Given the three squares ABGH, BCFG and CDEF below, prove that 21+22 23 $2 Solve using...
Given: 21 and 23 are supplementary. Prove: а || b 3 alb 21 and 23 are supplementary. a. ? d. ? Supplements of the same are e._? b. ? Def. of linear pair 21 and 22 are supplementary. c. ? Which statement can be used in blank e? Converse of the same-side interior angles theorem O Converse of the corresponding angles postulate Converse of the same-side exterior angles theorem Given: 21 and Z3 are supplementary. Prove: a | b b...
3. (a) Let z1,z2, z3 € C, prove the following identity: (21 - 22)(22 – 23)(23 – £1) = (22 - 23)+23(23 – £1)+23(21 - 22). (b) In AABC, P is a point on the plane II containing A, B and C. Prove that aPA +bPB2 +cPC2 > abc.
numbers 21,23,25
Objective 2: Solve a Triangle Using the Law of Sines (SSA) Ambiguous Case For Exercises 21-28. information is given about AABC. Determine if the information gives one triangle, two triangles, or no triangle. Solve the resulting triangle(s). Round the lengths of sides and measures of the angles to 1 decimal place if necessary. (See Examples 3-5) 21. b = 33, c = 25, B = 38° 22. b = 5.c = 12, C = 73° 23. a =...
#23
22, Use the definition of limit to prove Theorem 3.5. 23. Use Theorem 3.5 to prove that lim x? cost(1/x)-0. In addition, give a proof of th result without using Theorem 3.5. THEOREM 3.5 Squeeze Theorem for Functions Let I be an open interval that contains the point c and suppose that f, g, except possibly at the point c. Suppose that g(x) s f(a) s h(x) for all x in I If limn g(x)-L = lim h (x),...
E Transversal AB DE bisects < CDF Prove: Z3 = 26 23. Given: rs Transversal 21 is a right 2 Prove: Z2 is a right Z Exercises 23, 26
For the triangle below, you are given the lengths of
two sides.
1. (15pts) For the triangle below, you are given the lengths of two sides, a=6 and b = 2. An angle a is shown, but its value is not given a) Use the triangle to find the exact values of the six trig functions at the angle a Sin a= Cos ar Csc a= Tan a= Sec a= Cot a= b) Use a calculator to find the values,...
20: Solve the system of equations using substitution method. 2x+5y=26 X+ y= 10 21: Solve the following equation. x-x1/2-6= 0 22: Solve the following system of equations, using elimination method. 2x+3y = 5 5x- y = 4 23: Solve the system of nonlinear equations. Any Method. Y?=x2-9 2y= x-3 24: Convert the log into exponent form. Ln (3x-5)2= 16 25: f(x)= 1/x in words explain the transformation of the following functions. a. g(x) = 1/ (x-3) +5 b. h(x)= -1/(x+2)...
9. (a) Let P1(21, 91, zı), P2 (22, 42, z2),P3 (13, 93, 23) be three non-collinear points in R, that is, three points which do not all lie on a straight line. Then the equations of the plane through these three points is: 2 y 21 1 = 0 22 Y2 22 1 2 1 2141 I3 Y3 23 1 Page 1 (b) Find the equation of the plane through P1(1,2,2), P2(1, 2, -1), P3(0,1,2)
2. Use least-squares regression to fit a straight line to r 6 7 11 15 17 21 23 29 29 37 39 29 21 29 14 21 157 13 03 Plot the data and the regression line using Matlab (submit plot). If someone made an additional measurement of 10. y 10, would you suspect, based on a visual assessment and the standard error, that the measurement was valid or faulty? Explain.
2. Use least-squares regression to fit a straight line...
numerical analysis
QUESTION 2 Consider the linear system 21 0.52 21 + 22 23 0.2533 23 0.2 -1.425 2 0.5.22 + whose solution is (0.9, -0.8, 0.7). (a) Determine whether the coefficient matrix is strictly diagonally dominant. (5)