Answer:
4) x^10
Step-by-step explanation:
1) If two numbers have the same base (i.e. x^3 and x^4) and you are multiplying them you just add the exponents. Therefore x^3*x^4 would be x^(3+4) which equals x^7.
2) When dividing similar bases you have to subtract the exponents. If we have x^18÷x^8 that is equivalent to x^(18-8) which gives us x^10.
3) If we have (x^3)^3 we will need to multiply the exponents. Therefore (x^3)^3 is equivalent to x^(3*3) which gives us x^9.
4) (x^2*x^4)^4÷x^8
First do what's in the parentheses,
(x^2*x^4) = x^6
Next do the exponents,
(x^6)^3 = x^18
Lastly the division,
x^18÷x^8 = x^10
x^10 is our answer.
Answer:
Yes, twice
Step-by-step explanation:
The equation will intersect the x-axis when y = 0, so we have
x² - 4x = -3 now solve this quadratic for x...
x² - 4x + 3 = 0
factor...
(x - 3)(x - 1) = 0,
so at x = 1 and x = 3, the function crosses the x-axis
See the graph below
Step 1. READ THE QUESTION CAREFULLY!!!!!!
Step 2. Turn the problem into equations.
Step 3. Substitute/Eliminate variables.
Step 4. Find the first variable.
Step 5. Replace the variable1 with its correct number.
Step 6. Get your variable2.
Step 7.Do steps 3-4 until you have all the variables.
Step 8. Double check.
And you are done!
Answer:
120
Step-by-step explanation:
Here, we want to get the possible value of A
Now, we should understand that the value of an angle in triangle cannot be more than 180
Also, cosine can only be negative in the second and the 3rd quadrant
So,
arc cos (-0.5) = 120 , 300 , 60
But 60 is not correct as it will give a negative value
300 is not correct also as it is more than the angles present in a triangle
Thus, our answer is 120
