Answer:
Option 3,5 are under first expression and Option 1,2 are under second expression.
Step-by-step explanation:
1). 






2). 




3). 



4). 




5). 

6). 

Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
_____
Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Answer:
50 and 90
Step-by-step explanation:
(180-40)/(5 + 9) = 10
=> 50 and 90
<span>12 5/25 = 12 1/5
hope it helps</span>
Answer: 12 cups
Step-by-step explanation:
Number of slices in a cake = 8 slices
Number of cups of icing used by each slice = 1/3
Number of cups of icing for each cake will then be:
= 1/3 × 8
= 8/3
= 2 2/3 cups of icing
If she plans to bake 4 1/2 cakes, the number of cups of icing will she use will be:
= 4 1/2 × 2 2/3
= 9/2 × 8/3
= 72/6
= 12 cups of icing