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3 years ago

What is the equation of a circle with a center of (-2, -1) and radius of √2?

Mathematics

2 answers:

sasho [114]3 years ago

8 0

Answer: Answer is 2 can I get brainliest pls

Step-by-step explanation: Have a good one

lesantik [10]3 years ago

3 0

Answer:

(x + 2)² + (y + 1)² = 2

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

Here (h, k) = (- 2, - 1) and r = $\sqrt{2}$ , thus

(x - (- 2))² + (y - (- 1))² = ( $\sqrt{2}$ )², that is

(x + 2)² + (y + 1)² = 2 ← equation of circle

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An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh

natima [27]

Answer:

Speed of the plane in still air: $779\; {\rm km \cdot h^{-1}}$ .

Windspeed: $100\; {\rm km \cdot h^{-1}}$ .

Step-by-step explanation:

Assume that $x\; {\rm km \cdot h^{-1}}$ is the speed of the plane in still air, and that $y\; {\rm km \cdot h^{-1}}$ is the speed of the wind.

When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be $(x - y)\; {\rm km \cdot h^{-1}}$ .
When this plane is travelling in the same direction as the wind, the ground speed of this plane would be $(x + y)\; {\rm km \cdot h^{-1}}$ .

The question states that when going against the wind ( $v = (x - y)\; {\rm km \cdot h^{-1}}$ ,) the plane travels $6111\; {\rm km}$ in $9\; {\rm h}$ . Hence, $9\, (x - y) = 6111$ .

Similarly, since the plane travels $7911\; {\rm km}$ in $9\; {\rm h}$ when travelling in the same direction as the wind ( $v = (x + y)\; {\rm km \cdot h^{-1}}$ ,) $9\, (x + y) = 7911$ .

Add the two equations to eliminate $y$ . Subtract the second equation from the first to eliminate $x$ . Solve this system of equations for $x$ and $y$ : $x = 779$ and $y = 100$ .

Hence, the speed of this plane in still air would be $779\; {\rm km \cdot h^{-1}}$ , whereas the speed of the wind would be $100\; {\rm km \cdot h^{-1}}$ .

3 0

1 year ago

The y-intercept of the line whose equation is 7x - 4y = 8 is what

Anni [7]

The y intercept is when x is 0. So, we have to plug in 0 for x. You can do this in many different ways as well.
7(0)-4y=8
-4y=8
Divide both sides by -4.
Y=-2
So, the Y intercept is -2 (0,-2).

6 0

2 years ago

the population in Anna's town was 2,600 last year , this year , the population is 12% greater. what is the population on Anns to

TiliK225 [7]

2912 is the population . when 12% is increase of the Ann's population

5 0

3 years ago

Read 2 more answers

Gustavo's bicycle cost $171.18 after a sales tax of 8%. write and solve an equation to find the price of the bike before the sal

Kryger [21]

Let x = price of the bike before a sales tax.

The price after a sales tax of 8% is
x + 0.08x = 1.08x dollars

Because the price paid was $171.18, therefore
1.08x = 171.18
x = 171.18/1.08 = $158.50

Answer: 158.50

3 0

3 years ago

2/3 is what percent of 1/4?

saveliy_v [14]

So if we take 1/4 to be the 100%, what is 2/3 in percentage off of it then?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{1}{4}&100\\\\
\frac{2}{3}&p
\end{array}\implies \cfrac{\frac{1}{4}}{\frac{2}{3}}=\cfrac{100}{p}\implies \cfrac{1}{4}\cdot \cfrac{3}{2}=\cfrac{100}{p}\implies \cfrac{3}{8}=\cfrac{100}{p}
\\\\\\
p=\cfrac{8\cdot 100}{3}\implies p=\cfrac{800}{3}\implies p=266\frac{2}{3}\implies p\approx 266.\overline{66}$

yes, is a large value, because 2/3 is indeed larger than 1/4, more than twice as large.

8 0

3 years ago