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:
Sum angle of triangle BHD = 180°
36 + 39 + BHD = 180
BHD = 180 - 36 - 39
= 105°
BHD + x° = 180° (straight angle)
105° + x° = 180°
x = 180 - 105
= 75°
y = 8
x = 575
We want to solve for b in the slope-intercept form y = mx + b.
To complete this problem, we need the value of m, the slope. If you know m, then just plug into y = mx + b this way:
8 = 575m + b
Answer:
$5 each teenager
Step-by-step explanation:
divide 75 by 15
Answer:
<u><em>There is not enough information to know if there is a statistically significant difference in the number of children per family between the three countries.</em></u>
Step-by-step explanation:
There are other important information that are necessary in order to reach a decisive conclusion. This includes not just the f value only, but the alpha value, f critical value and the p-value after conducting the one way ANOVA.
Since we do not have information about the p value, as well as the alpha value there is no way to compare the effects of all the variables.
Therefore, no decision can be made by the Pediatrician without knowing what the p value is and the apha value is.
