Answer:
2x² + 13x + 15
Step-by-step explanation:
| 2x | 3
x | 2x*x = 2x² | 3*x = 3x
5 | 2x*5 = 10x | 3*5 = 15
We have, 2x² + 3x + 10x + 15
Combining like terms, we would have the final expression as:
2x² + 13x + 15
Answer:
33+12t−21t^2
Step-by-step explanation:
(2t-7)²-(5t-4)²
Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².
4t^2−28t+49−(5t-4)²
Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².
4t^2−28t+49−(25t^2−40t+16)
To find the opposite of 25t^2
−40t+16, find the opposite of each term.
4t^2−28t+49−25t^2−40t+16
Combine 4t^2 and −25t^2 to get −21t^2.
−21t^2−28t+49+40t−16
Combine −28t and 40t to get 12t.
−21t^2+12t+49−16
Subtract 16 from 49 to get 33.
−21t^2+12t+33
Swap terms to the left side.
33+12t−21t^2
I hope this helped!
Answer:
36.4mi
Step-by-step explanation:
The boat sailed two legs of a right-angled triangle.
The distance from the starting point is the hypotenuse of the triangle.
d = √(35² + 10²)
= √(1225 + 100)
= √1325
= 36.4 mi
Answer: 5.53
Step-by-step explanation:
this is a straight forward addition
2.5+3.03 =5.53
to be clear or to specify, use the decimal point to make the sum:
2.5 = 2 + 0.5 and 3.03 = 3 + 0.03
2+3= 5 and 0.5 + 0.03 = 0.53
5 + 0.53 = 5.53 (but this is to long just to make it clear)
