9^1/3 * 3^x = 27^4/5
Rewrite 9 as 3^2
(3^2)^1/3 * 3^x = 27^4/5
Multiply the exponents in the first term:
3^2/3 * 3^x = 27^4/5
Use power rule to combine exponents:
3^(2/3 +x) = 27^4/5
Rewrite the 2nd term:
3^(2/3 +x) = (3^3)^4/5
Set the exponents only to equal:
2/3 + x = 3(4/5)
Solve for x:
simplify the right side:
2/3 + x = 12/5
Subtract 2/3 from both sides:
x = 26/15
Answer:
4√6
Step-by-step explanation:
The line marked x meets the base of the isosceles triangle at its midpoint, so dividing the triangle into two congruent right triangles with leg 5 and hypotenuse 11.
The Pythagorean theorem can be used to find x:
5² + x² = 11²
x² = 121 -25 . . . . . . subtract 25 from both sides of the equation
x = √96 . . . . . . . . . take the square root
x = 4√6 . . . . . . . . . simplify the radical
It is very important to read the question very minutely and then it would be easy to reach a logically correct solution. It is important to note that "y" is greater than or equal to 12 and y is considered as all real numbers. Then we can mathematically represent this situation as
y <span>≥ 12</span>
Thank you kind sir
The purpose of life is to learn and pass on what you have learned. We all started out a cell. That cell then became two. All throughout time people have learned and passed
on their knowledge. There is no real purpose to life except to learn and then pass on. From birth to death we learn and pass it on and in years, later on, we will know more and more. Never stopping this cycle. Until we know too much and the world ends from the power and fighting of the powers of human exists.
Answer:
y=x+9
Step-by-step explanation:
2+9=11,4+9=13,5+9=14,9+8=17,12+9=21