23.

By completing the square, solve

x^2 + 12x - c=0

where c is a positive constant.

Give your answers in surd form in terms of c.

You must show your working.

Which of the following equations can be a harmonic on a string that is 10 cm long? Select all that apply. (three correct answers) A.) y=2sin (pi/5 x) B.) y=2sin (2pi/7 x) C.) y=2sin (pi/10 x) D.) y=2sin (10pi x) E.) y=2sin (5/2pi x)

Name the property shown by each statement. 6 + 4 = 4 + 6 a. Associative Property of Addition c. Distributive Property b. Commutative Property of Addition d. Identity Property of Addition

Can you figure out the missing number in this sequence?

The sum of the measures of two interior angles of a triangle equals 60°. What is the measure of the third angle? A. 40° B. 90° C. 100° D. 120°

3. The library has 38 boxes of new books to unpack. Each box has 61 books in it. The librarian wants to know about how many total new books there are to unpack. Stacy says there are about 2,400 books to unpack.

Amber has 19 coins that are dimes and quarters. If they are worth $3.70 then how many dimes and quarters does she have?

How to solve an equation with variables and absoulte value symbols?

Daniel kicks a soccer ball up in the air with an initial upward velocity of 64 ft. per second. The ball is 2 ft. above the ground when it is kicked. The following function represents this situation: - 16x2 + 64x + 2.

Carmen begins her next painting on a rectangular canvas that is 82.7cm long and has an area of 8137.68 cm2. Will the painting fit in a frame with an opening that 82.7cm long and 95cm wide

According to the data, what would the population be in 2010? [Note: The function is P (t) = (200) (1.01223) t. A) 367,274 B) 367,987 C) 368,254 D) 368,640 Year 1960 1975 1990 2005 2020 (est.) Population P (t) 200,000 240,000 288,000 345,600 414,720