What is the name of the parelellogram
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:
Average change in temperature is - 2.8 Fahrenheit per hour.
Step-by-step explanation:
Average change in temperature is the change in temperature divided by the time taken for the change.
Change in temperature = (-11.2) F- 0 F
= -11.2 F
Time taken for the change in temperature = 10 pm - 6 pm
= 4 hours
Average change in temperature = Change in temperature / time taken for the change
= 
= - 2.8 Fahrenheit per hour
Answer:
The volume of the jewelry box will be given by,

Step-by-step explanation:
It is provided that, Jasmine found a wooden jewelry box shaped like a right rectangular prism.
Consider the diagram below for the shape of a right rectangular prism.
The volume of a right rectangular prism is given by the formula:

Here,
l = length of the rectangle
w = width of the rectangle
h = height of the rectangular prism
Thus, the volume of the jewelry box will be given by,

Answer:
1 1/5 cups of butter
Step-by-step explanation:
4/5=2
=3
4/5 x 3=12/5
12/5 / 2
12/5 x 1/2=1 1/5