Prove: The square of the sum of
two consecutive integers is odd.

?=1

first and second blank=2

Step-by-step explanation:

To prove this statement.

Let's take an example:

1^2 + 2^2

=> 1 + 4 = 5

=> 5 = odd number.

We first took two consecutive integers  1, and 2. Then, we squared both the numbers to get 1 and 4. Lastly, we added these numbers to get 5, which is a odd number.

Another example:

-9 + (-10)

=> -9^2 + (-10)^2

=> 81 + 100

=> 181 = odd number

So this statement is correct.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation: