これ2も有り得ると思うんですが

桑畑 信泰 駿台予備学校 全体で理解して 力投球で教壇に 代から30ヶ国以 を歩き、様々な とがこの上ない いる。 古梶 裕之 ......... 浅野学園 浅 納得して進 ちんとした答 こがら授業を展 はするもので ないと考えて [A] 等式x+y+52²-2yz-12=0 を満たす整数の組(x,y,z) をすべて求め (愛媛大) よ。 [B] α,xを自然数とする.x+x(+5)=0 を満たすa,xの組をすべて求め (京都教育大) 思考のひもとき Z= 0, ±1 Z²≤ 3 1.3X2+Y2+42°=12 (X,Y,Zは整数) ならば 3 1 p 2 pq=21 (p, g は正の整数)ならば, 21 9 7 [A] 3x²+y^+52²-2yz-12=0.① は 3x²+(y-z)2+4z²=12 ......1' と変形できる. ここで 3x20 (y-z)2≧0 だから、①'より 4z² ≤12 これを満たす整数zは z = 0, ±1 (i) z=0のとき, ①'は 3x²=-1₁ y ²³ - のとき4814に なってしまう、 20 320(20 ≦じにない :. z²≤3 :: |z|≤√3 SA Z≤+√3. 7 3 (i) z=±1のとき, ①'は 3x2+(y+1)^2=8 (複号同順) これを満たす整数x, y は存在しない。 3x28より x=0,1 f x=0のとき x2=1のとき 以上により、求める整数の組は ... 21 1 のいずれか. 3x² + y²=12 これを満たす平方数x,y2は (x², y²)=(1, 9), (4, 0) .. (x, y)=(1, 3), (1, −3), (−1, 3), (−1, -3), (2, 0), (-2, 0) -2もありでは? (y+1) 2=8 (y+1)^=5. (x,y,z)=(1,3,0),(-1,-3,0),(1,-3,0), (-1, 3, 0), (2, 0, 0), (-2, 0, 0) [B] x². をxについ x ここで, さ より X 0<b- の2

丸で囲んだところを教えてください！！！！

1) =((2n-1)+3² +1) (2) Sn=1+r+3·²+5•²+... +(2n-1)*) (A とする。 ① の両辺にを掛けて 7S = 1·²+3+³+... +(2n−3)r")+(2n − 1)r"+¹ .. ①② より (1-r) Sm =r+2.2²² +2.²³²+... +0+0+2+p" — (2n-1) - =r+2r²(1+r+r²+...+pm-2) +1 であるから 1+r+r²+ 4p²-2 1 (1-¹) 1-r (1-r) Sn 1-zn-1 =r+2r². -(2n-1)+1 1-r r(1-r)+2r²(1 − p−¹) − (2n − 1)r¹+¹(1−r) 1-r (2n-1)+2 (2n + 1)r²+¹ +r² +r 1- 学園 よって − 1)²+1 (2) 61 (1

十二番からの問題がわかりません！解説見ても… 教えて下さい😭😭

[2019 清教学園1 が整数になるような最も小さい自然数nを求めなさい。 56 13 [2016 清教学園] 3n+24 が整数となる最小の自然数nを求めなさい。 14 [2017 城西大学附属川越] 360 が整数となるような自然数nのうち、小さい方から2番目の数を求めなさい。 22 360 23×32×5 n

教えていただきたいです。 よろしくお願いします🙇‍♀️🙇‍♀️

3年 英語表現Ⅱ Engage 第10章 VQ 第18章 前置詞 They went fishing ( ) the river. 1 on 2 in 3 to 4 for 東海大 10 The session is to begin ( ) eleven in the morning. 1 from 2 in 3 on 4 at ** 11 Don't speak ( ) your mouth full. 1 with 2 on 3 after 4 in 山脇学園短大 12 I will place the book ( ) the table after I have finished reading it. aside 2 beside 3 besides 4 side 学習院大 13 This book is ( ) interest to those who like science fiction. 1 very such 3 of 4 with 西南学院大 14 Some students were ( ) the plan, and others against it. 1 to 2 over 3 for 4 of 15 They discussed the matter ( ) tea and cakes. by 2 for 3 over with 東京電機大 16 ( ) his many hours of study, he did not make much progress in German. Instead of 2 Because of 3 Despite 4 Besides tit

