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kirill115 [55]
3 years ago
5

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

<em>Answer:</em>

<em></em>

<em>Step-by-step explanation:</em>

<em>Khan academy huh?</em>

  • <em>put the numbers in order from least to greatest.</em>
  • <em>find the median</em>
  • <em>find the difference between the median and all of the other numbers.</em>

<em></em>

<em></em>

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

8 0
3 years ago
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