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:
slope:3
y intercept:1
equation:y=3x+1
Step-by-step explanation:
Answer:
1458 sq cm
Step-by-step explanation:
because each dimension of A is 3 tomes each dimension of B, that will mean that both the length and width of B are multiplied by 3 in order to get the length and width of A, so the area of B is length×width=162 and the area of A (in terms of B's dimensions) is 3xlength×3×width=9×length×width=9×162=1458 sq cm
Its B.y=±√n+36
i hope that helps
Complete Question:
Triangle abc has the angle mesausres shown.
m<A = (2x)°
m<B = (5x)°
m<C = (11x)°
Which statement is true about the angles?
A. m<A = 20°
B. m<B = 60°
C. m<A and m<B are complementary
D. m<A + m<C = 120°
Answer:
A. m<A = 20°
Step-by-step explanation:
m<A + m<B + m<C = 180° (sum of interior angles of a triangle)
(substitution)
Solve for x. Add like terms.
Divide both sides by 18
Find the measure of each angle by substituting x = 10:
m<A = (2x)° = 2(10) = 20°
m<B = (5x)° = 5(10) = 50°
m<C = (11x)° = 11(10) = 110°
Therefore, the only true statement is:
A. m<A = 20°
