Answer:2
Step-by-step explanation:
Slope = rise/run = (8-2)/(5-2) = 6/3 = 2
Answer and Explanation:
You got the first one right!
2. You do the same as you did for the first one: to combine the exponents, you multiple 2 by 9 = 18, and now 18 is your new exponent.
, which is the answer
3. Here, you can split up the inside so that you have:
, which is the answer
Hope this helps! Please give me brainliest if possible.
Answer:
Step-by-step explanation:
1. Divide the coefficients and the exponentials separately
2. Divide the coefficients
3. Divide the exponentials
Subtract the exponent in the denominator from the exponent in the numerator.
4. Re-join the new coefficient and the new exponential
5. Put the new number into standard form
The number before the power of 10 must be greater than or equal to one and less than 10.
Multiply the answer by 10/10.
Answer: the width of the uniform path is 9 meters.
Step-by-step explanation:
Let x represent the width of the uniform path.
A pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. It means that the combined length of the pool and the uniform path is (18 + 2x) meters and the combined width of the pool and the uniform path is (22 + 2x) meters.
If the area of the pool and the path combined is 1440 square meters, it means that
(18 + 2x)(22 + 2x) = 1440
396 + 36x + 44x + 4x² = 1440
4x² + 80x + 396 - 1440 = 0
4x² + 80x - 1044 = 0
Dividing both sides of the equation by 4, it becomes
x² + 20x - 261 = 0
x² + 29x - 9x - 261 = 0
x(x + 29) - 9(x + 29) = 0
x - 9 = 0 or x + 29 = 0
x = 9 or x = 29
Since the width cannot be negative, then x = 9 meters