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2 years ago

A possible graph transformation f(kx) when 0 < k < 1 is?

Mathematics

1 answer:

Nitella [24]2 years ago

7 0

Answer:

rgvrgvtgbrgvrgbthrfvrgvrhgbthgrvgvrgvthbtrfvrgvrgvhtbvrgvrgvhbt

Step-by-step explanation:

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If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle?

kondaur [170]

Equation of the circle is $(x+6)^{2}+(y+10)^{2}=20$ .

Solution:

The endpoints of the diameter of a circle are (–8, –6) and (–4, –14).

Center of the circle = Mid point of the diameter

Mid point formula:

$$P(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, $x_1=-8, y_1=-6, x_2=-4, y_2=-14$

$$P(x, y) =\left(\frac{-8-4}{2}, \frac{-6-14}{2}\right)$

$$P(x, y) =\left(\frac{-12}{2}, \frac{-20}{2}\right)$

$$P(x, y) =(-6, -10)$

Center of the circle = (–6, –10)

Radius is the distance between center and any endpoint of the diameter.

To calculate the radius using distance formula.

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

Here, $x_1=-6, y_1=-10, x_2=-8, y_2=-6$

$r=\sqrt{\left(-8-(-6)\right)^{2}+\left(-6-(-10)}\right)^{2}}$

$r=\sqrt{(-8+6)^{2}+(-6+10)^{2}}$

$r=\sqrt{(-2)^{2}+(4)^{2}}$

$r=\sqrt{20}$ units

The standard form of the equation of a circle is

$(x-a)^{2}+(y-b)^{2}=r^{2}$ , where (a, b) are center and r is the radius.

Here, center = (–6, –10) and $r=\sqrt{20}$

$(x-(-6))^{2}+(y-(-10))^{2}={(\sqrt{20})} ^{2}$

$(x+6)^{2}+(y+10)^{2}=20$

Equation of the circle is $(x+6)^{2}+(y+10)^{2}=20$ .

4 0

3 years ago

Write the equation of the line with the given slope and the given point.<br><br> y = ?

Naddika [18.5K]

Answer:

y=x+8

Step-by-step explanation:

y=x+b

That is the equation with only the slope, however, we can use the point (-4,4) to find the y-intercept

4=-4+b

Add 4 both sides:

8=b

Thus the equation is y=x+8

Hope this helps!

3 0

2 years ago

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How did the movement of sunspots on the surface of the sun affect peoples' beliefs about astronomy at the time?

lbvjy [14]

Answer:

is this science?

Step-by-step explanation:

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2 years ago

A student reads 3/5 of a book in 30 minutes how much of the book will be read if the student reads at the same speed for 40 minu

erastova [34]

Answer:

4/5 of the book in 40 mins

7 0

2 years ago

What is this?<br><br> :) Help Plz!!!

Eduardwww [97]

Im 70% sure its blue x=1,x=-5/2

Hope i helped if did plz mark as brainliest^-^

3 0

3 years ago