161~170の答えを教えていただきたいです。

og gniarow) 5 TYPE A Sdinom 1 ( 内に入る最も適当な語(句) を選びなさい。 (各1点 計20点) 161 ( ) a plant to flourish, it must have a good supply of light, water, and minerals. 4 That 3 Of (南山 1 For 2 If 162 I am glad ( ) you the other day. 2 to meet ave met 4 to be able to meet (**) 3 to have met t I can meet my and amod (bean Vot \ stad: ya8 soalq on ☐163 Then, in 1912, the self-starter came into use. Suddenly, cars were as easy ( as electric fans. 4 started ( 広島工業大 ) 3 starting 1 start 2 to start aM gedonet daily wo (bsalool 164 Ten years ( ) since Professor Yokochi retired from his job at the university, but he still often visits the campus. have passed (高千穂大) were passed 3 will pass 4 pass indigke TO MA it was fun. Y 165 Mary was ( ) to go to the party at first, but she found that it was 2 likely 1 pleasant 3 willing 4 reluctant (中央大) 166 When I went back to the village I ( JUSH 人外画商 ) ten years before, I found nothing 3161663UFCS changed. had left 2 was leaving 3 have left (跡見学園女子大) )( 4 you and ads of was left of natumim svit ( 291 167 Private universities in the U.S. are very expensive. Many parents cannot ( to send their children to such places. 1 buy dihom zis si il vero adinomi (亜細亜大) 4 afford 2 spend Let3 allow A bead 168 Without American influences, Japanese culture would not be ( ) it is today. J'abib od tady boog ton ai al t Jague 1 that 2 what 4 which H 3 when aniog noy va (関西学院大 ) nedoset adT ear 169 You may be able to avoid (o) the paper by attending the lecture tonight. 2 to have written 3 wrote 4 writing adf dartwor SHERY OF TOY 1 to write (関東学院大 Hawat 170 There are two major issues to be discussed here, ( ) the committee has examined yet. 1 both of that 2 either of which 3 neither of which 4 any of which (関西学院大

問題を解いてみたのですが不安なので答え合わせお願いします🙇🏻‍♀️💦 問題番号11~22です💦

6 10 第01章 時制 8 My parents ( ) for Boston next month. 2 leaving 3 are leaving left Please don't call me between 11:00 and 12:30. My young son ( 2 sleep has slept 4 has been sleeping 3 will be sleeping 10 Josh was ( ) to leave the room when Mary called him. 10 (神戸学院大) 3 already 2 almost 4 enough about PP.020 023 Section 3 I() all of my homework and now I am completely free until Friday 11 I am doing 2 am going to do 3 had done 4 have done 松山大) 12 I ( ) been to that new Italian restaurant, so I'm not sure how to get there. 12 I could have 2 have ever 3 have never 4 must have (愛知学院大) ) you? You have to get enough sleep if you want to stay 13 How many times ( healthy. 13 (立教大) ℗ am I telling 2 could I tell 3 have I told 4 will I tell 14 She() for almost an hour. I expect she'll soon be finished. 14 1 speaks 2 will speak 3 spoke 4 has been speaking (桜花学園大) 15 I) skiing in Nagano last month. 15 had been 2 have been 3 have gone (京都女子大) will leaving 4 went ) then. 第 01 章 時制 同意文 16 16 (a) I haven't eaten fish for nearly a month. (b) It's been nearly a month (4)) I last ate fish. 1 ago 2 before 3 after 4 since 17 ) World War II ended. It is passing seventy years before 2 It has passed seventy years since 3 Seventy years passed until 4 Seventy years have passed since 18 His mother () for two years. has been dead 2 has died 3 has dyed 4 is dead pp.024-025 Section 4 19 She () in Germany for three years when she got the job in England. had lived 2 lives 3 has lived 4 would live 20 He said that he () that book two years before. 1 wrote 2 should write 3 has written 4 had written ) when they called your number in the hospital? 21 How long ( 1 were you waiting 2 have you waited 3 had you been waiting 4 have you been waiting PP.024-027 Section 5 22 Last night, when I talked with my sister on the phone, she said () call me right back. 22 (松本歯科大) 4 she going 3 she will she had been 2 she would (佛教大) 17 (兵庫医療大 ) 1 1 18 (目白大) SANSU 19 (神奈川大) 20 (中京大) 21 (桜花学園大) 7

