Answer:
15050
Step-by-step explanation:
Hello!
So basically, this arithmetic sequence follows the rule (3n-1). What you are looking for is the summation of (3n-1) with a lower limit of 1 and an upper limit of 100. This, plugging it into a calculator (etc. symbolab) or even calculating it manually, we get ∑↑100↓n=1⇒3n-1=15050.
A quadratic has the form ax^2+bx+c
To factor a quadratic you want to find two values, j and k, which satisfy two conditions...
j*k=a*c and j+k=b
In this case ac=-140 and b=4.
The only values possible are j=14 and k=-10
so jk=-140 and j+k=4 which are the conditions we needed to satisfy...
Now you remove the linear, or "b term", from the original equation and replace it with jx and kx... and in this case you will have:
-2h^2-14h+10h+70 now you can factor out the greatest common factor from the first pair of terms and the second pair of terms...
-2h(h+7)+10(h+7) which is equal to
(-2h+10)(h+7) and you can factor the first term again if you wish...
-2(h-5)(h+7)
The sum of angles inside a triangle is the sum of angles 1, 2 and 3, which form a straight line, therefore 180 degrees.
The sum of the exterior angles
angle exterior angle
1 2+3
2 1+3
3 1+2
total 2+3+1+3+1+2=2(1+2+3)=2(180)=360 degrees.
Answer:
Step-by-step explanation:
To express the given product (108 X 125) as a product of prime factors
Step 1: Express each of the numbers as a product of its prime factors.
Step 2: Write the product together, and combine any like terms if any
Therefore,
Answer: infinte
Step-by-step explanation:
