なぜ下線のところで判別式を使うのでしょうか。

Check 例題246 放物線と接線の囲む面積(②2) 2つの放物線 C:y=x²-5x+7, C2:y=x2+3x-1 の両方に接する 直線をl とする. (1) 直線l の方程式を求めよ. 解答 item (2) 放物線 C,C2 と直線ℓとで囲まれた図形の面積を求めよ . (工学院大) 考え方 (1) C に接する直線を考え, それが C2 にも接することから求める. (2) グラフをかいて求める部分を確認する. (1) C1:y=x2-5x+7 に接する直線を考える. 接点のx座標をα とおくと,y'=2x-5 より の方程式は, y-(α²-5a+7)=(2a-5)(x-α) Focus y=(2a-5)x-a²+7 この接線が C2:y=x+3x-1 にも接する。 x2+3x-1=(2a-5) x-g'+7 (+ook)=v x2-2(α-4)x+α²-8=0...... ①0 ① の判別式をDとすると, 接するから, D=0_ (d 1/1={-(α-4)}'-(α²-8)=0 より,α=30 よって、 直線l の方程式は, y=x-2 (2) 2つの放物線 C1, C2 と直線lとで囲まれ た図形は右の図の色をつけた部分である。1f= C1, C2 の交点のx座標は, SiとSの x2-5x+7=x2+3x-1より)x=1 C と lの接点のx座標は, (1) より, 2 と lの接点のx座標は, x2+3x-1=x-2 より, x=-1d+ops)}- よって, 求める面積は, S_₁{(x²+3x −1)—(x−2)} dx 10-01TRY インドプロロー +=$_,(x+1)dx+f'(x-3)2dxLd ++S²{(x²–5x+7)−(x−2)} dx 13,22311 x=3 | C の接線とC2の接 接線線が一致するとき この直線は C と C の両方に接すること を利用してもよい。 接点の座標は (α, 2-54+7) 接点 yを消去して, のx座標を求める 2 次方程式を作る. 接する ⇔ 判別式 D=0 (重解をもつ) α=3 を接線の方程 式に代入する. wy IC2 IC1 放物線と接線 連立して (判別式) = 0 =1/12(x+11+1/23(x-3)=1/22-1/3(-2)=108 S__ |(²=2) 18+ (6 78-8 *** 1 O 23 16

特にAの問題が分かりません。 よろしくお願いします。

・スクエイク 7 In Case of a Big Earthquake Tom: Did you feel the earthquake last night, Ryoko? But it wasn't so big, ( Ryoko: Of course I did. Tom: (right)? I thought it was. I was scared! I think we need to prepare for a big one. What should we do first? Ryoko: First, we should stock water and food. I リコメンド recommend that you buy canned foods and vegetable juice. Second, it is important to know where we should go when our homes are too dangerous to stay in. SOUND Tom: I see. Ryoko: Usually, we go to the nearest school or park. Also, a lot of things in your room may fall down on you. You need to fix the furniture in case of a big earthquake. Tom: How can I do that? Ryoko: You can fix the furniture to the wall with metal brackets. If you are interested in getting some, check on the Internet. Tom: OK. Thank you for so much useful information. A 下線部が「でも, それはそんなに大きくなかったですよね。」 という意味になるように,( )内に適 切な語を書きなさい。 But it wasn't so big, ( ) ( )? 1 B 本文の内容にあうものにあわないものに×を書きなさい。 1 Ryoko told Tom to stock vegetable juice instead of water. 2 We usually go to the nearest school or park when our homes are too dangerous to stay in. 3 You can find metal brackets on the Internet.

