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:
2.25
Step-by-step explanation:
2.4 - 0.15
Using place value :
2 = Unit (2 wholes)
4 = tenth place ( 4 tenths)
To subtract 0.15
0 wholes ; 1 tenth ; 5 hundredth
1 tenth can be split into 10 separate hundredths
Hence,
For 2.4
We have ;
2 wholes ; 3 tenths and 10 hundredths
Subtracting 0.15 ;0 wholes ; 1 tenth ; 5 hundredth
(2 - 0) wholes = 2 whole
(3 - 1) tenth = 2 tenth
(10 - 5) hundredth = 5 hundredth
Hence, the difference between (2.4 and 0.15) is :
2 whole ; 2 tenth ; 5 hundredth
Which is equal to : 2.25
Hope this helps! If there's any question then leave a comment.
Answer: Check attached image
Step-by-step explanation:
The biggest thing to remember for this question:
If a negative exponent is in the denominator, move the expression to the numerator and make the exponent positive