We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
Answer:
I and IV are congruent and I I and III are congruent.
Step-by-step explanation:
Congruent figures must have the same shape and measurements. Hope this helps.
2.
0.05 miles
3.
a
4.
a
5.
1 Book for ever 10$
6.
28 MPH
Thats it!
Hope this helps
Answer:
Loss = 16.67%
Step-by-step explanation:
Assume cost price(CP) of 1 article = x
Therefore cost price of 25 articles = 25x
Given cost price of 25 article = selling price of 30 articles
Clearly, it is a loss.
Selling price(SP) of 30 articles = 25x

