40. Name the congruent triangles in the diagram? 1. m & y 2. 20 3. a. 2000in2 4.
Write assignment statements that perform the following operations with the variables a,b,c A. set b=a+2 B. set a=b*2 C. set b=a/3.14 D. set a=b-8 4. Assume the variables result, w,x,y, and z are all integers and that w=5, x=4, y=8, and z=2. What value will be stored in result in each in of the following statements? A. Set result = 4+8 B.
The diagram below shows the graph of y = –x . 2 y O x (–3, k) y = –x2 The point (–3, k) lies on the graph. Find the value of k. 1 6. C B 12 cm A 1 1 In triangle ABC, AB = 12 centimetres, sin C = 2 and sin B = 3 . Find the length of side AC.
Identify if the order triple (1, 2,3) is a solution of the given system of equations. 3x 5 y z 16 7 x y 3z 4 x 5 y 7 z 10 4. Identify if the system of equations given below has unique solution, infinitely many solutions, or no solution. 2 x 5 y 16 3x 7.5 y 24 5. Given is the augmented matrix of a system of equations: 1 5 6 2 7 1 3 5 1 5 7 13 Write the new form of the augmented matrix after the following row operations.
11 11. The roots of the quadratic equationare a) real, rational, and equal b) real, rational, and unequal c) real, irrational, and unequal d) imaginary 12. Express the roots of the equationin simplest a + bi form. 13. For which value of k will the roots ofbe real?
0.4 m = ____4_____ cm Determine the correct metric volume: 4. 1300 mL = ____1.3_____ L 5. 8.01 L = ___8010______ mL Determine the correct metric weight : 6. 0.6 mg = ___600______ mcg 7. 40 mg = ___0.04______ g 8.
Then use the multiplication principle and then use the elimination method: 3x=8y+11 x+6y-8=0 9. A vending machine contains nickels and dimes worth $14.50. There are 95 more nickels than dimes. How many nickels and how many dimes are there? 10.
[2] iii) Find the equation of the circle. [2] iv) The line y + 5x = 8 cuts the circle at A and again at a second point D. Calculate the coordinates of D. [4] v) Prove that the line AB is perpendicular to the line CD. [3] 5. Find the angle ( and the length x in the triangle shown below. [7] 6.
24. (x + 4)(x + 6) 27. (t − 4)(t − 9) 25. (a − 5)(2a − 6) 28. (n + 8)(2n − 7) 26.
There are two types of special right triangles: 45-45-90 and 30-60-90. The legs on a 45-45-90 triangle are 1 and 1 and the hypotenuse is the square root of 2. The legs on a 30-60-90 triangle are 1 and the square root of 3 and the hypotenuse is 2. If you were to take the three trigonometric functions of either 45 degree angle, you would get the (square root of 2)/2 for both cosine (x) and sine (y) and 1 for tangent (y/x). If you were to take the three trigonometric functions of the 30 degree angle, you would get the (square root of 3)/2 for cosine, ½ for sine and the (square root of 3)/3 for tangent.