Answer: The correct line is
Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:
We are to select one of the lines from above that represent three equivalent expressions.
We can see that there are three different forms of a quadratic expression in each of the lines:
First one is the simplified form, second is the factorised form and third one is the vertex form.
So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.
We have
and
So,
Thus, Line 1 contains three equivalent expressions.
Now,
and
So,
Thus, Line 2 does not contain three equivalent expressions.
Hence, Line 1 is correct.
Answer:
volume = 10.2 in³
Step-by-step explanation:
r = 2.7/2 = 1.35
volume = 4/3πr³ = 4/3(3.14)(1.35³) = 10.2 in³
Answer:
Step-by-step explanation:
Area = (17×35) - (6×15) = 595 - 90 = 505 ft²
Answer:
240cm²
explanation
Diagonal ²=Length ²+breath ²
26²=10²+length ²
676=100+length ²
576=length ²
length=24cm
Area of a rectangle=length×breath
Area=24×10
=240cm²