If I am reading the equations correctly, they are:
5x - 14 = 3x AND 7x + 12 = x - 6
If this is correct, the first one would be worked out like this:
5x (- 5x) - 14 = 3x (- 5x)
- 14 = - 2x
- 14 (/ - 2) = - 2x (/ - 2)
7 = x
The second would be worked out like this:
7x + 12 (+ 6) = x - 6 (+ 6)
7x + 18 = x
7x (- 7x) + 18 = x (- 7x)
18 = - 6x
18 (/ - 6) = - 6x (/ - 6)
- 3 = x
I hope this is what you are looking for :)
Answer:
y = 3x -5
Step-by-step explanation:
Use the slope-intercept form:
y = (slope)x + intercept
slope = 3
intercept = -5
Equation in slope-intercept form:
y = 3x -5
Answer:
Answer B: -30
Step-by-step explanation:
Let B be as follows:
[-18 3]
[4 1 ]
To find the determinant, multiply diagonally <em>downward</em> from -18 through 1, obtaining -18. We keep this sign as is.
Continue: Start at 4 and move diagonally <em>upward</em> through 3; this product is 12. Because we moved upward, give this result the opposite sign: -12.
Now add together these two products; that is, add together -18 and -12. Here the sum is -30. This is the determinant of the matrix. It's Answer B.
Finding the determinant of a 3x3 matrix obviously requires more steps, but the general approach is similar.
Answer:
v = 3.64 ft/s
Step-by-step explanation:
Given that,
Radius of a carousel, r = 18 feet
It takes 31 seconds to complete revolution.
We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.
d = 2πr
d = 2π × 18 = 113.09 feet
Let v is the linear speed. It can be given by :
So, the linear speed of the carousel is 3.64 ft/s.
