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3 years ago

Which of the following functions is graphed above?

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

8 0

A is the answer because u have to shift up two units and move it right 8 units

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write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)

Elenna [48]

Given:

The endpoints of a diameter are (0,0) and (4,-6).

To find:

The equation of the circle.

Solution:

The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(-6-0)^2+(4-0)^2}$

$d=\sqrt{36+16}$

$d=\sqrt{52}$

$d=2\sqrt{13}$

Now, radius is half of the diameter.

$r=\dfrac{2\sqrt{13}}{2}$

$r=\sqrt{13}$

Center of the circle is the midpoint of the endpoints of a diameter.

$Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)$

$Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)$

$Center=\left(2,-3\right)$

Standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

where, (h,k) is center and r is radius.

The center of the circle is (2,-3) and radius is $\sqrt{13}$ . So,

$(x-2)^2+(y-(-3))^2=(\sqrt{13})^2$

$(x-2)^2+(y+3)^2=13$

Therefore, the standard form of the circle is $(x-2)^2+(y+3)^2=13$ .

5 0

2 years ago

Neeeeed help asapppppppp

zzz [600]

Object-1=27
Object-2=6

8 0

2 years ago

John buys 100 shares of stock at $100 per share. The price goes up by 10% and he sells 50 shares. Then, prices drop by 10% and h

Juliette [100K]

The profit that John got from the last 50 was $5000.

5 0

3 years ago

Phil has 3 times as many rocks as Peter. Together, they have 48 rocks. How many more rocks does Phil have than Peter?

andrezito [222]

$x-Peter's\ rocks\\3x-Phil's\ rocks\\\\x+3x=48\\4x=48\ \ \ \ \ \ |:4\\x=12\\3x=3\cdot12=36\\\\36-12=24\\\\Phil\ have\ 24\ more\ rocks\ than\ Peter.$

8 0

2 years ago

What is the interquartile range

motikmotik

Answer:

Step-by-step explanation:

Khan academy huh?

put the numbers in order from least to greatest.
find the median
find the difference between the median and all of the other numbers.

P.S. If you were looking for somebody to tell you the answer don't hold your breath.

8 0

3 years ago