Step-by-step explanation:
-5x + 4y = 2
+ (9x - 4y = 6)
=> 4x = 8, x = 2.
Therefore -5(2) + 4y = 2, 4y = 12, y = 3.
The solution pair is (2,3).
Answer:
568+567899675433235+453dtu
Answer:
Step-by-step explanation:
Given
See attachment for complete question
Required
Match equivalent expressions
Solving (a):
The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:
Solving (b):
The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:
Solving (c):
The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:
Solving (d):
The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:
Answer:
72
Step-by-step explanation:
One way to do this is to use the formula where and are the lengths of the two diagonals.
In the figure, and (2 + 10 and 6 + 6).
The area is square units.
Another way that doesn't depend on learning a formula is to remember that the diagonals of a kite are perpendicular, so the 4 small triangles are right triangles. Two of the smaller triangles have base =2 and height = 6, so their areas are 1/2(2)(6) = 6. Double that--there are 2 congruent small triangles--to get an area of 12.
There are two larger right triangles with base =10 and height = 6, so their area are 1/2(10)(6)=30. There are two of those, so their combined area is 60.
Finally, put the small triangle area and the large triangle area together to get a total of 12 + 60 = 72
Answer:
The sphere has a radius of 4cm
The diameter's length is twice the length of the radius
Step-by-step explanation: