Answer:
y≥-4 or (-4,∞)
Step-by-step explanation:
To find the length of the sides of this parallelogram, we just have to calculate the length of each side and then proceed to find the perimeter.
The perimeter of the parallelogram is 13 units.
<h3>Perimeter of a Parallelogram</h3>
To calculate the perimeter of a parallelogram, we need the values of the length of the sides. However, if we have the details of two opposite sides, we can find the perimeter of the parallelogram because opposite sides are equal.
The perimeter of MNOP can be calculated as
We can substitute the values into the equation and solve
The perimeter of the parallelogram is 13 units.
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Πr^2=area 9=r 9^2=81π=254.47
<span>A set of data that is made of two paired variables is called bivariate data. This simply means 2 variables exist in the data. Both of them are usually linked to each other. As one variable changes value there is a proportionate change in the other value. However sometimes one value may remain constant while the other changes.</span>
Answer:
a = -3
Step-by-step explanation:
Solve for a:
2 (a + 5) - 1 = 3
Hint: | Distribute 2 over a + 5.
2 (a + 5) = 2 a + 10:
(2 a + 10) - 1 = 3
Hint: | Group like terms in 2 a - 1 + 10.
Grouping like terms, 2 a - 1 + 10 = 2 a + (10 - 1):
(2 a + (10 - 1)) = 3
Hint: | Evaluate 10 - 1.
10 - 1 = 9:
2 a + 9 = 3
Hint: | Isolate terms with a to the left hand side.
Subtract 9 from both sides:
2 a + (9 - 9) = 3 - 9
Hint: | Look for the difference of two identical terms.
9 - 9 = 0:
2 a = 3 - 9
Hint: | Evaluate 3 - 9.
3 - 9 = -6:
2 a = -6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 a = -6 by 2:
(2 a)/2 = (-6)/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
a = (-6)/2
Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.
The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:
Answer: a = -3