4択です！ わかる方教えてください！！

(6) 彼がその扱いに対して不平を言うのも当然である。(北海学園大) He( ) complain about the treatment. ①may の may as well ③ might as well の may well (7) You( )throw your money into the sea as lend it to such a person.(武庫川女子大) Omight as well ② will do well to 3 may well ④ will do better to (8) Travelers ( ) their reservations early if they want to fly during the holiday seasons.(青山学院大) O had better make 2 had better made had better to make ④ had to make better (9) 私は息子に私から独立してもらいたい。(高知大) )independent of me. I would like ( to be for my son my son to be の for my son to be O my son for being (10) Most young people would rather spend money than ( )itinthe bank.(センター) O putting 2 put ③ to put ④ having put (10)

8問選択問題です！わかる方いましたら解答お願いします🙇‍♂️

(7) The company is faced with ( ) costs of production. の growing 0 grow 2 to grow ③ grown (亜細亜大) (8) This is a road ( O running across the plain runs across the plain (関西外国語大) to running the plain across it の run the plain across (9) Do you know the number of people ( ) by the company? D employed 2 employer 3 employee の employ (昭和女子大) ) language. (10) He write well but he doesn't know much about the ( 3 spoken の to speak O speaking の speak (桐蔭学園横浜大) (11) I received a letter ( )in Spanish. O be written 2 to write 3writing の written (金沢工業大) (12) Many forest fires are caused by cigarettes ( ) out of cars. D are throwing 2 have thrown 3 throw の thrown (近畿大) (13) When we were at the beach last summer we went ( ) every day. D swim 2 swimming 3 swam の swims (摂南大) ei (14) It is not good to spend all of your time ( )TV. D to watch の to watching ③ watching のwatch (札幌大) baft

教えて頂きたいです。

12 一万円札と五千円札が合わせて19枚あります。次の問いに答えなさい。 (城南学園高) (1) 五千円札をすべて千円札に両替し,一万円札をすべて五千円札に両替したところ, 全部で59枚 になりました。最初に一万円札は何枚ありましたか。( 枚) (2) 続いて,この59枚のうちから,五千円札のうちm枚を一万円札に,n枚を千円札に両替した ところ,全部で 69 枚になりました。mをnを用いた式で表しなさい。m = (3) さらに,この69 枚のうちから, 一万円札を全部と五千円札の 3 を使うと,残りのお札は57 4 枚になりました。m, n の値を求めなさい。m= ( )n=( )

5番の問題の解説をお願いします

(埼玉) T19.類退下レ 1 正五角形の1つの内角の大きさを求めよ。 (宮崎 内角の和が1260°である正多角形の1つの内角の大きさは何度か。 口度である。 (福岡 つの外角の大きさが40度の正多角形の内角の和は 頂角が 150°の正多角形がある。 ゆこの多角形は何角形か。 この多角形には対角線が何本ひけるか。 (法政一高 (玉川学園高 コ角形である。 5 対角線の総数が35本あるような多角形は, 122 :