(3)について、0.6×10^23 では間違いですか？

P.622 物質量 106 [物質量と質量粒子数・体積] 次の問いに答えよ。 ただし, アボガドロ定 check! 数は 6.0×10²/mol とする。 また、標準状態における気体1mol の体積は22.4L (1) 酸素 O2 3.0mol の質量は何gか。 (2) 水素 H22.00molは標準状態で何Lか。 (3) アンモニア NH 0.10mol には何個のアンモニア分子が含まれるか。

書いてあることが分かりません。噛み砕いて教えて欲しいです🙏

Check! 例題 56 剰余定理(②2) *** 整式P(x) を x2+x+1 で割ると余りはx+1, x-1 で割ると 余りは11のとき, P(x) を x1で割った余りを求めよ. (東京電機大改) 考え方 x-1=(x-1)(x2+x+1) である。"{S+(S-x)} P(x)=(x2+x+1)Q(x)+x+1,Q(x)=(x-1)Q'(x)+α とおくと,4より P(x)=(x2+x+1){(x-1)Q'(x)+α}+x+1のPC (2)=(x-1)(x2+x+1)Q'(x)+α(x2+x+1)+x+1 となる。 xxx +3 8420 ps & 解答 P(x) を x2+x+1 で割った商をQ(x) とすると、余りは 1 x+1 より. P(x)=(x²+x+1) Q(x)+x+1S......S=(S) 9 さらに,Q(x) を x-1で割った商をQ'(x), 余りを定数 aとすると,(-2)-(-2)+(-2)^+4=0 S + ( + ) 1 0 a=3 よって, 求める余りは, Q(x)=(x-1)Q'(x) + a2+z)Sm& .....(z) ② を①に代入すると, P(x)=(x2+x+1){(x-1)Q'(x)+α}+x+1 (2) P(x)=(x-1)Q'(x)+α(x2+x+1)+x+1 ……③ P(x) をx-1で割ると余りは11より, P(1)=11 * { s + (S-剰金の 剰余の定理 (28) +"(S-*) したがって、③より 0P(1)=a(12+1+1)+1+1=11 =(x-1)(x2+x+1)Q'(x)+α(x2+x+1)+x+1 とたるものであく 焼 Donos +2x+6 3(x2+x+1)+x+1=3x2+4x+4 1次式で割ったときの 余りは定数 約 BHS XD (7) 10 Jp12.50

この問題の答えを教えてください🙏

【ⅢI】 次の(A), (B)の設問に答えよ。 (A)14点,(B) 6点) (A) 次の英文を読んで下の設問に最も適切な解答をせよ。 特に指示のない選択式の設問は記 号を1つ選んで答え, "You may choose more than one option." と指示のある設問に対して複 数の記号を選ぶ場合は, アイウエオ順に解答すること｡ Mike: Hello Alex, long time no see! Alex: Hi, it's been almost two years since we last met each other! How were you doing? Mike: Until recently, I was frustrated that I could not meet my friends at university, but I was able to spend more time with my family, so I was okay. By the way, how did you like the online classes? Alex: Personally, I did not like them. It was difficult for me to maintain my concentration at home. Also, I could not resist the temptation of using my smartphone, because there was no supervisor at home who checked whether I was working hard or not. Mike: If you use your phone during class, the professor will definitely tell you off! Mo Alex: Another reason why I prefer in-person classes is that I can ask questions or have discussions with my friends. In the Pre-covid-19 era, when I had questions, I went up to my friend Thomas, one of the best students in our faculty and he taught me everything that I did not understand. Mike: That was a huge issue for me as well. If I have questions piled up, then I am more likely to dislike the subject and have more anxiety towards it. So, my friends and I decided to have meetings online on a regular basis and this helped me to worry less about online learning. Alex: That was really ( 1 ) of you, I should have done that! So, are you in favor of online learning? Mike: Yes, although I have less face-to-face interaction with friends, I like online learning more because I do not have to spend a lot of time commuting to school. I live far away from university and it takes two hours for me to get here by train. B(A) Alex: Really! I did not know that, what time do you wake up? Mike: I usually wake up at 5 am. Alex: That's so early! What do you do on the train? Mike: I just do netsurfing and I do not feel that I use my time productively on the train. If we can continue to take online classes wherever we want, we can get more flexibility in our schedules, We won't have take the time to commute to the university to attend classes, or if we like it, we may even be able to watch lecture videos on our phones while traveling by train. Alex: I understand your opinion, but didn't you have any technical problems? Mike: I only had a few. Besides, most of the professors posted recorded videos of lectures after class. So, I watched the recordings when I missed some parts. Furthermore, I could study at my own pace and the videos allowed me to digest what I had learned. Alex: That's a good point, but it had an adverse effect on my learning. Mike: How? Alex: I started skipping my online classes because I thought I could just watch those recorded videos later. So, just before exams, I had so many videos to watch. Mike: Maybe, traditional classroom settings might be better for people like you. Alex: I think so. Oh, it's time to go to class. Mike: Oh, yeah, have a good day. Alex: You too! 問1 NOTES Topic of the conversation: (2) Standpoint Basis Mike (3) (5) Choose the best one to complete blank 1. 7 because cruel clever I kind 2 Choose the best title to complete blank 2. 7 How to get good results at university Technical issues in online classes Safe remote learning at home I Online learning or learning face to face Alex (4) (6) -11-

