worksheet practice 12-4 60º 120º 60º mrs. rivas international studies charter school
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HomeworkWorksheet Practice 12-4
60º
120º60º
𝑦=½ (120−60)
Mrs. Rivas
International Studies Charter School
𝑥=½ (120−60)𝒙=𝟑𝟎
𝒚=𝟑𝟎
HomeworkWorksheet Practice 12-4
36º
68º
𝑥=½ (68−36 )𝑥=½ (32)
𝑦=½ (68+36)𝑦=½ (104)
Mrs. Rivas
International Studies Charter School
𝒙=𝟏𝟔
𝒚=𝟓𝟐
HomeworkWorksheet Practice 12-4Mrs. Rivas
International Studies Charter School
𝟒𝟐=12(𝟑𝟔𝟎−𝒙 −𝒙)
42=12(360−2 𝑥)
84=360−2 𝑥−276=−2𝑥𝟏𝟑𝟖=𝒙
𝟑𝟔𝟎− 𝒙
𝑿𝟏𝟑𝟖
𝟑𝟔𝟎−𝟏𝟑𝟖
𝟐𝟐𝟐𝟏𝟏𝟏
𝟏𝟏𝟏
HomeworkWorksheet Practice 12-4
𝒚 ²=(𝟐+𝟗)𝟐𝒚 ²=𝟐𝟐𝒚=√𝟐𝟐
Mrs. Rivas
International Studies Charter School
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
International Studies Charter School
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
International Studies Charter School
𝒂𝒙2+𝒃𝒙+𝒄=𝟎
𝒙=−𝒃±√𝒃 ²−𝟒𝒂𝒄𝟐𝒂
¿−𝟏𝟐±√𝟏𝟐2−𝟒 (𝟏 )−𝟒𝟖
𝟐(𝟏)¿𝟑 .𝟐
HomeworkWorksheet Practice 12-4Mrs. Rivas
International Studies Charter School
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
HomeworkWorksheet Practice 12-4Mrs. Rivas
International Studies Charter School
𝒙 𝟐𝟒 ²=𝟏𝟐 (𝟏𝟐+𝒙)𝟓𝟕𝟔=𝟏𝟒𝟒+𝟏𝟐𝒙𝟒𝟑𝟐=𝟏𝟐𝒙𝟑𝟔=𝒙
𝒅𝒊𝒂𝒎𝒆𝒕𝒆𝒓=𝟑𝟔
HomeworkWorksheet Practice 12-4Mrs. Rivas
International Studies Charter School
𝟒
𝒙𝟑 ∙ 𝒙=𝟒 ∙𝟒𝟑 𝒙=𝟏𝟔𝒙=𝟓 .𝟑𝟑𝟑
𝒅𝒊𝒂𝒎𝒆𝒕𝒆𝒓=𝟓 .𝟑+𝟑¿𝟖 .𝟑
HomeworkWorksheet Practice 12-5Mrs. Rivas
International Studies Charter School
(𝒙−𝒉 )𝟐+ (𝒚−𝒌 )𝟐=𝒓 𝟐
𝒉=𝟎 𝒌=𝟎 𝒓=√𝟑𝟔=𝟔
HomeworkWorksheet Practice 12-5Mrs. Rivas
International Studies Charter School
(𝒙−𝒉 )𝟐+ (𝒚−𝒌 )𝟐=𝒓 𝟐
𝒉=𝟐 𝒌=𝟕 𝒓=√𝟒𝟗=𝟕
HomeworkWorksheet Practice 12-53.
Mrs. Rivas
International Studies Charter School
(𝒙−𝒉 )𝟐+ (𝒚−𝒌 )𝟐=𝒓 𝟐
(𝒙−𝟎 )𝟐+(𝒚 −𝟎 )𝟐=𝟕𝟐
𝒙𝟐+𝒚𝟐=𝟒𝟗
HomeworkWorksheet Practice 12-5Mrs. Rivas
International Studies Charter School
(𝒙−𝒉 )𝟐+ (𝒚−𝒌 )𝟐=𝒓 𝟐
(𝒙 −(−𝟐))𝟐+ (𝒚 −(−𝟓))𝟐=(√𝟐)𝟐
(𝒙+𝟐 )𝟐+(𝒚+𝟓 )𝟐=𝟐
HomeworkWorksheet Practice 12-5Mrs. Rivas
International Studies Charter School
(𝒙−𝒉 )𝟐+ (𝒚−𝒌 )𝟐=𝒓 𝟐
(𝒙 −(−𝟑))𝟐+ (𝒚−𝟑 )𝟐=𝟏𝟐
(𝒙+𝟑 )𝟐+(𝒚 −𝟑 )𝟐=𝟏
HomeworkWorksheet Practice 12-5Mrs. Rivas
International Studies Charter School
(𝒙−𝒉 )𝟐+ (𝒚−𝒌 )𝟐=𝒓 𝟐
(𝒙−𝟎 )𝟐+(𝒚 −𝟑 )𝟐=𝟒𝟐
𝒙𝟐+ (𝒚−𝟑 )𝟐=𝟏𝟔
HomeworkWorksheet Practice 12-5Mrs. Rivas
International Studies Charter School
𝒉=𝟎 𝒌=𝟎 𝒓=√𝟐𝟓=𝟓
HomeworkWorksheet Practice 12-5Mrs. Rivas
International Studies Charter School
𝒉=−𝟐 𝒌=−𝟒 𝒓=√𝟏𝟔=𝟒
HomeworkWorksheet Practice 12-5Mrs. Rivas
International Studies Charter School
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
HomeworkWorksheet Practice 12-5Mrs. Rivas
International Studies Charter School
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