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Inessa [10]
3 years ago
7

What is the common difference of the arithmetic sequence? −10x, −7x, −4x, −x, 2x, 5x, ... A) −3x B) −3 C) 3 D) 3x

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
3 0

Answer:

  D)  3x

Step-by-step explanation:

The difference of adjacent terms is ...

  (-7x) -(-10x) = (-7+10)x = 3x . . . . the common difference

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Fill in the blank to make the expression a perfect square:
tigry1 [53]

Answer:

64

Step-by-step explanation:

So here you're just completing the square. the equation you gave is simply: n^2+16n+c where c is the unknown value we're solving for. Whenever you complete the square, you add (b/2)^2

The reason for this, is because whenever you write a binomial as a perfect square it's in the form: (x+b)^2 and this binomial expands out to become: x^2+2bx+b^2

If we write the second term of the binomial as b/2 we get:

(x+\frac{b}{2})^2=x^2+2(\frac{b}{2})x+(\frac{b}{2})^2

which simplifies to:

(x+\frac{b}{2})^2=x^2+bx+(\frac{b}{2})^2

and as you can see the last term is (b/2)^2, which is why we need to add that part for it to be a perfect square.

So we would need to add (16/2)^2 = 8^2 = 64

This way, we can express it as a perfect square binomial: (n+8)^2 which expands out to: n^2+2(8)(n)+8^2 = n^2+16n+64

7 0
2 years ago
Why is 743 a prime number
bonufazy [111]
743 is a prime number because it has no other positive divisors besides one and itself.
7 0
3 years ago
Is 648, 216, 72, 24 arithmetic or geometric
Vesna [10]
Arithmetic I'm pretty sure

7 0
2 years ago
What is the value of p?
Alex777 [14]
The answer is since the the angle on the inside of the triangle is 90 degrees by supplementary angles and the other angle that is not p is 47 degree, also by supplementary angles. Thus you take 90+47=137 and subtract it from 180 since that is is the total angle sum of a triangle and you get 43 degrees or answer b
6 0
3 years ago
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I am giving 50 points. I only need help with this last page! Please someone help me.
tia_tia [17]
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