赤い部分がなぜこうなるのか分かりません、教えてくれると有難いですm(*_ _)m

第4章 三角関数 例題 156 三角関数の最大·最小7) 例題 実数x, yがx°+y°=4 (x20, y>0) を満たすとき, 2x°+3xy-y°の 最大値と最小値を求めよ、 長さ ZPAI 考え方 「実数x, yが x+y=r (r>0)を満たす」を, 「点(x, y) が円 x*+y°=r? 上にあ 最大値 る」と考えると、x=rcos0, y=rsin0 とおける。 解答 実数x, yがx+y°=4 を満たすとき,点(x, y) は円 x°+y°=4 上の点だから, x=2cos 6, y=2sin0とおける。 また、x20, y20 より, 0%0S。 [考え方」 cos 020 かっ sin020 となるの 2x+3xy-y=k とおくと, x=2cos6, y=2sin0 より, k=2(2cos 0)?+3-2cos0·2sin0-(2sin0)° =8cos°0+12cos 0sin0-4sin°0 解答 は,0S0S のとき 1+cos20 =8- sin20 +12· 2 1-cos 20 4. sin20=2sin0cos0 より, 2 2 =6(sin20+cos20)+2 sin20 sin@cos0= 2 一6/2sin(20+号)+2 5 ここで,0S0Sより,s20+<てであるから, 1 -Ssin(20+4)=1 よって, sin(20+4)=1 つまり, 20+年=匹 より, e-号のとき, V2 kの最大値6/2+2 このとき,(x, y)=(2cos, 2sin sin(20+)=-っまり, 20+年=コx より., 0=号のとき, ) 1 ーπ より,0= 4 kの最小値 -4 このとき, (x, y)=(0, 2) Focus 実数 x, yが x°+y=rr を満たすとき, x=rcos0, y=rsin0とおける (ただし, 一般にr>0 とする) 注》点(x, y)が円 x*+y°=r上にあるとの考えによるものである。 練習 実数x, yが x?+y°=1 (xN0, y名0)を満たすとき 152」10 0.2の最士 E85|4

この物語の文章の中に文を付け足しして演劇(？)をビデオにとって提出しなきゃなんですけど、どこにどんな文を付け足したらいいと思いますか、、？

Let's 2c Read I AGlass of Milk 物語を読み,場面や登場人物の心情の変化を読み取ったり 気持ちをこめて音読したりすることができる。 CAN-DO New Words Once, a poor young boy was selling candy のglass [glts] コップ Oonce [wáns] 昔 door-to-door. He was earning money to go to school O door-to-door (d5:rtad5:r] He was very hungry, but he had only a few coins 戸別に The boy went to a house to sell candy. He Oearn(ing) [:rn (ip) (お金)をかせぐ knocked on the door anda woman opened it. She O few [jú:] 少しの のcoin(s) [ksin(2)] 硬貨,コイン said, T have no money for candy) She was not Oknock(ed) [nák(t1)] ノックする well-off herself. Owell-off [wel5(:){) 格猫な O herself |harsélf] 彼女自身 When the boy was about to leave, the woman said, Wait, She felt sorry for him because he Oa glass of コップ1杯の Oa few 少数の looked very hungry. So she brought him a glass of の be about to 今にも…しようとしている milk! [89 words

合っているか見ていただきたいです。 よろしくお願いします！！

States three Tornia. (6) a. It cost him at least 1,000 yen to park there. b.He paid less than 1,000 yen for parking there. 6(総合問題3) 次の( )内の適する語(旬)を選べ。 (1) There were only five foreigners (at most/ mostof all) in that park. 2) The girl became (more and more / much and much) beautiful. ) Which is (the heavier / the heaviest) of the two sumo wrestlers ? (4) He laughs as loudly as (anybody / nobody) else. ) The older we grow, the (wiser / wisest) we become. (4) Was this story interesting ? No. It was the (most / least) interesting of all () Jane is taller than I but junior (than (to) (I/foe)

