What is 6x+3y=-15 in y-intercept form

Mathematics

2 answers:

iren2701 [21]3 years ago

8 0

Answer:

3y = -6x - 15

Step-by-step explanation:

To put 6x + 3y = -15 into Slope Intercept Form you need to know the formula (y = mx + b) so we know we need to get y on its own side so we can -6x from both side giving us 3y = -6x +-15 or 3y = -6x - 15 There are many different slope intercept forms for this equation depending on how you get y by its self!

aniked [119]3 years ago

8 0

Answer:

y=-5 or (0,-5)

Step-by-step explanation:

6x+3y=-15

formula; ax + by = c

slope=-a/b

6/3=2

x-intercept=c/a

x=-15/6

x=-2.5 or (-2.5,0)

y-intercept=c/b

y=-15/3

y=-5 or (0,-5)

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Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap

11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

$\dfrac{dV}{dt}=20$ ft^3/min$

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

$\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Therefore: $\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20$

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

$h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)$