数1の数と式の問題です。 マーカーを引いた部分の式がなぜこのようになるのかを教えていただきたいです。

昌樹 (3)x+y+23 簡単にせよ。 =(x+y+z)(x2+y+z-xy-yz-zx) +3xyz が成り立つから (2) より x+y+z=2√2+1){7-(2√2+1)}+3 =2(2√2+1)(3−√2)+3=10√2+1 x,y,z (3つの文字) に関する対称式, 基本対称式 + JoJ この等式は、入試問題で はよく使われる。 覚えて おこう! 上の (1)~(3) では x, y, zのどの2つを入れ替えてももとの式と同じになる。これらを x, 検討 y,zの対称式という(p.35, 55 参照)。 学 業の左取を また,x+y+z, xy+yz+zx, xyz をx, y, zの基本対称式といい,x,y,zの対称式は, これら基本対称式を用いて表されることが知られている。 例えば, 次の等式が成り立つ。 Motor tx²+y²+z²=(x+y+2)²-2(xy+yz+zx) x3+y+=(x+y+2) ³-3(x+y+z)(xy+yz+zx)+3xyz MS

(C)に当てはまる単語を選び形を変えて入れる問題です。入る単語はlookで、回答はlooksでしたがなぜlookedがダメなのかが分かりません。理由を教えて欲しいです。

d times ir way in the early morning hours. Another concern has to do with the cost implications of delaying school start - an ever-present issue in the age of increasingly tight school budgets, and decreasing tax revenues. The move could lead to a range of initial up-front costs, with budget-watchers worried most ( 2 ) costs/associated with changing bus schedules and additional lighting for athletic fields because after-school activities would be pushed later in the day. However, our recently released research for the RAND Corporation ( B ) that delaying school start times to 8:30 a.m. could actually result in significant economic statewide benefits that would be realized within a matter of years. Over the span of about a decade, the United States could stand to make financial gains of around $83 billion if teenagers were able to get more sleep. In California alone the financial gains would be just over $10 billion. Within even two years, most states would break even in terms of the initial costs of the move versus the economic benefits. These gains are based on a macroeconomic model that ( C ) at two key effects of better-rested teens: improved academic performance and reduced motor vehicle crashes. In terms of academic performance, research published ( 3 ) the apt title

1単語1単語品詞分解＋動名詞あるいは不定詞が出てきた時にそれは名詞・形容詞・副詞的用法のどれなのかも教えてくださいください！

135 In many ways, riding a motorcycle is quite different from ( to drive a car 3 driving a car JETLY 2 you drive a car when driving a car 136 My mother complains of ( ) too lazy. 2 I being 3 me to be my being live and wo 9014 ). <東海大 > いつつもり 137 I (am / been / part / this / of / having / proud of) team. are proud of having been part of this 138 I am ashamed ( ①not of having been 3 of having not been Point 046 北海学園大 ) kind to the old woman on the train. skeco 2 of having been not ④of not having been 139 (a) It is useless to try to overtake them. <日本大〉 〈日本女子大 〉 to overtake them. 〈神戸松蔭女子学院大〉 (b) It is (no) use (frying) to overtake them. 654 140 (a) It is no use discussing this matter with them. of jon ) in discussing this matter with them. stiloqmimDIOT (b) There is ( ①no point 2 no problem 3 no difference no more <> 41 彼を待ってもむだなようだ。 tu 10) se of EET There (in/be/ appears / sense/to/no) waiting for him. appears to be no sense in ASE 027円 〈近畿大>

この問題が分かりません。教えてください🙇‍♀️

Read the situations and write sentences with should I shouldn't. Some of the sentences are past and some are present. 1. I'm feeling sick. I ate too much. I shouldn't have eaten so much. 2. That man on the motorcycle isn't wearing a helmet. That's dangerous. He should be wearing a helmet.er 3. When we got to the restaurant, there were no free tables. We hadn't reserved one. We mezo di bozz VEC 4. The sign says that the store opens every day at 8:30. It is 9:00 now, but the store isn't open yet. 5. The speed limit is 30 miles an hour, but Kate is driving 50. She 6. Mai gave me her e-mail address, but I didn't write it down. Now I can't remember it. I 7. I was driving right behind another car. Suddenly, the driver in front of me stopped, and I drove into the back of his car. It was my fault. 8. I walked into a wall. I wasn't looking where I was going. word adz

添削お願いします🙇‍♀️

年度 英語 15 [II] Write (VI) opinions. Write your answer in about 100 English words, not counting punctuation marks. Mr. John Spence's opinion on e-bikes My electric bike is one year old on Thursday, and it was a 75th birthday present. I have only ever been a casual cyclist, but had given my old bike away, as my creaky knees combined with living at the top of a hill-meant that I rarely used it. But with my e-bike I feel so empowered. It is so easy to get around to do a few errands that it often seems quicker than using a car and having to find parking. If anyone is tempted by the idea, I strongly recommend giving it a try. Ms. Liz Ormond's opinion on e-bikes Mr. Spence's enthusiastic praise for e-bikes omits any reference to pedestrians. There is no mention that they are more dangerous than other bikes. Can he tell us what 19 OC DE BESLOT ACAI BESI TE OF 0.8. safety studies have been done in relation to pedestrians, particularly in shared space, and what discussions have been held with organisations such as the Royal National Institute of Blind People? Also, since the motors are effective enough to propel bikes loaded with shopping and children, what effect would the additional weight have in a collision with a pedestrian? (Adapted from "Wheels of fortune: the pros and cons of e-bikes," The Guardian, May 19,2020)

