He's using the graduated cylinder method. I think the volume might be between 15 and 20. (It's kind of not obvious...)
Answer:
Step-by-step explanation:
Prove: That the sum of the squares of 4 consecutive integers is an even integer.
An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.
Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;
= 25
= 36
= 49
= 64
The sum of the squares = 25 + 36 + 49 + 64
= 174
Also,
Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;
= 100
= 121
= 144
= 169
The sum of the squares = 100 + 121 + 144 + 169
= 534
Therefore, the sum of the squares of 4 consecutive integers is an even integer.
Answer:
<u>f(g(x)) = 9x² + 15x + 2</u>
Step-by-step explanation:
- f(x) = x² + 5x + 2
- g(x) = 3x
<u>Solving f(g(x))</u>
- f(g(x))
- f(3x)
- f(3x) = (3x)² + 5(3x) + 2
- f(3x) = 9x² + 15x + 2
- <u>f(g(x)) = 9x² + 15x + 2</u>
Answer:
d.The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years.
Step-by-step explanation:
Answer:Obtuse-angled triangle
Explanation:Triangles can be classified based on the measures of their angles as follows:1- Right-angled triangle: Triangle that has one of its angles = 90°
2- Acute-angled triangle: Triangle that has all of its angles less than 90°
3- Obtuse-angled triangle: Triangle that has one of its angles greater than 90°
The attached image shows an obtuse-angled triangle. We can note that measure ∠B is greater than 90°
Hope this helps :)