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2 years ago

A circle is centered at the point (5, -4) and passes through the point (-3, 2).

Mathematics

1 answer:

Dafna11 [192]2 years ago

7 0

The equation of a circle with center (h, k) and radius r is
.. (x -h)^2 +(y -k)^2 = r^2
Filling in the given information, you have
.. (-3-5)^2 +(2-(-4))^2 = r^2
.. 64 +36 = r^2 = 100

The equation of the circle is then
.. (x -5)^2 +(y +4)^2 =100

Your blanks are filled with (-5), (4), (100).

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CAN SOMEONE PLEASE ANSWER THIS SOON! THANK YOU!

lyudmila [28]

We want to find one-half of the reciprocal of 7/sqrt(98). Let's write down an expression for this:

$\dfrac{1}{2} \times \dfrac{\sqrt{98}}{7}$

We can rewrite 98 into $2 \times 49$

$\dfrac{1}{2} \times \dfrac{\sqrt{2 \times 49}}{7}$

$=\dfrac{1}{2} \times \dfrac{\sqrt{2} \times \sqrt{49}}{7}$

The square root of 49 is 7

$=\dfrac{1}{2} \times \dfrac{\sqrt{2} \times 7}{7}$

$=\dfrac{1}{2} \times\sqrt{2}$

$=\dfrac{\sqrt{2}}{2}$

This should be your answer. Let me know if you need any clarifications, thanks!

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2 years ago

Read 2 more answers

Please help me!

Temka [501]

7. Answer is D! 1 to the 3rd power, 1^3, or 1 cubed as you'll hear it, is 1 because when something is cubed that means it's times itself 3 times. (EX: 4^3 = 4x4x4) 2 cubed is 8. 3 cubed is 27. 4 cubed is 64 and 5 cubed is 125!

8. Answer is C! A is gaining speed and B is the capped speed, meaning it can't get any higher, and C is the loss of speed.

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2 years ago

If f(x) = 4(3x - 5), find f-1(x)

deff fn [24]

Answer:

$f^{-1}(x) = \frac{1}{12}(x+20)$

Step-by-step explanation:

Given: f(x) = 4(3x - 5)

Is required to find f⁻¹(x)

f(x) = y = 4(3x - 5)

∴ y = 4 * 3x - 4 * 5

∴ y = 12x - 20 ⇒ add 20 to both sides

∴ y + 20 = 12x ⇒ divide both sides by 12

∴ $\frac{1}{12} (y+20) = x$

Replace the places of x and y.

∴ $y=\frac{1}{12} (x+20)$

∴ $f^{-1}(x) = \frac{1}{12}(x+20)$

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2 years ago

What is the y-coordinate of the solution for the system of equations? x−y=−11 y+7=−2x

ICE Princess25 [194]

Answer:

$y= 5$

Step-by-step explanation:

Given the system of equations:

$x-y=-11$

$y+7=-2x$

In order to find the y coordinate of the solution we must first find the solution to this system of equations. We first start by solving one of the given equations and then substitute the answer of that into the second equation and further solve to get the final answers.

$x=y=-11$