青丸のitsは何を指していますか？

For many athletes with disabilities,/ 障がいのある多くの運動選手にとって wheelchairs are their legs/ and/ are そして 車いすは彼らの足です important tools.// 重要な道具です Ishii Shigeyuki,/a motorcycle racer and 2 石井重行さんはオートバイのレーサーで the founder of OX ENGINEERING,/started オーエックスエンジニアリングの創立者 (である) to make his own wheelchairs/after he got 彼自身の THE 車いすを作り始めました 彼がけがを injured/in an accident.//* Later,/his company したあと ある事故で 3 のちに 彼の会社は began selling its oniginal wheelchairs.// 独自の車いすを販売し始めました Each athlete has different physical 4 それぞれの運動選手には異なる身体の conditions and playing style.// OX 状態やプレースタイルがあります 5 ENGINEERING's wheelchairs are made オーエックスエンジニアリングの車いすは作られています to fit each athlete's needs.// The company 各選手の必要に合うように その会社は finely adjusts wheelchair parts/after the 7 車いすの部品を細かく調整します sales.// These wheelchairs strong supports/ for many 支えになっています disabilities.// 運動選手にとって 6 販売後に have become これらの車いすは強力な athletes with 障がいのある多くの OS

下から二段目→下から一段目の式変形が何をやっているのかわかりません。また−1)}となってるところがありますが、ここの中括弧はどこからどこを閉じてるんでしょうか

- lll 088 898 EAN DEMOTORS 329 一般頃が分 n=k+1 のとき, ①, ② より {ƒk+1(x)}² — (x² − 1){gr+1(x)}²___ = {xfx(x) + (x²-1) g(x)}² — (x² − 1){ƒk (x) +xgx (x)}² = x² {f(x)}²+2x(x²-1) f(x) gr (x)+(x²-1)² {gn (x)}² AL-(x²-1)[{f(x)}² + 2xfx(x) gr (x) + x² {gn (x)}²] = {x² - (x²-1)}{fx (x)}² Action O2 = = {ƒk (x)}² − (x² −— 1)}{gk(x)}² = 1 よって, ③ は n = k+1 のときにも成り立つ。 FIRS + {(x² − 1)² − x²(x² − 1)}{gk (x)}² n=kのとき成り立つと 仮定した式と同じである

一枚目は合ってるか、二枚目は分からないので教えてください。

2 Forming the tense 動詞を正しい時制にする。 Put the verbs into the correct tense. 1 Lisbet's parents weren't born (not born) in the US. 2 Lisbet and her family goles) every day. (go) to the beach 3 In the picture, Lisbet is surfing (surf) at the beach. 4 Junichiro's father works (work) in I.T. to work 5 "I'm going (work) for my father after the course," says Junichiro. 6 In the picture, Junichiro is sitting (sit) on his motorcycle. 7 Marina doesn't work (not work) with Tomás. 8 "I am acting (act) in a production of Hamlet next year,” says Tomás. 9 In the picture, Tomás and Marina are walking (walk) by the river.

3〜6番と18番の答えお願いします。答えがないので教えて欲しいです。早めにお願いしたいです。

英単語/句動詞 (26点) 1. She decided to her career goals. A) turn down B) turn up C) turn around D) turn out the job offer because it wasn't the right fit for 2. When baking the cake, she accidentally an important ingredient. A) leave off B) leave for C) leave up to D) leave out 3. His strong leadership skills will A) make for B) make out C) make up for D) make up his mind 4 the success of the project. 4. While exploring the old library, she dusty shelf. A) come up with B) come around C) come across D) come about a rare book hidden behind a the bad weather, the team continued to play their best. 5. A) Due to B) Because of C) Despite D) Owing to the difficulties they faced, they still managed to finish the project 6. on time. A) Nonetheless B) However C) Though D) Therefore 7. Before making a decision, it is important to A) disregard B) consider C) neglect D) overlook 8. She decided to A) buy B) sell C) trade D) return the dress she had been eyeing for weeks. all the available options. 9. The company experienced a high rate of due to the stressful environment. in their workforce

教えてください

7 次の図でxの大きさを求めよ。 (1) (2) B B 132° 35° エ 18 次の図で, ∠xの大きさを求めよ。 (1) A 8 (2) B IC B O (S) MOTOR SON HAD A で 73° 53° 0 -A1--15- (3) D B to 01 (3) B 0. F 57° 115° x D 34° C