The given triangle is a right triangle, with one of the acute angle measuring 45°
let's calculate x ~
So, tan x is :
[ since x = 45° ]
Equation of circle is 
Step-by-step explanation:
The standard form of the equation of circle is:
where (h,k) is the center of the circle and r is the radius of circle.
We need to find the radius of circle r by using distance formula:
![[tex]r=d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}\\r=d=\sqrt{(4-0)^2+(-4-2)^2}\\r=d=\sqrt{(4)^2+(-6)^2}\\r=d=\sqrt{16+36}\\r=d=\sqrt{52}](https://tex.z-dn.net/?f=%5Btex%5Dr%3Dd%3D%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%7D%5C%5Cr%3Dd%3D%5Csqrt%7B%284-0%29%5E2%2B%28-4-2%29%5E2%7D%5C%5Cr%3Dd%3D%5Csqrt%7B%284%29%5E2%2B%28-6%29%5E2%7D%5C%5Cr%3Dd%3D%5Csqrt%7B16%2B36%7D%5C%5Cr%3Dd%3D%5Csqrt%7B52%7D)
r=√52
and r^2= 52
Putting values of r^2=52 and value of center (h,k)=(0,2)
the equation of Circle is:
Keywords: Equation of circle
Learn more about Equation of circle at:
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I hope this helps you
if team lost 4 games in 12 games
? lost games in 100 games
?.12=4.100
?=100/3
?=33.3%
the answer is 138, because you divide first then add and then multiply.
Answer:
Option C. x^2-18x-81
Step-by-step explanation:
A. 16a^2-72a+81
x^2-2xy+y^2=(x-y)^2
x^2=16a^2→sqrt(x^2)=sqrt(16a^2)→x=sqrt(16) sqrt(a^2)→x=4a
y^2=81→sqrt(y^2)=sqrt(81)→y=9
2xy=2(4a)(9)→2xy=72a equal to the second term of the expression, then we can factor as a perfect square trinomial:
16a^2-72a+81=(4a-9)^2
B. 169x^2+26xy+y^2
a^2+2ab+b^2=(a+b)^2
a^2=169x^2→sqrt(a^2)=sqrt(169x^2)→a=sqrt(169) sqrt(x^2)→a=13x
b^2=y^2→sqrt(b^2)=sqrt(y^2)→b=y
2ab=2(13x)(y)→2ab=26xy equal to the second term of the expression, then we can factor as a perfect square trinomial:
169x^2+26xy+y^2=(13x+y)^2
C. x^2-18x-81
a^2+2ab+b^2=(a+b)^2
This expression does not factor as a perfect square trinomial because the third term is negative (-81).
D. 4x^2+4x+1
a^2+2ab+b^2=(a+b)^2
a^2=4x^2→sqrt(a^2)=sqrt(4x^2)→a=sqrt(4) sqrt(x^2)→a=2x
b^2=1→sqrt(b^2)=sqrt(1)→b=1
2ab=2(2x)(1)→2ab=4x equal to the second term of the expression, then we can factor as a perfect square trinomial:
4x^2+4x+1=(2x+1)^2
