解き方を教えてください

5(Jantl - 次の和Sを求めよ。 S=4·1+7-2+10·2°+ s

このso thatはどんな意味ですか？

Growing up as a young boy in Scotland, Alexander Graham Bell showed a unique talent for music. Though he ( 4 ) this path through to a career, Bell changed his mind and followed in his father's footsteps. His father wás a famous teacher of speech communication. Bell becanme a teacher himself, first of music, then of speech communication. At the same time, Bell pursyed his other love, inventing, by-experimenting with the mechanics of Speeth using both Triends and his dog as súbjects. In 1870, when he was 23 years old, Bel and his family sailed from Scotland to Canada to escape the tuberculosis epidemic* that had already killed Bell's two brothers. While his parents remained in Canada, Bell moved to the ている 2ん0 United States to teach. He continued to experiment with his jnterest, electricity. He dreamed of being able to transmit speech, so that people' around the world could ですた。 てる 5 )the spoken word. Bell and his assistant, Tom Watson, achieved their first success in 1875. After many アシスタント Tu 11 成ェや 1に experiments, they were able to invent the telephone. On March 7, 1876, Bell and Watson succeeded in( 6 )inseparate rooms across a small わけ hallway. Later that year, Bell made the first Iong-distance telephone call, overa distance of 16 ゴーク ilometers, to his father while on vacation in Canada. Thanks to his invention, we can nov communicate and share information with people all over the world.

点Hを求めてから、OHの長さは何の公式を使って求めているんですか？

ア8 志と直線の距離 18- 点4をlの距離 (1番起くなる、豊道になるところう C18 *1 a *1 (例 2*す+に0と頂点○の距離o 3x-24:0 LO 直線otlo便きをmueする 通線又の傾きは,34こ一コメー 3 dcotl い方 ofIefり mx 2 -1 3 deoft 3 ms 2 、か 243) 直線oHlはこx 3メ-24-0 2 x2 c-スを 2*x+324=ー4-2 うと-2.34 :0 OF/ *3 原点を通って いるから切片かてない 1にンぶり Aeをtっ) X ニ 2マダ 3.-4.2-24-0 てか ニ 213 -43 2イタン 14 ちH42 141 4.3 213.23 4。 J3 13

Whichの後に名詞のdrinkをおくのっておかしいですか？

0her Studentsinthe clos. (高知学芸) (4) My mother likes tea better than coffee, (下線部が答えの中心となる疑問文に) Which. dkink.does. my.mother.like better. Tea or cotee. 69

難しくて分かりませんでした！ 解説お願いします！

東意 さこを一1お開宝不 て同じ用法のものを選べ] They made loud noises to frighten the dog away. O They advised him to accept the offer. (②I have never known her to tell lies. YT 「基本 合融る 3 He worked very hard to support his family. でOI have lots of things to do. 回 済開下 o S (8 ) ob oa (A To1) ai t1 Cotidyti

（2）が、なぜwhich ではなくwhereになるのかがわかりません💦　どういう違いがあるのかも教えていただけると嬉しいです

[適語選択]空所に入る最も適切なものを, 下から選んで番号で答えなとい。 A (1) This is the reason ( ) makes it impossible for us to get access to* tha → 079 (北里) (1 document. 2 why that 4 for which 1 for 3 (2) This is the cottage* ( beautiful scenery*. ) our family spent the winter enjoying th → 083 (高崎経済大 の whose 2 what which 4 where

この問題の証明が分からないので教えてください💦 2問とも分からないです💦

O 次の等式を証明せよ。 » Co + 3, Ci +3°, C2 + ……+3"-1, Cn-1 +3",Cn = 4" nCi n C。 n Cot 2 » Cn 2" 3 n n 2° ニ 2

この問題の証明が分からないので教えてください💦

ただ その等式が成り立つことを示せ。 G 22 3二項係数の関係式 n G-今 2" ト二項定理において, a=1, b=x とおいた式式 (1+x)*=, Cot°+» C,x'+» Cax?+ tn Cn-1xn-1 +»Cnx" を利用する。

なぜ赤丸のように考えられるのですか？ 公式ですか？

基本 例題5 二項係数と等式の証明 (1) k,C=Nカー1C&-1(n22, k=1, 2, (2)(1+x)”の展開式を利用して, 次の等式を証明せよ。 (ア) Co+,Ci+»C2+………+,C,+………+,Cn=2" (イ)Co-,Ci+ C2-……+(-1)",C,+…………+(-1)",C»=0 (ウ) Co-2,Ci+2°,C2-……+(-2)",C,+… +(-2)",C,=(-1)" n)が成り立つことを証明せよ。 p.11 基本事項4 n! 指針>( C,= r!(n-r)レ 利用して, knCa, nnー1Ch-1 をそれぞれ変形する。 (2)(ア)二項定理(6.11 基本事項4)において,a=1, b=xとおくと (1+x)"=,Co+,Cix+.Czx°+…+,C,x"+……+,Cnx" 等式のと,与式の左辺を比べることにより,①の両辺でx=1 とおけばよいことにタ づく。同様にして,(イ),(ウ) では xに何を代入するか を考える。…… 』 解答 つこやの n! 1) kCk=k!(n-k)! =n* An!=n(n-1)! 合楽役箱 1ァー1C&-1=n =n (k-1)!{(n-1)ー (k-1)}! kC=n-1C&-1 2)二項定理により,次の等式①が成り立つ。 したがって すべてのxの値に対して成り立つ。 (1+x)”=,Co+»C.x+»C2x°+………+Crx"+………+,Cnx" (ア) 等式ので, x=1とおくと よって Co+,Ci+,C2+……+,C,+…+Cn=2" (イ) 等式ので,x=-1とおくと よって Co-Ci+,C2- +(-1)",C,+…+(-1)",Cn=0 千文人n (ウ) 等式ので,x=-2とおくと (1-2)”=,Co+»C(-2)+»C2·(-2)°+………+,C,.(-2)"+………+,Cn°(-2) Co-2,C;+2°,C2-…+(-2)",C,+……+(-2)",C»=(-1)" よって 三考かを素数とするとき,(1)から この式は,C が必ずかで割り切れることを示している。 R,C&=Do-iCk-1(p22; k=1, 2, ……, p- 人n干民 次の等式が成り立つことを証明せよ。 Ci」nC2 2? 東習 a(S式)3[1 5 +(-1)"aCa_ 1 2 2" 2" X . (2) nが奇数のとき Co+C2+……+,Cn-1=』Ci+Cs+………+.Cn=2" CotSet……+,Cn=nCi+»Ca+……+,Cn-1=2"- nが偶数のとき

日本語に訳して貰えませんか？ お願いします。

At noon of one Sunday, Ms. Parsons heard her husband park the car outside the house and then went to speak to him. “What's the matter ?” he asked. “Our son Scott has made a great mistake," she said. “Francis, one of Scott's friends, rang him up about half an hour ago. Scott started talking with Francis and he asked him to Come and have lunch with us this afternoon." “Wcll, that's nothing to worry about, isn't it ?" Mr. Parsons said. “We will have a. pleasant afternoon. We haven't seen him for ages." “Of course I'd like him to come," said Ms. Parsons, “but Ive just found that there's little food. You forgot to buy some ice cream and eggs, didn't you ? I asked you to get some on your way home from work three days ago." “Ice cream and eggs ?” Mr. Parsons said. “Oh, I just remember now. As a matter of fact, I did get some. But it's on the back seat of my car. It's been there for the past three days !"