Mathematics, 13.07.2019 19:30 markusfloyd9192
Acircle is centered at the point (-7, -1) and passes through the point (8, 7). the radius of the circle is units. the point (-15, ) lies on this circle
Answers: 1
![\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\\stackrel{center}{(\stackrel{x_1}{-7}~,~\stackrel{y_1}{-1})}\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\\stackrel{radius}{r}=\sqrt{[8-(-7)]^2+[7-(-1)]^2}\implies r=\sqrt{(8+7)^2+(7+1)^2}\\\\\\r=\sqrt{15^2+8^2}\implies r=\sqrt{225+64}\implies \boxed{r=17}](/tpl/images/0085/9064/feccc.png)
![\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2\qquad center~~(\stackrel{-7}{ h},\stackrel{-1}{ k})\qquad \qquad radius=\stackrel{17}{ r}\\\\\\\[x-(-7)]^2+[y-(-1)]^2=17^2\implies (x+7)^2+(y+1)^2=289\\\\\\\stackrel{\textit{since we know x = -15}}{(-15+7)^2+(y+1)^2=289}\implies (-8)^2+\stackrel{FOIL}{(y^2+2y+1^2)}=289\\\\\\64+y^2+2y+1=289\implies y^2+2y=224\implies y^2+2y-224=0\\\\\\(y+16)(y-14)=0\implies y=\begin{cases}-16\\14\end{cases}](/tpl/images/0085/9064/23fe9.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 16:00, kathyc53
Areal estate agent earns $32,000 a year plus $1,000 for each apartment he sells. write an equation that shows the relationship between the number of apartments abe sells, n, and the total amount he earns in a year, e. what is the total amount abe would earn from selling 10 apartments in one year
Answers: 3
Mathematics, 21.06.2019 18:00, cgonzalez1371
Janie has $3. she earns $1.20 for each chore she does and can do fractions of chores. she wants to earn enough money to buy a cd for $13.50. write an inequality to determine the number of chores, c, janie could do to have enough money to buy the cd.
Answers: 2
Mathematics, 21.06.2019 18:10, lupitasalas9283
Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.
Answers: 1
Mathematics, 21.06.2019 20:00, duhitzmay4693
The scatterplot below shows the number of hours that students read weekly and the number of hours that they spend on chores weekly. which statement about the scatterplot is true?
Answers: 2
You know the right answer?
Acircle is centered at the point (-7, -1) and passes through the point (8, 7). the radius of the cir...
Questions in other subjects:
History, 01.09.2019 22:30
Mathematics, 01.09.2019 22:30
Biology, 01.09.2019 22:30
Biology, 01.09.2019 22:30
