cuboid.

Area of base = l × b = 25 square feet

Height of the prism = 3 feet

Volume of the prism = l × b × h

= (l × b) × h

= 25 × 3