Step-by-step explanation:
The equation of a circle can be the expanded form of
\large \text{$(x-a)^2+(y-b)^2=r^2$}(x−a)
2
+(y−b)
2
=r
2
where rr is the radius of the circle, (a,\ b)(a, b) is the center of the circle, and (x,\ y)(x, y) is a point on the circle.
Here, the equation of the circle is,
\begin{gathered}\begin{aligned}&x^2+y^2+10x-4y-20&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4-49&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &x^2+10x+25+y^2-4y+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &(x+5)^2+(y-2)^2&=&\ \ 7^2\end{aligned}\end{gathered}
⟹
⟹
⟹
⟹
x
2
+y
2
+10x−4y−20
x
2
+y
2
+10x−4y+25+4−49
x
2
+y
2
+10x−4y+25+4
x
2
+10x+25+y
2
−4y+4
(x+5)
2
+(y−2)
2
=
=
=
=
=
0
0
49
49
7
2
From this, we get two things:
\begin{gathered}\begin{aligned}1.&\ \ \textsf{Center of the circle is $(-5,\ 2)$.}\\ \\ 2.&\ \ \textsf{Radius of the circle is $\bold{7}$ units. }\end{aligned}\end{gathered}
1.
2.
Center of the circle is (−5, 2).
Radius of the circle is 7 units.
Hence the radius is 7 units.
Answer:
Hello! answer: 5
Step-by-step explanation:
What you do to find the answer for these is do a^2+b^2=c^2 Basically meaning 4 × 4 + 3 × 3 will equal a number that you then find the suare root of square root just meaning a number multiplied by itself to equals that number so...
4 × 4 = 16
3 × 3 = 9
16 + 9 = 25
√25 = 5
5 × 5 = 25 therefore c = 5 hope that helps!
Answer:
1) 12
2) x=9
3) width=26
4) length=16
Step-by-step explanation:
Given: Shandra can do the complete work in 45 minutes.
So, Shandra's 1-minute work = 1 / 45 and
Kelly can do the same complete work in 1 hour and 15 minutes = 75 minutes.
So, Kelly's 1-minute work = 1 / 75
Now, we shall calculate Shandra's and Kelly's 1-minute work
By both 1 minute work = (1/45) + (1 / 75) = 8 / 225
∵ 8 /225 Parts can be completed by both = in 1 minute
∴ Complete work (1) can be completed by both = 225 / 8 minutes
or, = in 28 minutes and 7.5 second
Hence, the assumption taken by both was incorrect.
The best described time will be 28 minutes and 8 seconds.
Answer:
-5k-10
Step-by-step explanation:
- k + 2 (- 2k - 5) = - k - 4k - 10 = - 5k - 10