見出しのThe BLUE White shirtの下に書いてあるThose who know…の文章の最後はなぜこのような表現なのですか？ their ownではなくthemselves などではいけないのでしょうか。

集 =) / -) ) The Blue White Shirt Check CIEN Check ck deck プリン した食感と と苦みのある →122 Those who know nothing of foreign languages ~する人々 know nothing of their own. - Johann Wolfgang von Goethe Lanilla フラメルが美味 - Home made す･･ ス コレートパフェ ・バナナジュース ・トマトジュース フルーツシュース・レンスカッシュ キイスカッシュ コー コーヒーゼリー 人気の " トースト ☆ 歓声度NO.1 プリンアラモード/ 10 じ シナモンの香 シロップ パンの香ばしさな よく合いま カフェアジルの生クリー 甘すぎずこにかく上質で 上品な生クリームにこだわ le ヨーグル

この問題の答えを教えてください🙇‍♀️

【Ⅲ】 次の(A), (B)の設問に答えよ。 ((A)14点,(B)6点) (A) 次の英文を読んで,下の設問に最も適切な解答をせよ。 特に指示のない選択式の設問は記 号を1つ選んで答え, "You may choose more than one option." と指示のある設問に対して複 数の記号を選ぶ場合は、 アイウエオ順に解答すること。 Mike: Hello Alex, long time no see! Alex: Hi, it's been almost two years since we last met each other! How were you doing? Mike: Until recently, I was frustrated that I could not meet my friends at university, but I was able to spend more time with my family, so I was okay. By the way, how did you like the online classes? Alex: Personally, I did not like them. It was difficult for me to maintain my concentration at home. Also, I could not resist the temptation of using my smartphone, because there was no supervisor at home who checked whether I was working hard or not. Mike: If you use your phone during class, the professor will definitely tell you off! Hot Alex: Another reason why I prefer in-person classes is that I can ask questions or have discussions with my friends. In the Pre-covid-19 era, when I had questions, I went up to my friend Thomas, one of the best students in our faculty and he taught me everything that I did not understand. Mike: That was a huge issue for me as well. If I have questions piled up, then I am more likely to dislike the subject and have more anxiety towards it. So, my friends and I decided to have meetings online on a regular basis and this helped me to worry less about online learning. Alex: That was really (1) of you, I should have done that! So, are you in favor of online learning? Mike: Yes, although I have less face-to-face interaction with friends, I like online learning more. because I do not have to spend a lot of time commuting to school. I live far away from university and it takes two hours for me to get here by train. Alex: Really! I did not know that, what time do you wake up? Mike: I usually wake up at 5 am. ant mo Alex: That's so early! What do you do on the train? Mike: I just do netsurfing and I do not feel that I use my time productively on the train. If we can continue to take online classes wherever we want, we can get more flexibility in our schedules, We won't have to take the time to commute to the university to attend classes, or if we like it, we may even be able to watch lecture videos on our phones while traveling by train. Alex: I understand your opinion, but didn't you have any technical problems? Mike: I only had a few. Besides, most of the professors posted recorded videos of lectures after class. So, I watched the recordings when I missed some parts. Furthermore, I could study at my own pace and the videos allowed me to digest what I had learned. Alex: That's a good point, but it had an adverse effect on my learning. Mike: How? Alex: I started skipping my online classes because I thought I could just watch those recorded videos later. So, just before exams, I had so many videos to watch. Mike: Maybe, traditional classroom settings might be better for people like you. Alex: I think so. Oh, it's time to go to class. Mike: Oh, yeah, have a good day. Alex: You too! 問1 NOTES Topic of the conversation: ( 2 ) Standpoint Basis Mike (3) (5) Choose the best one to complete blank 1. 7 because cruel clever I kind 2 Choose the best title to complete blank 2. 7 How to get good results at university Technical issues in online classes Safe remote learning at home I Online learning or learning face to face Alex ( 4 ) (6) -11- 18

