Given: w²+9=6w [0, 3, 6, 9]
We need to substitute each number for w and find which works
Sub Zero: 0²+9=6×0
Simplify: 9=0. 9 does not equal 0, so it is not 0
Sub Three: 3²+9=6×3
Simplify: 9+9=18
Addition: 18=18
The statement 18=18 is true, therefore we have our answer.
Answer: The second option is correct. 3 would be the correct number to substitute to make the equation correct.
5. the numbers are being multiplied by 4 each time, so the geometric sequence would be
an= 1/2(4) ^(n-1)
6. the numbers are being multiplied by 1/4 each time, so the geometric sequence would be
an= 32(1/4)^(n-1)
an in the formula is what ever term in the sequence.
32 or 1/2 is the a which is the first term in the sequence.
4 or 1/4 is the r in the sequence because it is the common ratio so what the equation was multiplied by to get the next term.
(n-1) is because when you are using this equation to solve for whatever term (an) you must subtract the first number in the sequence to get an accurate number
an you can input whatever number when trying to solve.
The answers are 
and 8 · 8 · 8
Explanation:
The volume of a cube or space a cube occupies is calculated by multiplying the length, height, and width. Additionally, because in a cube all sides are equal in length, the formula for volume is V= 
. According to this, if the side length is 8 inches the volume can be represented as 
or V= 8 · 8 · 8 because the symbol · represents multiplication. Also, this can be solved as V = 512 cubic inches. This makes the following options correct: and 8 · 8 · 8.
So 7 x = x2 -18 so you get the quadratic x^2 -7x -18 and then get 2 x -9= -18 and 2 + -9 = -7 so you get (x + 2) ( x - 9) so the positive solution would be x-9 = 0 so x= 9. Hope this helps :)
The legs of a triangle with a hypotenuse that measures 15 units long have lengths that are equal to 15 times the sine or cosine of the given angle.
leg 1 = (15 units) x (cos 19) = 14.18 units
leg 2 = (15 units) x (sin 19) = 4.88 units
The lengths of the legs are 14.18 units and 4.88 units.
