Answer:
The first one
Step-by-step explanation:
Make 3x+6 into 3(x+2)
Separate x²+5x+6 into (x+2)(x+3)
Cross out both x+3
6x÷3
Put x+2 together to make (x+2)²
How can I solve this ?
2 answers:
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The first term will be 3 and the sum of the first 9 terms will be 81.
<h3>What is Arithmetic progression?</h3>The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Given,
Six terms as 10.5
So,
a₆ = 10.5
Common difference(d) = 1.5
The nth term of an AP is given by
= a + (n-1)d
So,
a₆ = a + (6-1)d
10.5 = a + 5(1.5)
a = 3
Now,
The Sum of n terms is given by
S = n/2[2a + (n-1)d]
S = 9/2[6 + 8(1.5)]
S = 81
Hence the first term will be 3 and the sum of 9 terms will be 81.
For more about Arithmetic progression
#SPJ1
(Volume for a rectangular shape is length x width x height)
We can split up this 3D composite figure into two main parts (as shown in the picture I attached), and find each part’s volume before adding them together for the total volume.
Cube —> 5x5x5 —> 25x5 = 125 in^3
Rectangular Prism —> 20x5x5 —> 100x5 = 500 in^3
125 + 500 = 625
So the answer is A. 625 in^3
Hope this helped! If I was correct, I’d appreciate it if you marked my answer as Brainliest.
We can split up this 3D composite figure into two main parts (as shown in the picture I attached), and find each part’s volume before adding them together for the total volume.
Cube —> 5x5x5 —> 25x5 = 125 in^3
Rectangular Prism —> 20x5x5 —> 100x5 = 500 in^3
125 + 500 = 625
So the answer is A. 625 in^3
Hope this helped! If I was correct, I’d appreciate it if you marked my answer as Brainliest.