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3 years ago

What is the standard equation for a circle with the center (2,1) and passing through (0, 1)

2 answers:

Volgvan3 years ago

4 0

The radius is the distance from the center to any point. The distance from (2,1) to (0,1) is of course 2. The general formula for a circle with radius r and center (a,b) is

$(x-a)^2 + (y-b)^2 = r^2$

In our case we get

$(x-2)^2 + (y-1)^2 = 4$

BigorU [14]3 years ago

3 0

So this is what I got (x-2)^2+(y-1)^2=4

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What is the slope of the line represented by the equation y = 1/5x-3?

Romashka-Z-Leto [24]

Answer:

1/5

Step-by-step explanation:

Your equation is written in the form y=mx+b, where m is the slope and b is the y-intercept.

m=1/5, so the slope is 1/5

7 0

3 years ago

Write the equation in point-slope form of the line that passes through (1, 4) and has a slope of 4/3

suter [353]

Answer:

y - 4 = (4/3)(x - 1)

Step-by-step explanation:

point slope form is

y - y1 = m(x - x1)

m is the slope

(x1, y1) is a point on the line

----------------------------

for m = 4/3 and (x1, y1) = (1, 4)

y - 4 = (4/3)(x - 1)

6 0

3 years ago

Find the distance traveled by a particle with position (x, y as t varies in the given time interval. x = 3?sin2 t, y = 3?cos2 t,

ANTONII [103]

Assuming the particle's position is given by

$\begin{cases}x(t)=3-\sin2t\\y(t)=3-\cos2t\\0\le t\le4\end{cases}$

then the distance traveled over the interval is

$\displaystyle\int_{t=0}^{t=4}\sqrt{\left(\dfrac{\mathrm dx(t)}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy(t)}{\mathrm dt}\right)^2}\,\mathrm dt$
$=\displaystyle\int_0^4\sqrt{(-2\cos2t)^2+(2\sin2t)^2}\,\mathrm dt$
$=\displaystyle\int_0^4\sqrt{4\cos^22t+4\sin^22t}\,\mathrm dt$
$=\displaystyle2\int_0^4\mathrm dt$
$=2(4-0)=8$

5 0

3 years ago

In the scale used on a blueprint, 14 inch represents 3 feet. On the blueprint, what is the length of a room with an actual lengt

VashaNatasha [74]

Answer: 2in

Step-by-step explanation:

Hi, to answer this question we have to apply proportions:

The correct scale on the blueprint is : 1/4 inch represents 3 feet.

So, the proportion is: 1/4 inch/ 3 feet = (1/4) /3

For 24 feet:

x inches /24 feet = x/24

So:

(1/4)/3 = x/24

Solving for x (inches)

[(1/4)/3 ] (24) =x

x =2 inches

Feel free to ask for more if needed or if you did not understand something.

8 0

3 years ago

2x-y=0; y=x-2<br><br> Substitution

Contact [7]

Answer:

x=-2, y=-4. (-2, -4).

Step-by-step explanation:

2x-y=0

y=x-2

------------

2x-(x-2)=0

2x-x+2=0

x+2=0

x=0-2

x=-2

y=-2-2=-4

7 0

3 years ago

Read 2 more answers