Answer:33/9
Step-by-step explanation:
Log10(x+3)-Log10(x-3)=1
Log10((x+3)/(x-3))=1
(x+3)/(x-3)=10^1
(x+3)/(x-3)=10
Cross multiply
x+3=10(x-3)
Open brackets
x+3=10x-30
Collect like terms
10x-x=30+3
9x=33
Divide both sides by 9
9x/9=33/9
x=33/9
Answer:
x = 10.3 in
Step-by-step explanation:
To find the value of a, use the area formula for a triangle. The formula is A = 1/2 *b*h. Here b = x and h= x. The formula becomes A = 1/2 *x². Substitute A = 53 and solve for x by using inverse operations.
A = 1/2x²
53 = 1/2x²
106 = x²
√106 = x
10.3 = x
Number of boxes = 11
1 box = 6 bags
11 boxes = 6 x 11
11 boxes = 66 bags
1 bag = 45 marbles
66 bags = 45 x 66
66 bags = 2970 marbles
Answer: The shop ordered 2970 marbles.
The index of radical expression is the number indicating which root (square root, cube root, etc.) is meant.
If there's no index on the radical expression, then it's assumed to be square root.
(3, 5pi/3) = (3cos 5pi/3, 3sin 5pi/3) = (1.5, -2.6)