日本語訳これであってますか？

)it( ) our l s. 2 下線部に注意して日本語に直しなさい。(G-2) 1. Alfred Nobel might have invented dynamite to be useful for people. 2. Deep Learning must have had a great influence on the development of AI. 3. He knowsa lot about AI, so he may have studiedabout it in university. 4. We should have paid more attention to the bad effects when he invented the machine. 5. Cathy couldn't have seen The Terminator because she is easily frightened. 58

英語教師も迷っていたところです。 代名詞thatが24の文末にあるのですが これはchemicals のことをいうのか raw materialsのことをいうのか？ 皆さんの意見お聞きしたいです！

CIothes. 7 (2t can take/more than 20,000 liters of water to pr 有等である kilogram of cotton, / equivalent to/a single T-shirt and a pair of jeans. ! (24)Up to S 生の原材料 8,000 different chemicals are used / toturnraw materials into clothes」/ so we must 処分する方法 O Consider how to dispose lof them. // (25)If we do not do it properly, / these chemicals

empower1 65ぺーじ 大門1から4教えて欲しいです

Drills +C(現在分詞) 1 日本語に合うように, ( 1. Don't ( 歯を磨いている間に, 水を出しっぱなしにしてはいけません。 )に入る適切な語を下から選びなさい. A ) the water ( )while you are brushing your teeth. い(過去分詞) ) more than thirty emails ( ) to my address this morning. 今朝,30通以上ものメールが私のアドレスに送られているのを見つけた。 ) the temperature ( ) at 27 degrees during summer. 3. I always ( 私は夏の間,いつも温度を27度に設定しておきます。 現在分詞) running sending sent ] [ found keep leave setting set run 2 日本語に合うように, ( )に適切な語を入れなさい.B 過去分詞) )a lot of people ( ) pictures in front of the Imperial Palace. 私はたくさんの人が皇居の前で写真を撮っているのを見ました。 ) his name ( )in the crowd and turned around. 2. He( 彼は人込みの中で自分の名前が呼ばれるのを聞いて振り向いた。 る」の意味 ) something ( )near my feet. 3. When I was walking in the grass, I ( 草原を歩いているとき,私の足元で何かが動いているのを感じた。 ]内の語句を並べかえなさい. C 3 日本語に合うように,[ 1. We [ our picture / had / taken ] at the shrine. 私たちはその神社で写真を撮ってもらった。 詞) 2. I[ repaired / had / bicycle / my] at the bicycle shop. 私は自転車屋で自転車を修理してもらった。 司) 3. She [ caught / got / skirt / her ] in the car door. 彼女は車のドアにスカートをはさまれた。 なども Grammar in Context した)/ 4 日本語に合うように英文を完成し,声に出して読みなさい。 C1. Last night, my friend [ stolen/ had / his bicycle ]. 昨晩,友人が自転車を盗まれました。 2. The police [his bicycle / found / left ] in front of the station. 警察が彼の自転車が駅前に放置されているのを発見しました。 3. You should always [ locked / your bicycle / keep ]. 自転車にはつねにかぎをかけておくべきです。 ーは Grammar for Expression Can-Do 体験を述べる 例を参考にして,体験したトラブルを述べなさい。 例 This morning I had an accident when I ran into the train. I got my bag caught in the C and the train was delayed by ten minutes.

どなたか英作文の添削お願いします。☺️

7Toaan han % tence stores in Japai. Do yoú think yoi think 有, 「ほく。53 も夜 ence stores in Japan. it is' good or bad きまるとができる。 for us? Write your opinio in English With about 50 words. thete are many24-hour 夜 、I have a main reason I Think it is good tor us If we feel hungry at hight, we can buy Variou too d . do a lot of things in Convenience STore Though it is dark、 So, I ihink . Also, we can 24- hour Convenience store is necessary for Oun lives Do you agree or disagree

