Answer:
Step-by-step explanation:
Steps Property
x(1 + y) + y(2 + x) Given
x + xy + 2y + xy Distributive property
x + xy + xy + 2y Commutative property of addition
[a + b = b + a]
x + (xy + xy) + 2y Associative property of addition
[(a + b) + c = a + (b + c)]
x + 2xy + 2y Combine like terms
Answer:
2.5
Step-by-step explanation:
By the perpendicular bisector theorem
M + b = 67
b = 4m - 8
m + 4m - 8 = 67
5m - 8 = 67
5m = 67 + 8
5m = 75
m = 75/5
m = 15 <=== Maggie's age
b = 4m - 8
b = 4(15) - 8
b = 60 - 8
b = 52.....her brother is 52
Answer:
Combination
Step-by-step explanation:
Here by 10C7 we actually mean, 
And the formula for evaluating mCn is

Therefore
10C7 =

Where m! is called m factorial and can be evaluated as
m!= m*(m-1)*(m-2)*(m-3)*.......3*2*1
Hence
10!= 10*9*8......*3*2*1
7!= 7*8*6.....3*2*1
3!=3*2*1
With these we can evaluate
10C7

Hence the answer is D