Consider the vertices of parallelogram JKLM with vertices J(2,2) , K(5,3) , L(5,-3) and M(2,-4).
Perimeter JKLM = Length JK + Length KL + Length LM + Length JM
Length JK = (2,2) (5,3)
The length(or distance) between two points say
and
is given by the distance formula:

Now, length JK = 
=
units
Since, JKLM is a parallelogram. In parallelogram opposite sides are equal in length.
Therefore, LM =
units
Now, length KL = 
= 6 units
Since, JKLM is a parallelogram. In parallelogram opposite sides are equal in length.
Therefore, JM = 6 units
Perimeter of JKLM =
+
+ 6 + 6
= 2
+ 12
= 18.324
Rounding to the nearest tenth, we get
= 18.3 units.
Therefore, the perimeter of JKLM is 18.3 units.
Answer:
69
Step-by-step explanation:
If angle of a sector is 115
the central angle would be 115 also
as the arc measure is equal to the measure of its central angle
Answer:
see explanation
Step-by-step explanation:
Given
4
- 5a² + 1 = 0
Use the substitution u = a², then equation is
4u² - 5u + 1 = 0
Consider the product of the coefficient of the u² term and the constant term
product = 4 × 1 = 4 and sum = - 5
The factors are - 4 and - 1
Use these factors to split the u- term
4u² - 4u - u + 1 = 0 ( factor the first/second and third/fourth terms )
4u(u - 1) - 1(u - 1) = 0 ← factor out (u - 1) from each term
(u - 1)(4u - 1) = 0
Equate each factor to zero and solve for u
u - 1 = 0 ⇒ u = 1
4u - 1 = 0 ⇒ 4u = 1 ⇒ u = 
Convert u back into terms of a, that is
a² = 1 ⇒ a = ± 1
a² =
⇒ a = ± 
Solutions are a = ± 1 , a = ± 
I'm not going to say the answer because i want you to figure it out.
But here.
For Part A: There are 665 pounds of apples, 35 go in each box. You have to find out how many boxes there will be. How will you break apart 665 by 35? (Division) After that, you got your answer!
Part B: Just write down your answer from Part A.