Answer:
I do know that y = 3 and that x = -2, so any system that has that solution is correct.
Step-by-step explanation:
Multiplying the second equation by -2 and adding the equations will cancel out the x variable. The remaining equation is:
10y = 30. Therefore, y must be 3. Substituting y in for the first equation, we get:
6x + 6 = -6. That means x must be -2. I checked my work with the second equation:
-6 - 12 = -18.
The system results in a true statement, so the answer is y = 3 and x = -2.
Answer:
Part a) 
Part b) 
Step-by-step explanation:
we have
60 rev/min
Part a) Find the angular speed in radians per minute
we know that
One revolution represent 2π radians (complete circle)
so
To convert rev to rad, multiply by 2π
Part b) Find the linear speed in inches per minute
we know that
The circumference of a circle is equal to
we have
----> given problem
substitute
Remember that
One revolution subtends a length equal to the circumference of the circle
so
To convert rev to in, multiply by 16π
Hey there!
ORIGINAL EQUATION:
1/2y + 1 = 2
SUBTRACT 1 to BOTH SIDES:
1/2y + 1 - 1 = 2 - 1
CANCEL OUT: 1 - 1 because it give you 0
KEEP: 2 - 1 because it help solve for the y-value
NEW EQUATION: 1/2y = 2 - 1
SIMPLIFY IT!
1/2y = 1
MULTIPLY 2 to BOTH SIDES
1/2y * 2 = 1 * 2
CANCEL out: 1/2 * 2 because it give you 1
KEEP: 1 * 2 because it give you the y-value
NEW EQUATION: y = 2 * 1
SIMPLIFY IT!
y = 2
Therefore, your answer is: y = 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
50%
OR
1/2
Step-by-step explanation:
The box and whisker plot shows the time spent from 4 to 6 hours is Quartile 1 to 3 which makes it 50%.
Perimeter of a square = 4s = 20ft
s = 20/4 = 5 feet
New length = 5 + 2 = 7 ft
New width = 5 - 1 = 4ft
New perimeter = 2(7 + 4) = 2(11) = 22ft
