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kondor19780726 [428]
3 years ago
7

18. Find the equation of the circle containing the points (-1.-1) and (3, 1) and with the centre on the line x-y + 10 = 0​

Mathematics
1 answer:
Vlad [161]3 years ago
3 0

Answer:

x^{2} +2x+y^{2}+2y= 18

Step-by-step explanation:

equation of circle is:

x^{2}+y^{2}=r^{2}

using distance formula and substituting value,

(3-(-1))^{2} +(1-(-1))^{2}=r^{2}

solving,

r=2\sqrt{5}

for equation of circle,

(x-(-1))^{2} +(y-(-1))^{2} =20

on solving,

x^{2} +2x+1+y^{2}+2y+1=20

on solving,

x^{2} +2x+y^{2}+2y= 18

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3 years ago
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The population at Bishop High School is 2000 students in 2011. Every year the population decreases by 50 students
Artemon [7]

Answer:

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  • In <u>2019</u> the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also,  Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, p=2000-50t

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

1600=2000-50t\\\Rightarrow50t=2000-1600\\\Rightarrow50t=400\\\Rightarrow\ t=\frac{400}{50}\\\Rightarrow\ t=8

Now, 2011+8=2019

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6 0
3 years ago
A cooler contains 5 bottles of lemonade, 4 bottles of water, and 3 bottles of juice. Each type is equally likely to be chosen. B
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3 years ago
How do i solve -3=-2x+1 by graphing?
KonstantinChe [14]

Answer:

x = 2

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-3 = -2x + 1

minus 1 to the both sides

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3 years ago
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