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4 years ago

Identify the vertex of the Parabola Please help!!

Mathematics

2 answers:

adell [148]4 years ago

8 0

1,0 should be the correct answer

wlad13 [49]4 years ago

5 0

1,0 should be the vertex for this parabola

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Find the equation of a circle that has a diameter with the endpoints given by the points A(-4,9) and B (- 2, - 3) )

Aleksandr-060686 [28]

The equation of the circle is $(x+3)^{2}+(y-3)^{2}=37$

Explanation:

Given that the endpoints of the circle are A(-4,9) and B(-2,-3)

We need to determine the equation of the circle.

Center:

The center of the circle can be determined using the midpoint formula,

$Center=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Substituting the coordinates A(-4,9) and B(-2,-3), we get,

$Center=(\frac{-4-2}{2},\frac{9-3}{2})$

$Center=(\frac{-6}{2},\frac{6}{2})$

$Center=(-3,3)$

Thus, the center of the circle is (-3,3)

Radius:

The radius of the circle can be determined using the distance formula,

$r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Substituting the center (-3,3) and the endpoint (-4,9), we get,

$r=\sqrt{\left(-4+3\right)^{2}+\left(9-3\right)^{2}}$

$r=\sqrt{\left(-1\right)^{2}+\left(6\right)^{2}}$

$r=\sqrt{1+36}$

$r=\sqrt{37}$

Thus, the radius of the circle is $\sqrt{37}$

Equation of the circle:

The standard form of the equation of the circle is given by

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

where (a,b) is the center and r is the radius.

Substituting the values, we have,

$(x+3)^{2}+(y-3)^{2}=(\sqrt{37})^{2}$

$(x+3)^{2}+(y-3)^{2}=37$

Thus, the equation of the circle is $(x+3)^{2}+(y-3)^{2}=37$

7 0

3 years ago

If you see these clouds in the sky, which type of weather might you expect?

UNO [17]

The answer to your question is thunderstorms.
The picture is filled with a lot of dark clouds, in which there will be a probability for thunderstorms to occur. We all know that when there is lightning, thunder will occur after it. With the photo given, there will be the probability of thunderstorm with heavy rain.

6 0

3 years ago

Convert 3684 to standard form

klio [65]

It’s already in standard form

3 0

3 years ago

Read 2 more answers

Drag each tile to the correct box. Amanda, Derrick, and Todd attend the same high school. Each student works as the cashier one

wel

Answer:

Amanda > Todd > Derrick

Step-by-step explanation:

Amanda's IQR- 3.5

Derrick's IQR- 2

Todd's IQR- 3

4 0

3 years ago

Please help me with this circle I am confused

Zielflug [23.3K]

Answer:

34.54 in (Answer C)

Step-by-step explanation:

The formula for the circumference of a circle whose radius is known is

C = 2πr.

Here, r = 5.5 and π ≈ 3.14, and so the circumference of the circle is

C = 2(3.14)(5.5 in) = 34.54 in (Answer C)

6 0

3 years ago