Domain is the values of x. x is from -5 to 7, it includes -5 ([ ] is the include symbol, but doesn't include 7, so C is the answer
Answer:
See explanation
Step-by-step explanation:
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
Answer: each of two complex numbers having their real parts identical and their imaginary parts of equal magnitude but opposite sign.
Step-by-step explanation:
Answer:
5 9/14
7 1/2
Step-by-step explanation:
a) 4 1/7 + 1 1/2= 4+ 1/7 +1 +1/2 = 5 + 1/7 +1/2 = 5+ 2/14 + 7/14= 5 + 9/14= 5 9/14
b) 4 1/2 ÷ 3/5 = 9/2 ÷ 3/5 = 9/2 *5/3= 3/2*5= 15/2= 7 1/2
![\bf{1) \ x^4-61x^2+900=0 }](https://tex.z-dn.net/?f=%5Cbf%7B1%29%20%5C%20%20x%5E4-61x%5E2%2B900%3D0%20%7D)
Applying the factorization method, for example:
![\bf{ 0=(x^2)^2-61(x^2)+900=(x^2-36)(x^2-25)}](https://tex.z-dn.net/?f=%5Cbf%7B%200%3D%28x%5E2%29%5E2-61%28x%5E2%29%2B900%3D%28x%5E2-36%29%28x%5E2-25%29%7D)
![\bf{\\ &=(x+6)(x-6)(x+5)(x-5); }](https://tex.z-dn.net/?f=%5Cbf%7B%5C%5C%20%26%3D%28x%2B6%29%28x-6%29%28x%2B5%29%28x-5%29%3B%20%20%20%20%7D)
![\bf{ x_1=6 \quad x_2=-6 \quad \ \ \ x_3=5 \quad x_4=5 }](https://tex.z-dn.net/?f=%5Cbf%7B%20x_1%3D6%20%5Cquad%20x_2%3D-6%20%5Cquad%20%5C%20%5C%20%5C%20x_3%3D5%20%5Cquad%20x_4%3D5%20%20%7D)
![\bf{2) \ x^4-25x^2+144=0 }](https://tex.z-dn.net/?f=%5Cbf%7B2%29%20%5C%20%20x%5E4-25x%5E2%2B144%3D0%20%20%7D)
Applying the factorization method:
![\bf{0&=(x^2)^2-25(x^2)+144=(x^2-16)(x^2-9) }](https://tex.z-dn.net/?f=%5Cbf%7B0%26%3D%28x%5E2%29%5E2-25%28x%5E2%29%2B144%3D%28x%5E2-16%29%28x%5E2-9%29%20%7D)
![\bf{ =(x-4)(x+4)(x-3)(x+3); }](https://tex.z-dn.net/?f=%5Cbf%7B%20%3D%28x-4%29%28x%2B4%29%28x-3%29%28x%2B3%29%3B%20%7D)
![\bf{ x_1=4 \quad x_2=-4 \quad x_3=3 \quad x_4=-3 }](https://tex.z-dn.net/?f=%5Cbf%7B%20x_1%3D4%20%5Cquad%20x_2%3D-4%20%5Cquad%20x_3%3D3%20%5Cquad%20x_4%3D-3%20%20%7D)