Writing the Standard Equation of a circle

Write the equation of a circle with a center  $\left(0,0\right)\$  and a radius of 9 

•  $x^{2\ }+y^2=81$  

•  $x^{2\ }+y^2=9$  

•  $x^{2\ }+y^{2\ }=3$  

•  $x^2+y^2=0$  

Tags

CCSS.HSG.GPE.A.1

Find the center of a circle with an equation of  $x^2-2x+1+y^2+6y+9=16$  Write the center using parenthesis

 (    ,    )

(a)  

Tags

CCSS.HSG.GPE.A.1

Given the equation, check the all the correct answers that correspond to the equation
 $x^2+4x+4+y^2+2y+2\ =36$  

• radius = 6 

• radius = 36 

• standard form of equation:  $\left(x+2\right)^{2\ }+\left(y+1\right)^2=36$  

• standard form of equation:  $\left(x+4\right)^2+\left(y+2\right)^2=36$  

Tags

CCSS.HSG.GPE.A.1

Given the equation, check the all the correct answers that correspond to the equation
 $x^2-6x+9+y^2=4$  

• center ( 0, 3);  r = 4

• center ( 3, 0);  r = 2

• standard form of equation:  $\left(x-3\right)^{2\ }+y^2=4$  

• standard form of equation:  $\left(x-9\right)^2+y^2=4$  

• standard form of equation:  $x^2+\left(y-3\right)^2=2$  

Tags

CCSS.HSG.GPE.A.1

Find the center and radius given the equation
 $\left(x-5\right)^2+\left(y+1\right)^2=25$  

• center: (5, 1)  r = 5

• center: (-5, -1)  r = 5

• center: (-5, 1)  r = 5

• center: (5, -1)  r = 5

Tags

CCSS.HSG.GPE.A.1

Find the center and radius given the equation
 $\left(x-3\right)^2+\left(y-5\right)^2=49$  

• center: (3, 5)  r = 7

• center: (3, 5)  r = 49

• center: (-3, -5)  r = 7

• center: (-3, 5)  r = 49

Tags

CCSS.HSG.GPE.A.1

Factor the perfect square trinomial
 $x^2+10x+25$  

•  $\left(x+10\right)^2$  

•  $\left(x+5\right)^2$  

•  $\left(x-10\right)^2$  

•  $\left(x-5\right)^2$  

Tags

CCSS.HSA.APR.C.4

Factor the perfect square trinomial
 $x^2-12x+36$  

•  $\left(x-12\right)^2$  

•  $\left(x+12\right)^2$  

•  $\left(x-6\right)^2$  

•  $\left(x+6\right)^2$  

Tags

CCSS.HSA.APR.C.4

Factor the perfect square trinomial
 $x^2-18x+81$  

•  $\left(x-18\right)^2$  

•  $\left(x-9\right)^2$  

•  $\left(x+9\right)^2$  

•  $\left(x+18\right)^2$  

Tags

CCSS.HSA.APR.C.4

Review for Finals  $\angle A\ and\ \angle B\ are\ complementary,$  
 $\ \angle A=\left(x-10\right)\degree,\ \angle B=\left(4x-10\right)\degree.\$  
 $Find\ the\ value\ of\ \angle A.\$  

•  $22\degree$  

•  $12\degree$  

•  $78\degree$  

•  $30\degree$  

Tags

CCSS.7.G.B.5