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.
<em>Answer:</em>
<em>d</em>
<em />
<em>0.9</em>
<em />
<em>The value of a correlation coefficient ranges between -1 and 1.</em>
<em />
<em>The greater the absolute value of the Pearson product-moment correlation coefficient, the stronger the linearrelationship.</em>
<em />
<em>The strongest linear relationship is indicated by a correlation coefficient of -1 or 1.</em>
<em />
<em>The weakest linear relationship is indicated by a correlation coefficient equal to 0.</em>
<em />
<em>A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.</em>
<em />
<em>A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.</em>
<em />
<em />
<em>hope it helps.</em>
<em />
Answer:
Step-by-step explanation:
4⁵
4 is the base.
The expression would me m / 7 or m and 7 as a fraction. M is on the top
Answer:
66
Step-by-step explanation:
I don't know the explanation but the answer is correct.
