Answer:
10x^3 - 2x^2 -7
Step-by-step explanation:
To subtract polynomials, you want to subtract the biggest exponent from the first polynomial to the second
so 6x^3 + 4x^3 and that would be 10x^3
then -3x^2 + x^2 and the negative is larger so it would be -2x^2
and finally -2 + -5 and that is -7
hope this helps! :)
Answer:
• x = 9
• y = 6√2
Step-by-step explanation:
The right triangles are all similar, so the ratios of hypotenuse to short side are the same:
27/x = x/3
x^2 = 81 . . . . . multiply by 3x
x = 9 . . . . . . . . take the square root
Then y can be found from the Pythagorean theorem:
x^2 = y^2 + 3^2
81 - 9 = y^2 = 72 . . . . . subtract 9
y = √72 = 6√2 . . . . . . .take the square root
The values of x and y are 9 and 6√2, respectively.
Using the cosine double angle formula,

(Note I took the positive case since
terminates in the first quadrant)
Using the Pythagorean identity,

(Note I took the positive case since
terminates in the first quadrant)
Answer:

Step-by-step explanation:
We need to solve the quadratic equation
6 = x^2 -10x
Rearranging we get,
x^2-10x-6=0
Using quadratic formula to solve the quadratic equation

a= 1, b =-10 and c=6
Putting values in the quadratic formula

So, 
Hi,
75/150 is 1/2 which turns into 0.5 as a decimal.