Root and Shootはどうやって訳せば違和感ないでしょうか？

予習の問題なのですが、 分からないので教えていただきたいです。

(1) I a taxi, if I had realized that it was such a long way to the hotel. 1. would have taken 2. had taken 3. will have taken 4. will take (2) My father has just got home from Italy. He 1. seems to have enjoyed 3. seems to enjoy (3) If you take the fast train, it will cost 1. two more times 3. more than twice (4) When planting these flowers, 1. you must take care 3. care must be taken of 2. 4. his trip very much. has seemed to enjoy seems to be enjoying 2. twice as more 4. twice as much not to damage the roots. 2. flowers must be taken care 4. taking care of flowers is

紫で囲んだところのように因数分解するのはどのようにしているんですか？

DATE fied from flask) fond F HAR 200 接線に垂直な直線 (法線) 点Pでない方を点Qとする、ただし、a≠0 とする。 曲線 y=x 上の点P(a, α²) における法線と、この曲線の交点のうち, (1) 法線の方程式を求めよ. Focus *[+2² halos $195. 接点で接線と垂直に交わる直線を法線と呼ぶ. (詳しくは数学Ⅲで学習) 点P(a, f(a)) における法線の傾きをmとすると, 接線の傾きが f'(a) のとき、 m.f'(a)=-1 つまり、m=f'(a) 1 frase (2-0)² + $99 ← fram thar (A) (-x)(o=o)G (1) f(x)=x2 とおくと,f'(x)=2x TEL より, 点Pにおける接線の傾きは, f'(a)=2a したがって, 点Pにおける法線の傾きをとすると 1 m・2a=-1より, m = __ (a+0) したがって, (2) 点Qの座標を求めよ. 1 微分係数と導関数 Px-a- CHERE (2) 曲線 y=x2 と直線y=- 2つの曲線① 2式からyを消去して、x=-x+α'+- BROOTRAN (x-2)(x+a+ 2a となる. 1 2a 接線の傾き f'(a)(0) ini よって, 点Pにおける法線の方程式は, y-a²=-2 / (x=a) £ y₁=y=-2/x+ a² + ²/²/2 2a x+a+1/12 の交点は連立方程式を解いて 交点のx座標を求め り、 る。 左辺に移項して因数 分解 点Pも交点の1つで 2a>=あるから,x=αる第6章 解になっている. 点Qのx座標は =0 (D)(8-DS) 1_22_1 "2a' --- a²+- *** V 4a² 1-2のとき、y=(-a-2 2a ·+1 することから よって、点Qの座標は, (-a- 4a² 法線の傾き [接線] まず, 接線の傾きを 考える. ( 接線の傾き) (法線の傾き) =-1 361 ジュー 2a 6)- 02 1 1030 f']]

分かりません！！！ 助けてください！！ お願いします！！！ 英語です！！ 2枚目、3枚目は問題文です！！

weive 4 Use every word once to fill in the blanks. Give the correct forms. ebrow (The English Language-Where Did It Come From?) Ino I become begin borrow build call go invade remain stop use Julius Caesar (1. ) the island with his Roman army in 55 B.C. and named it Britain, but soon they (2. ) back to the Continent. In 43 A.D. the Romans invaded Britain again. They (3. ) strong towns and wonderful roads. During the 5th century the Romans left and the Angles and the Saxons invaded Britain and (4.) it Angle- land, or England. The people of Britain (5. ) to speak English. Then the Danes ) by King and the Vikings invaded the island from the north. The advance was (6. Alfred in 871, but the Danes (7. ) in the east and left many of their own words. ) Christians, so English (9.) Meanwhile, the Angles and the Saxons had (8. ) in the church. many words from Latin, which was widely (10. 7678 100 W mil nedW 4) 1) (9) 7) 5) 8) 6) 2) 3) 10)

写真の129(2)は、なぜ写真３枚目と同じような計算方法で解くと間違いになるのでしょうか？違いと、理由を教えて頂きたいです。

100本の中に10本の当たりがあるくじを, A,Bの2人がこの順に1本ずつ 引いたくじはもとに戻さないとき, 次の確率を求めよ。 (3) Aが当たりくじを引き, Bも当たりくじを引く確率 (2) Aがはずれくじを引いたとき, Bが当たりくじを引く確率 (1) Aが当たりくじを引いたとき,Bが当たりくじを引く確率 ROOT (4) Aがはずれくじを引き,Bが当たりくじを引く確率 が入ってい 代の中か 第1章 場合の数と確率

波線部分の訳は 会社は現在信じられないほど成功しているが、当初はショウザブロウが借りている40平方メートルの小さな工場を用いて、1ヶ月当たりたった5円のために生産していて、質素だった。 で合ってますか。おかしな所があれば、教えてください。

Shozaburo in Sakai City, in the south of Osaka. Although the company is now incredibly successful, its beginnings were more humble, with Shozaburo renting a small factory 40-square meters in size, for just five yen a month. In this factory, Shozab ine and it wasn't his own a lathe which he horrow

2枚目答えです。何もかもわからないです。よろしくお願いします。ピンクの線引いてある式がどうやったら出てくるのかが分かりません。

12 + 22 + 32 + ···+n² an = (1) lim an を求めよ。 (8点) 71 (n=1,2,3,...) とおくとき、以下の問いに答えよ。

214の回答がDになる理由がわかりません。 製品の安定需要という内容はどこから読み取れるのか教えてください

Samuels LAX, announced on Movey that it will spend $1 billion to build nylon production and processing facilities in Singapore to serve the Asia Pacific region. Construction of the 45,000-square- meter plant will take two years. When the factory is complete, it will employ over 500 workers and have an estimated annual production of 60,000 tons of nylon and nylon components. According to company spokesperson Michael Tan, the plant will be equipped with the same advanced technology used in Samuels plants in India and Canada, enabling the company to price its nylon competitively. The nylon products will be sold to 213. What is the purpose of the article? (A) To publicize new merchandise (B) To discuss a company's plans for expansion (C) To explain a problem with a product (D) To describe the layout of a factory 4 Part Part applications. companies throughout the region for use in various industrial textile The Asia Pacific market for nylon has remained strong over the last decade, with the majority of purchases coming from the automobile manufacturers, Samuels is hoping that the efficient production from the new factory will position it to become a leader in the market. It will face stiff competition from Haring Corporation, the current leader, and from several other large chemical companies that ship nylon products into the area from Europe and Africa. 214. According to the article, why did Samuels Ltd., choose to target the Asia Pacific market? (A) It can ship in products from its existing plants. (B) There is no competition in the region. (C) Raw materials are available locally. (D) There is a steady demand for the product.

11番の意味わかる人いますか。英語がわからないんじゃなくて何を説明してんのか謎です

11. Paula claims that whenever you square an odd integer, the result is an decision. odd number. Is her conjecture reasonable? Justify your 12. Ursula studied the diagonals of these rectangles to look for patterns. Make a conjecture about the diagonals of rectangles. What evidence supports your conjecture?

地質時代の出来事って例えばどんなことがあるんでしょうか？ "地球温暖化が問題になるまで"や"石炭ができた工程"も地質時代の出来事と言えるのでしょうか？