Answer:
slope= 11
Step-by-step explanation:
(12,23) = (x1,y1)
(14,45) = (x2,y2)
Now,
slope(m)= (y2-y1)/(x2-x1)
=(45-23)/(14-12)
=22/2
=11
Answer:
The volume would be 470
Step-by-step explanation:
First do the first half of the shape 8 times 4 times 10 and get 320
Second do the second half of the shape 3 times 5 times 10 and get 150
150 plus 320= 470
If the slope of the red line is one, the slope of the green line is also one. That's because parallel lines have the same slope.
Answer:
5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4
Step-by-step explanation:
The Associative Property is applied to two types of operations: addition and multiplication. This property indicates that, when there are three or more terms in these operations, the result does not depend on the way in which the terms are grouped.
In this sense, the associative property for the sum is mathematically given by:

and for the multiplication by:

Now, let:

Using the Associative Property of Multiplication:

Therefore the equivalent expressions are:
5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4