Answer:
6, -4
Step-by-step explanation:
abs(-1+x)=5
-1+x=5 and -1+x=-5
-------------------------
-1+x=5
x=5-(-1)=5+1=6
-------------------
-1+x=-5
x=-5-(-1)=-5+1=-4
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.
30% off $ 45
<span>30% of $ 45 = (.3) (45) = $ 13.50 </span>
<span>30% off $ 45 = $ 45.00 - $ 13.50 = $ 31.50
hope this helped:)
</span>
Answer:
UNITED STATES ITALY DEM. REP. CONGO
Population mid-2008 305 million 60 million 67 million
Population 2050 (projected) 438 million 62 million 189 million
Lifetime births per woman 2.1 1.3 6.5
Percent of population below age 15 20% 14% 47%
Percent of population ages 65+ 13% 20% 3%
Life expectancy at birth 78 years 81 years 53 years
Annual births 4.3 million 568,120 2.9 million
Annual deaths 2.4 million 575,300 0.8 million
Annual births minus deaths 1.9 million -7,200 2.1 million
Percent of population undernourished <2.5% <2.5% 74% hope this helps!