答えは175mです (2)の問題です 解説見ても分からなくて… 解き方を教えて欲しいです

イ 音は水中では伝わるが, 真空中では伝わらない。 ウ音は水中では伝わらないが, 真空中では伝わる。 音は水中でも真空中でも伝わらない。 (2) 自動車が10m/sの速さでコンクリート壁に向かって一直線上を進みなが ら音を出した。 音がコンクリート壁に反射して自動車に返ってくるまで に1秒かかった。 音を出したときの自動車とコンクリート壁との距離は 何mか, 求めなさい。 ただし、空気中の音の伝わる速さを340m/s とし, きょり えいきょう 風の影響はないものする。 [ ] 次の文を読んで、あとの問いに答えなさい。 [三重] (2) 1秒間に音と自動 車はどれだけ進むか 考える。 | Check! 自由自在② 音の大きさや高 さがどのような条 件で変わるか調べ てみよう。

答えがないので教えて頂きたいです🙏🏻💧

第3回 078 079 080 ① 空所に入れるのに最も適当な語句を,下の①~ ④ から一つずつ選びなさい。 We will be arriving at Chubu International Airport ( ) 10 minutes. . 2 during by 3 for 4 in 076 077 071 072 073 074 075 Level 1 - PART C = The population of this city increased ( 1 of 2 at 3 by She was ill in bed. That's ( 1 because 2 why "You are going to take next week off, aren't you?" "Yes. ( ) my absence, I would like you to take over from me." 1 On 2 For 3 While 4 During ) three percer last year. 4 in He behaved as ( though ) she didn't come to the party. 3 what 4 when A book is not always good just ( 1 because 2 when When I got to the checkout counter, I realized that I didn't have enough money, so I kept ( ) I really needed and left the rest. 1 that 2 this 3 what ( ) you were not at the meeting, we made the decision without you. 1 Unless 2 Since 3 If ) nothing had happened. 2 soon as 3 for For The number of students in my reading class ( 1 is (2) are have (名古屋外語大) (南山大) (大) 4 which (センター試験) ) it is written by a famous writer. 3 while 4 as (4) to (高岡法大) ( ) her kind advice, he succeeded in passing the examination. 1 In case of Far from On earth 4 Thanks to (京都学園大) (東海大) (創価大) (中央大) ) limited to twenty-five. 4 has (専修大)

informations···▸informationに変えるような問題です。 答え合わせがしたいので、答えを教えて頂きたいです。大問1と2です。

1 Correct the sentences which have mistakes. Tick (✔) the correct sentences. 1 Do you have any informations about these people? information 2 How many people do you employ? Sorry, I don't have much time. Let's be quick. 4 A little customers have complained about the increase. 5 I'm afraid we don't have many paper in stock. 6 There isn't much demand for this line any more. Give him any more time to finish this. I've got fewer space in my new office than in my old one. 9 A lot of people said they preferred the taste of this one. 10 I'd like a little help with that, please. 7 8 2 Two people are checking the store cupboard at work. Complete their conversation with a suitable quantifier. A So, how many boxes of paper clips do we have in stock? so we should B Well, we only have a ² probably order some more. A How about ink cartridges? I don't think there are left. 3 B Well, there's an extra box of them here, but we'll more, sooner or later. need 4 A OK. What about the coffee machine? How 5 coffee is there? B There's a 6 7 of that, but there aren't packets of tea. A Right, so that's paper clips, ink cartridges and tea. Anything else? a at the moment, but people in the office have asked me if B Well, we don't have 8 9 we can have biscuits for the tea breaks.