All categories

3 years ago

PLZ HELP ASAP Geometry help: 2x^2 + 2y^2 - 8x +10y +2=0

1 answer:

6 0

Ok so this is conic sectuion
first group x's with x's and y's with y's
then complete the squra with x's and y's

2x^2-8x+2y^2+10y+2=0
2(x^2-4x)+2(y^2+5y)+2=0
take 1/2 of linear coeficient and square
-4/2=-2, (-2)^2=4
5/2=2.5, 2.5^2=6.25
add that and negative inside

2(x^2-4x+4-4)+2(y^2+5y+6.25-6.25)+2=0
factor perfect squares
2((x-2)^2-4)+2((y+2.5)^2-6.25)+2=0
distribute
2(x-2)^2-8+2(y+2.5)^2-12.5+2=0
2(x-2)^2+2(y+2.5)^2-18.5=0
add 18.5 both sides
2(x-2)^2+2(y+2.5)^2=18.5
divide both sides by 2
(x-2)^2+(y+2.5)^2=9.25

that is a circle center (2,-2.5) with radius √9.25

You might be interested in

g Gravel is being dumped from a conveyor belt at a rate of 10 ft3/min, and its coarseness is such that it forms a pile in the sh

Maslowich

Answer:

0.3537 feet per minute.

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 10 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

$\dfrac{dV}{dt}=10$ ft^3/min$

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

If the Base Diameter = Height of the Cone

The 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: $\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=10$

We want to determine how fast is the height of the pile is increasing when the pile is 6 feet high.

$When h=6$ feet$\\\dfrac{3\pi *6^2}{12}\dfrac{dh}{dt}=10\\9\pi \dfrac{dh}{dt}=10\\ \dfrac{dh}{dt}= \dfrac{10}{9\pi}\\ \dfrac{dh}{dt}=0.3537$ feet per minute$

When the pile is 6 feet high, the height of the pile is increasing at a rate of 0.3537 feet per minute.

7 0

4 years ago

Line l in the xy-plane is perpendicular to the line

jeka57 [31]

The line x = 2 is perpendicular to the x-axis.
That is to say it is vertical and it’s slope is undefined.

Line l must be horizontal so it has a slope of 0

6 0

3 years ago

Help! Pls :(((((((((((

Law Incorporation [45]

The answer is 22 because you replace the x with 5 and do 5x 5 - 3

4 0

3 years ago

a newspaper has 80 Pages if 20 of the 80 pages are devoted to advertising what percent of the newspaper is advertising

forsale [732]

20/80=1/4
1/4=0.25
0.25*100=25

25% of the pages are devoted to ads.

Hope this helps!
Your fortune is "When frustrated, sing/scream the alphabet inside a public bathroom."

8 0

3 years ago

WILL MARK BRAINLIEST!! PLEASE HELP!!

Sladkaya [172]

Answer: 12.1 years

Step-by-step explanation:

youd find 2.2% of 3000 which is 66 and then divide 800 by 66 to see how many years it would take to make 800 interest and you get 12.1 years. 90% sure on that answer btw

5 0

3 years ago