Answer: Hi!
To find the answer for question 24, we would first find the square root of 20 and 5. The square root of 20 is about 4.47 (I used a calculator for convenience) and the square root of 5 is about 2.24. Now we need to add these:
4.47 + 2.24 = 6.71
Now we divide 30 by this:
30/6.71 = 4.47
Now, we'll evaluate the answer choices.
a) is equal to 1.49
b) is equal to 13.4
c) is equal to 4.47
d) is equal to 26.88
The answer choice that is correct is c, because it is what we got for the problem that we were supposed to solve in the beginning.
Hope this helps!
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:
y=8x
Step-by-step explanation:
an equation follows the structure of y=mx+b where m is the slope and b is the y-intercept for this line the y intercept is 0 so you dont have to include it in your equation and the slope = rise over run so 8/1=the slope if you put it into an equation the answer is y=8x
Answer:
0
Step-by-step explanation:
Simplifying
x2 + -4x + -12 = 0
Reorder the terms:
-12 + -4x + x2 = 0
Solving
-12 + -4x + x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-2 + -1x)(6 + -1x) = 0