答えがないので、これで正解なのか見て欲しいです🙇よろしくお願いします！

Part 2. 下線部に入れるべき語句として最も適切なものを(a) - つ選び、その記号を記入しなさい (d)の中から1 26. He's suffering from moming. a. fever He's been to the toilet six times already this b. diarrhea Odizziness d. urine 27.1sometimes feel a little short of a. breath ifl go upstairs too quickly. c. height b. dizziness | weight 28.I'm allergic to house dust and pet hair. If l'm near a cat, I can't stop a. laughing Gsneezing c. throwing up d. waiting 29. It's not a bad cut. You won't need any a. blood A band-aid should be enough. d. trouble b. stitches のuppositories 30. Some patients suffering from a. heart b. kidney disease need dialysis. c. lung Ostomach 31. Do you have any pain? Where does it a. feel b. have Phurt d. look 32. AEDS are useful if someone has suffered a heart b. attack a. acute lectric d. time 33. a.JBreast cancer is a disease that affects women but is much less common in men. b. Every C. Head d. Prostate 34. a. Diabetes is a common disease, often caused by lack of exercise and a poor diet. b. Influenza Insomnia d. Mumps your arm and make a fist. 6. put off 35. Please a. hold out c. stand up d. take out 36. The will soon stop if you use this cream on your rash. Clime a. dizziness b. itching d. weakness 37. People who have had a a. heart often suffer paralysis or loss of mobility. C. stroke b. problem Oymptom 38.“What are your ?""I have a headache and a sore throat." d. terms aonditions b. signs C. symptoms

これも答えがなくて分からないので教えて欲しいです🙇‍♀️

39. If you've twisted your ankle, rest, ice and compression is the best a. condition b. painful c. time d. treatment 40. Please put out your a. foot and say 'aaahhh'. b. finger c. informed consent form d. tongue 41.1've got a sore throat and I keep a. coughing b. divorcing C. painful d. sleeping 42. Nausea and dizziness are common side- a. aches from some medicine. d. things b. effects c. pains 43.I think you're suffering from mumps. Your neck and throat are very a. hurt b. swollen C. tired d. weak 44. Do you know what might be a. aching this problem? C. doing b. causing d. hurting 45.I can't sleep at all. I think I'm suffering from b. divorce a. diarrhea c. insomnia d. symptoms Part 3. 各英文の( ) の部分に、下記の(a) ~ (d) の語句を入れて、英文を 完成しなさい。ただし、解答は (A) と (B) に入れるものの記号を記入 4 e 46. Could ( ) (A) ( ) (B) form please? b. you C. in d. this a. fill とb ad 47. Do ( ) (A) ( ) ( 3 ) ? b. have C. you d. insurance a. health. b4 c 48. Could you ( ) (A) ( ) (3) for me please? b. hold d. out C. your a. arm dc 49. Does this ( ) (A) ( ) (3) effects? b. medicine d. have a. side C. any b d a 50. Are () (A) ( ) ( 3 ) now? b. taking d. any a. medication C. you

答えがなくて分からないので教えて欲しいです🙇‍♀️

Part 2. 下線部に入れるべき語句として最も適切なものを(a) つ選び、その記号を記入しなさい (d)の中から1 26. He's suffering from moming. a. fever He's been to the toilet six times already this b. diarrhea c. dizziness d. urine 27.I sometimes feel a little short of a. breath ifl go upstairs too quickly. c. height b. dizziness d. weight 28. I'm allergic to house dust and pet hair. IfI'm near a cat, I can't stop a. laughing b. sneezing C. throwing up d. waiting 29. It's not a bad cut. You won't need any a. blood A band-aid should be enough. b. stitches c. suppositories d. trouble 30. Some patients suffering from a. heart disease need dialysis. c. lung b. kidney d. stomach 31. Do you have any pain? Where does it b. have a. feel C. hurt d. look 32. AEDS are useful if someone has suffered a heart a. acute b. attack c. electric d. time 33. cancer is a disease that affects women but is much less common in men. a. Breast b. Every C. Head d. Prostate 34. a. Diabetes is a common disease, often caused by lack of exercise and a poor diet. b. Influenza C. Insomnia d. Mumps 35. Please your arm and make a fist. b. put off a. hold out c. stand up d. take out 36. The will soon stop if you use this cream on your rash. b. itching a. dizziness C. time d. weakness 37. People who have had a a. heart often suffer paralysis or loss of mobility. C. stroke b. problem d. symptom 38.“What are your ?"“I have a headache and a sore throat." a. conditions b. signs C. symptoms d. terms