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3 years ago

how do you find the diameter of a circle using the equation x^2+y^2+8x-22y-88=0? I need it step by step please

Mathematics

2 answers:

Aloiza [94]3 years ago

3 0

Check attached image file.

MakcuM [25]3 years ago

3 0

You can complete the square on x and y terms to find the radius:-

x^2 + 8x + y^2 - 22y - 88 = 0
(x + 4)^2 - 16 + (y - 11)^2 - 121 - 88 = 0
(x + 4)^2 + (y - 11)^2 = 121 + 88 + 16 = 225
(x + 4)^2 + (y - 11)^2 = 225
compare this with the standard form:-
( x - a)^2 + (y - b)^2 = r^2 where r = radius
So radius = sqrt225 = 15

Diameter = 2*15 = 30 Answer

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Find the slope between the points (−3,−5) and (10,-5)

balandron [24]

Answer:

Step-by-step explanation:

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

$m = \dfrac{-5 - (-5)}{-3 - 10}$

$m = \dfrac{0}{-13}$

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3 years ago

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dexar [7]

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2 years ago

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 120 and a standard deviation of

KengaRu [80]

Answer:

$G=93\ to\ 147$

Step-by-step explanation:

From the question we are told that

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Generally the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean

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2 years ago

1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

$\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

7 0

3 years ago

PLZ HELP!

9966 [12]

Answer:

The area of the triangle is 36 square units

Step-by-step explanation:

First you can make the graph to set up the problem. You then plot the point 3,6 (A). You then reflect this over the Y axis which would be the point -3,6 (B). Point A is then reflected over the X axis to give you 3,-6 (C). You then multiply their total lengths 12 and 6 which is 72. Then you divide 72 by 2 because it is a triangle to get 36

8 0

3 years ago