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Mathematics

1 answer:

sesenic [268]3 years ago

7 0

The full sequence from 3 to 21 is...

3, 5, 7, 9, 11, 13, 15, 17, 19, 21

Now first add 3 and 5 to get 8. Then 8 and 7 to get 15. After, add 15 and 9 to get 24 and furthermore.

(24+11=35 --> 35+13=48 --> 48+15=63 --> 63+17=80 --> 80+19=99 --> 99+21=120)

So I believe the sum of the sequence is 120

I hope this helps!

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An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared

Bond [772]

Answer:

The other factor is (x + 2).

Step-by-step explanation:

If x - 10 is a factor of x^2 - 8x - 20 then we must find another factor that includes +2x, so that we have -10x + 2x = -8x. That factor is (x + 2):

x^2 - 8x - 20 = (x - 10)(x + 2)

As a test, multiply -10 and +2. We get -20, matching the constant of the given polynomial. Also, -10x + 2x = -8x, another match.

9 0

3 years ago

Read 2 more answers

What is the midpoint of a segment with endpoints at (−4, −8) and (8, 10)? A.(−6, −9) B.(−6, 1) C.(2, −9) D.(2, 1)

spayn [35]

$\text{The formula of the midpoint of segment AB:}\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right).\\\\\text{We have the points}\ A(-4,\ -8)\ \text{and}\ B(8,\ 10).\ \text{Substitute:}\\\\x=\dfrac{-4+8}{2}=\dfrac{4}{2}=2\\\\y=\dfrac{-8+10}{2}=\dfrac{2}{2}=1\\\\Answer:\ \boxed{D.\ (2,\ 1)}$