3b^2 - x = -9b^2
x = 3b^2 +9b^2
x = 12b^2
3b^2 -12b^2 = -9b^2
hope this will help you
Answer:
Explanation:
1. By driving 6 miles each, the cars will be 6 miles + 6 miles = 12 miles appart.
2. When one car stops and the other car makes a 90° left-hand turn and drive 8 miles, you can model the situation with a right triangle, where one leg is 12 miles, the other leg is 8 miles, and the hypotenuse is the distance that separates the cars.
Hence, you must use Pythagoras to find that distance.
3. Pythagoras
- hypotenuse² = leg₁² + leg₂²
- hypotenuse = (12 mile)² + (8 mile)² = 144 mile² + 64 mile² = 208 mile²
, which is rounded to the neartest tenth of a mile.
We are given a line with the following data:
r-value = 0.657 (r)
standard deviation of x-coordinates = 2.445 (Sx)
standard deviation of y-coordinates = 9.902 (Sy)
We are asked to find the slope of the line up to 3 decimal places.
To find the slope of the line, based on the data that we have, we can use this formula:
slope, b = r * (Sy / Sx)
substitute the values to the formula:
b = 0.657 * ( 9.902 / 2.445 )
Solve for the b.
Therefore, the slope of the line is
b = 2.66078, round off to three decimal places:
b = 2.661 is the slope of the line.
Based on her results, if she flipped the coins another 50 times, she should expect to flip heads 20 times. If Jessica flips a coin 100 times and gets 40 times heads and the next time she flips a coin 50 times she should get 20 because, 100 divide 2 is 50 so you would have to divide 40 with 2 and get the answer of 20.
The height of an oak tree (which depends on the age of the tree) is 100
