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kondor19780726 [428]
2 years ago
12

A line segment has the endpoints Q(0, -6) and R(-8, 10). Find the coordinates of its midpoint.

Mathematics
1 answer:
miv72 [106K]2 years ago
4 0

Answer: Your Answer is the point (-4,2)

Step-by-step explanation: Trust me bro its 100000% right

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Work out the formula of the nth term in the following quadratic sequence:<br> 19, 15, 9, 1...
Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference.  Let's verify that.

n          1   2   3   4

f(n)       19  15  9   1

1st diff   -4  -6  -8

2nd diff     2   2

We see that we got a constant second difference.  We could just extend that and work back up to get more values.

n          1   2   3   4       5    6      7

f(n)       19  15  9   1      -9   -21   -35

1st diff   -4  -6  -8   -10  -12   -14

2nd diff     2   2    2     2    2

That's just an aside; we're after the general formula.  We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an²  + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c =  9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly.  Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0
3 years ago
The product of two factors is x2+ 6x + 8. If one of the factors is (x + 4), what is the other factor?
ch4aika [34]
(x + 4) (x + 2)
=x^2 +2x + 4x + 8
=x^2 + 6x + 8
the other factor is (x + 2)
6 0
3 years ago
−2 1/6 divided by 1 1/4<br> 100 points
galina1969 [7]

Answer:

  • -1 11/15

Step-by-step explanation:

<u>−2 1/6 divided by 1 1/4:</u>

  • -2 1/6 ÷ 1 1/4 =
  • - 13/6 ÷ 5/4 =
  • - 13/6 × 4/5 =
  • - 26/15 =
  • -1 11/15
8 0
3 years ago
Read 2 more answers
What is the variance?<br> What is the standard deviation, rounded to the nearest whole number?
Dmitry [639]

Answer:

What is the variance? 84000

 What is the standard deviation, rounded to the nearest whole number? 290

5 stars if this helped  

Step-by-step explanation:

8 0
3 years ago
Given RS = 6, ST = 3, and SL = 4, find SM.
NemiM [27]
A² + b² = c²
3² + 4² = c²
9 + 16 = c²
C² = 25
C = 5
so
SM = 5
7 0
3 years ago
Read 2 more answers
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