Ts option A
cos C = (b - x) / a
a cos C = b - x
x = b - a cosC
4 x^2 + 20 x + 25 = 7
Divide both sides by 4:
x^2 + 5 x + 25/4 = 7/4
Write the left-hand side as a square:
(x + 5/2)^2 = 7/4
Take the square root of both sides:
x + 5/2 = sqrt(7)/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
x = sqrt(7)/2 - 5/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
Answer: x = sqrt(7)/2 - 5/2 or x = -5/2 - sqrt(7)/2
1,2,4,6,7 that’s is the answer
Answer:
81
Explanation:
[(2^2) (3^4) (12^3)]/[(2^5) (6^3)]
Whenever you have a number that can be separated into parts you can and give the same exponent:
[(2^2) (3^4) (2^3x2^3x3^3)]/[(2^5)(2^3x3^3)]
Whenever you multiply two terms with the same base, you can add the exponents:
=[(2^8)(3^7)]/[(2^8)(3^3)]
Take both 2^8’s out
=(3^7)/(3^3)
Whenever you have two exponents with the same base divided you just subtract the exponents:
=3^4
=81
The answer is 81