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E K.
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Pre-Calculus
TutorMe
Question:

1)Solve for q. q^2=-100. 2)Use Pascal's Triangle to complete the expansion of (v+w)^6. (v^6)+6(v^5)w+15(v^4)(w^2)+_____(v^3)(w^3)+15(v^2)(w^4)+6v(w^5)+(w^6) 3)Solve using the quadratic formula: k^2 – 4k – 5 = 0

E K.
Answer:

1)10i & -10i 2)Use Pascal's Triangle to expand (v+w)6. Look at the coefficients in row 6. Row 0, (a+b)^0: 1 Row 1, (a+b)^1: 1 1 Row 2, (a+b)^2: 1 2 1 Row 3, (a+b)^3: 1 3 3 1 Row 4, (a+b)^4: 1 4 6 4 1 Row 5, (a+b)^5: 1 5 10 10 5 1 Row 6, (a+b)^6: 1 6 15 20 15 6 1 we can see that the other coefficients are filled in, but we're missing the 20. 3) The quadratic formula is: x=(-b±sqrt(b^2-4ac))/2a k=(-b ±sqrt( b^2 – 4ac))/2a k= -(-4) ± sqrt((-4)^2 – 4(1)(-5))/2(1) Plug in a = 1, b = -4, and c = -5 k=(4 ± sqrt(16 + 20))/2 Multiply k=(4 ± sqrt(36))/2 Add k=(4 + sqrt(36))/2 or Split ± into + or - k = (4 - sqrt(36))/2 k = (4 + 6)/2 or Take the square root k =(4 – 6)/2 k= 5 or k = -1 Simplify

Music
TutorMe
Question:

1) Legato means _____? 2)What expressive term refers to 'in a singing style"? 3)What two terms mean "gradually getting quieter"?

E K.
Answer:

1)Smoothly 2)cantabile 3)decrescendo & diminuendo

Algebra
TutorMe
Question:

1)Solve for d. -12d = -11d – 19 2)Solve for q in terms of r, s, t, and u. tu=-srq 3)What is the radius of the circle x^2+y^2–1=0?

E K.
Answer:

1) Solve for d. -12d = -11d– 19 +11d +11d -1d=-19 *-1 *-1 d=19 2)Solve for q in terms of r, s, t, and u. tu = -srq /sr /sr (tu/sr)=q 3)What is the radius of the circle x^2+y^2–1=0? The equation of a circle in standard form is: (x–h)^2+(y–k)^2=r^2. The center is (h,k). The radius is r. So if we match the problem to the equation, we get: x^2+y^2=1 sqrt(1)=1 radius=1

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