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777dan777 [17]
2 years ago
10

50 points!!!

Mathematics
1 answer:
fenix001 [56]2 years ago
6 0

Answer: A

Step-by-step explanation: once you line the numbers up in order from least the greatest, the two middle numbers will be 12. Add 12 + 12 and you get 24. Then divide it by 2 and get 12. That is your median. Your 1st quartile will be 10. Your second quartile will be 15. Your minimum number is 4 and your maximum number is 18.

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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
-20 + 4x = -6x<br> x = 5<br> x = -5<br> x = 2<br> x = -2
Cerrena [4.2K]

Answer:

x=2

Step-by-step explanation:

Hint use m a t h w a y. Its a algebra problem solver.

4 0
2 years ago
Read 2 more answers
Which is an equation of the line perpendicular to y = -3/4x + 1 and passes through (3, 4)?
topjm [15]

Answer:

Step-by-step explanation:

perp. 4/3

y - 4 = 4/3(x - 3)

y - 4 = 4/3x - 4

y = 4/3x

5 0
2 years ago
What's the absolute value of 9.8 and of - 10/3
alekssr [168]
The absolute value of 9.8 is 9.8, and the absolute value of - 10/3 is 10/3 
The Absolute value of a number is always positive. 
3 0
3 years ago
Read 2 more answers
2 1/3 divided by y= -1.27272727<br> what does y equal
Semmy [17]

Answer:

-1.83337261989

Step-by-step explanation:

(2 1/3)/y=-1.272727

2 1/3 = -1.272727y

y=-1.83337261989

6 0
3 years ago
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