Answer:
3
Step-by-step explanation:
Answer: 7 and 8
<u>Step-by-step explanation:</u>
Let x represent the first number, then x + 1 is the other number.
(x)² + (x + 1)² = 113
x² + x² + 2x + 1 = 113 <em>expanded (x + 1)²</em>
2x² + 2x + 1 = 113 <em>added like terms</em>
2x² + 2x - 112 = 0 <em>subtracted 113 from both sides</em>
x² + x - 56 = 0 <em> divided both sides by 2</em>
(x + 8) (x - 7) = 0 <em>factored polynomial</em>
x + 8 = 0 x - 7 = 0 <em>applied zero product property</em>
x = -8 x = 7 <em> solved for x</em>
↓
not valid since the restriction is that x > 0 <em>(a positive number)</em>
So, x = 7 and x + 1 = (7) + 1 = 8
Answer:
Sector A sector C sector D correct answers
<h3>
Answer:</h3>
These steps <em>can</em> be used:
- combine -6 and 4
- combine 15 and -3
- multiply 2 by x and -2
<h3>
Step-by-step explanation:</h3>
The equation could be solved as follows:
2(x -6 +4) = 15 -3 given
2(x -2) = 15 -3 combine -6 and 4
2(x -2) = 12 combine 15 and -3
2x -4 = 12 multiply 2 by x and -2
2x = 16 add 4 to both sides
x = 8 divide both sides by 2
_____
<em>Alternate solution</em>
At step 4, you could have
x -2 = 6 divide both sides by 2
x = 8 add 2 to both sides