worksheet practice 12-4 60º 120º 60º mrs. rivas international studies charter school

HomeworkWorksheet Practice 12-4

60º

120º60º

𝑦=½ (120−60)

Mrs. Rivas

International Studies Charter School

𝑥=½ (120−60)𝒙=𝟑𝟎

𝒚=𝟑𝟎


36º

68º

𝑥=½ (68−36 )𝑥=½ (32)

𝑦=½ (68+36)𝑦=½ (104)

Mrs. Rivas


𝒙=𝟏𝟔

𝒚=𝟓𝟐

HomeworkWorksheet Practice 12-4Mrs. Rivas


𝟒𝟐=12(𝟑𝟔𝟎−𝒙 −𝒙)

42=12(360−2 𝑥)

84=360−2 𝑥−276=−2𝑥𝟏𝟑𝟖=𝒙

𝟑𝟔𝟎− 𝒙

𝑿𝟏𝟑𝟖

𝟑𝟔𝟎−𝟏𝟑𝟖

𝟐𝟐𝟐𝟏𝟏𝟏

𝟏𝟏𝟏


𝒚 ²=(𝟐+𝟗)𝟐𝒚 ²=𝟐𝟐𝒚=√𝟐𝟐

Mrs. Rivas


HomeworkWorksheet Practice 12-4𝒙 ∙(𝟏𝟐– 𝒙+𝟏𝟐)=𝟖 ∙𝟏𝟎

𝒙 ∙(𝟐𝟒 – 𝒙 )=𝟖𝟎𝟐𝟒𝒙− 𝒙 ²=𝟖𝟎

𝒙 ²−𝟐𝟒𝒙+𝟖𝟎=𝟎(𝒙−𝟐𝟎)(𝒙−𝟒)=𝟎

Mrs. Rivas


𝒙−𝟐𝟎=𝟎 𝒙−𝟒=𝟎𝒙=𝟐𝟎

𝟏𝟐𝟏𝟐𝟏𝟐−𝒙

𝒙=𝟒

HomeworkWorksheet Practice 12-4𝒛 (𝒛+𝟏𝟐)=𝟒(𝟖+𝟒)𝒛 ²+𝟏𝟐 𝒛=𝟒𝟖

𝒛 ²+𝟏𝟐 𝒛−𝟒𝟖=𝟎

Mrs. Rivas


𝒂𝒙2+𝒃𝒙+𝒄=𝟎

𝒙=−𝒃±√𝒃 ²−𝟒𝒂𝒄𝟐𝒂

¿−𝟏𝟐±√𝟏𝟐2−𝟒 (𝟏 )−𝟒𝟖

𝟐(𝟏)¿𝟑 .𝟐



𝒄𝟐=𝒂𝟐+𝒃𝟐

𝟏𝟎𝟐=𝒙𝟐+𝟔𝟐

𝒙

√𝟏𝟎𝟐−𝟔𝟐=𝒙𝟐

𝟖=𝒙

𝟖

𝟔𝒙

𝟖 ∙ 𝒙=𝟔 ∙𝟔𝟖 𝒙=𝟑𝟔𝒙=𝟒 .𝟓

𝒅𝒊𝒂𝒎𝒆𝒕𝒆𝒓=𝟒 .𝟓+𝟖¿𝟏𝟐 .𝟓



𝒙 𝟐𝟒 ²=𝟏𝟐 (𝟏𝟐+𝒙)𝟓𝟕𝟔=𝟏𝟒𝟒+𝟏𝟐𝒙𝟒𝟑𝟐=𝟏𝟐𝒙𝟑𝟔=𝒙

𝒅𝒊𝒂𝒎𝒆𝒕𝒆𝒓=𝟑𝟔



𝟒

𝒙𝟑 ∙ 𝒙=𝟒 ∙𝟒𝟑 𝒙=𝟏𝟔𝒙=𝟓 .𝟑𝟑𝟑

𝒅𝒊𝒂𝒎𝒆𝒕𝒆𝒓=𝟓 .𝟑+𝟑¿𝟖 .𝟑



(𝒙−𝒉 )𝟐+ (𝒚−𝒌 )𝟐=𝒓 𝟐

𝒉=𝟎 𝒌=𝟎 𝒓=√𝟑𝟔=𝟔



(𝒙−𝒉 )𝟐+ (𝒚−𝒌 )𝟐=𝒓 𝟐

𝒉=𝟐 𝒌=𝟕 𝒓=√𝟒𝟗=𝟕

HomeworkWorksheet Practice 12-53.

Mrs. Rivas


(𝒙−𝒉 )𝟐+ (𝒚−𝒌 )𝟐=𝒓 𝟐

(𝒙−𝟎 )𝟐+(𝒚 −𝟎 )𝟐=𝟕𝟐

𝒙𝟐+𝒚𝟐=𝟒𝟗



(𝒙−𝒉 )𝟐+ (𝒚−𝒌 )𝟐=𝒓 𝟐

(𝒙 −(−𝟐))𝟐+ (𝒚 −(−𝟓))𝟐=(√𝟐)𝟐

(𝒙+𝟐 )𝟐+(𝒚+𝟓 )𝟐=𝟐



(𝒙−𝒉 )𝟐+ (𝒚−𝒌 )𝟐=𝒓 𝟐

(𝒙 −(−𝟑))𝟐+ (𝒚−𝟑 )𝟐=𝟏𝟐

(𝒙+𝟑 )𝟐+(𝒚 −𝟑 )𝟐=𝟏



(𝒙−𝒉 )𝟐+ (𝒚−𝒌 )𝟐=𝒓 𝟐

(𝒙−𝟎 )𝟐+(𝒚 −𝟑 )𝟐=𝟒𝟐

𝒙𝟐+ (𝒚−𝟑 )𝟐=𝟏𝟔



𝒉=𝟎 𝒌=𝟎 𝒓=√𝟐𝟓=𝟓



𝒉=−𝟐 𝒌=−𝟒 𝒓=√𝟏𝟔=𝟒



𝒓=√ (𝟎−𝟑 )𝟐+(𝟎−𝟒 )𝟐

𝒓=√𝟑𝟐+𝟒𝟐

𝒓=√𝟗+𝟏𝟔𝒓=√𝟐𝟓𝒓=𝟓

(𝒙−𝒉 )𝟐+ (𝒚−𝒌 )𝟐=𝒓 𝟐

(𝒙−𝟎 )𝟐+(𝒚 −𝟎 )𝟐=𝟓𝟐

𝒙𝟐+𝒚𝟐=𝟐𝟓



𝒓=√ (−𝟒−𝟐 )𝟐+ (−𝟑−𝟐 )𝟐

¿√(−𝟔)𝟐+(−𝟓)𝟐¿√𝟑𝟔+𝟐𝟓𝒓=√𝟔𝟏

(𝒙−𝒉 )𝟐+ (𝒚−𝒌 )𝟐=𝒓 𝟐

(𝒙 −(−𝟒))𝟐+(𝒚 −(−𝟑))𝟐=¿¿(𝒙+𝟒 )𝟐+(𝒚+𝟑 )𝟐=𝟔𝟏

worksheet practice 12-4 60º 120º 60º mrs. rivas international studies charter school

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