# michaelcai

 Nombre de usuario michaelcai Puntuación 417 Stats Preguntas 81 Respuestas 11

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### In right triangle $ABC$, we have $AB = 10$, $BC = 24$, and $\angle ABC = 90^\circ$. If $M$ is on $\overline{AC}$ such that $\overline{BM}$ i

michaelcai  18-nov-2017
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### evaluate infinite geometric series:

michaelcai  14-nov-2017
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### In right triangle $ABC$, we have $\angle BAC = 90^\circ$ and $D$ is on $\overline{AC}$ such that $\overline{BD}$ bisects $\angle ABC$. If $A michaelcai 13-nov-2017 +2 25 1 +417 ### In triangle$PQR$, we have$\angle P = 90^\circ$,$QR = 20$, and$\tan R = 4\sin R$. What is$PR$? michaelcai 13-nov-2017 0 30 1 +417 ### Evaluate the sum michaelcai 13-nov-2017 0 23 1 +417 ### What is the positive difference between the sum of the first 20 positive even integers and the sum of the first 15 positive odd integers? michaelcai 13-nov-2017 0 26 2 +417 ### An infinite geometric series has first term$328$and a sum of$2009$. What is its common ratio? michaelcai 13-nov-2017 0 23 2 +417 ### The two values of$x$that satisfy the equation$35x^2 - 51x + 18 = 0$can be written as simplified fractions$\dfrac{a}{b}$and$\dfrac{c}{

michaelcai  13-nov-2017
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### In triangle $ABC$, we have that $E$ and $F$ are midpoints of sides $\overline{AC}$ and $\overline{AB}$, respectively. The area of $\triangle michaelcai 12-nov-2017 0 31 1 +417 ### Points$A$and$B$have the same$y$-coordinate of 13, but different$x$-coordinates. What is the sum of the slope and the$y$-intercept of michaelcai 11-nov-2017 0 45 2 +417 ### For what negative value of$k$is there exactly one solution to the system of equations michaelcai 06-nov-2017 +1 55 4 +417 ### The values of the four variables$a$,$b$,$c$, and$d$are 9, 11, 13, and 15, though not necessarily in that order. What is the number of p michaelcai 06-nov-2017 +1 44 3 +417 ### Find the largest real number x for which there exists a real number y such that x^2 + y^2 = 2x + 2y. michaelcai 06-nov-2017 0 54 1 +417 ### The line$y = (x - 2)/2$intersects the circle$x^2 + y^2 = 8$at$A$and$B$. Find the midpoint of$\overline{AB}$. Express your answer in michaelcai 06-nov-2017 0 39 3 +417 ### A circle is tangent to the$y$-axis at the point$(0,2)$and passes through the point$(8,0)$, as shown. Find the radius of the circle. michaelcai 06-nov-2017 0 37 1 +417 ### The values of the four variables$a$,$b$,$c$, and$d\$ are 9, 11, 13, and 15, though not necessarily in that order. What is the number of p

michaelcai  03-nov-2017