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Elena L [17]
2 years ago
6

Graph the line that passes through the points (-1,-6) and (-8,8) and determine the equation of the line. ​

Mathematics
2 answers:
Ne4ueva [31]2 years ago
7 0

Answer: 2x - 7y - 40 = 0

Step by step explanation:

(-1,-6) (-8,-8)

Slope (m) = y-y/x-x

m = (-8- -6)/(-8 - -1)

m = 2/7

y-y=m(x-x). Use one of the points: (-1,-6)

y - - 6 = 2/7 (x - - 1)

y+6=2/7(x+1)

y+6=2/7x+2/7

Multiply both sides by 7

7y+42=2x+2

2x—7y-40=0

Standard form =

mojhsa [17]2 years ago
3 0

Answer:

y = -2x-8 ------> the equation of the line

Step-by-step explanation:

y = mx + b

8 = -2(-8)+b

  = 16 + b

-16      -16

-----------

-8 = b

y^2 - y^1 / x^2 - x^1

= 8-(-6) / -8-(-1)

= -14/7

= m = -2

Final answer: y = -2x-8

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Find the sum or difference. a. -121 2 + 41 2 b. -0.35 - (-0.25)
s344n2d4d5 [400]

Answer:

2

Step-by-step explanation:

The reason an infinite sum like 1 + 1/2 + 1/4 + · · · can have a definite value is that one is really looking at the sequence of numbers

1

1 + 1/2 = 3/2

1 + 1/2 + 1/4 = 7/4

1 + 1/2 + 1/4 + 1/8 = 15/8

etc.,

and this sequence of numbers (1, 3/2, 7/4, 15/8, . . . ) is converging to a limit. It is this limit which we call the "value" of the infinite sum.

How do we find this value?

If we assume it exists and just want to find what it is, let's call it S. Now

S = 1 + 1/2 + 1/4 + 1/8 + · · ·

so, if we multiply it by 1/2, we get

(1/2) S = 1/2 + 1/4 + 1/8 + 1/16 + · · ·

Now, if we subtract the second equation from the first, the 1/2, 1/4, 1/8, etc. all cancel, and we get S - (1/2)S = 1 which means S/2 = 1 and so S = 2.

This same technique can be used to find the sum of any "geometric series", that it, a series where each term is some number r times the previous term. If the first term is a, then the series is

S = a + a r + a r^2 + a r^3 + · · ·

so, multiplying both sides by r,

r S = a r + a r^2 + a r^3 + a r^4 + · · ·

and, subtracting the second equation from the first, you get S - r S = a which you can solve to get S = a/(1-r). Your example was the case a = 1, r = 1/2.

In using this technique, we have assumed that the infinite sum exists, then found the value. But we can also use it to tell whether the sum exists or not: if you look at the finite sum

S = a + a r + a r^2 + a r^3 + · · · + a r^n

then multiply by r to get

rS = a r + a r^2 + a r^3 + a r^4 + · · · + a r^(n+1)

and subtract the second from the first, the terms a r, a r^2, . . . , a r^n all cancel and you are left with S - r S = a - a r^(n+1), so

(IMAGE)

As long as |r| < 1, the term r^(n+1) will go to zero as n goes to infinity, so the finite sum S will approach a / (1-r) as n goes to infinity. Thus the value of the infinite sum is a / (1-r), and this also proves that the infinite sum exists, as long as |r| < 1.

In your example, the finite sums were

1 = 2 - 1/1

3/2 = 2 - 1/2

7/4 = 2 - 1/4

15/8 = 2 - 1/8

and so on; the nth finite sum is 2 - 1/2^n. This converges to 2 as n goes to infinity, so 2 is the value of the infinite sum.

8 0
3 years ago
Math Question:<br> Pls help I will do anything
kow [346]

Answer:

The probability of spinning red is \frac{1}{3}, the probability of spinning a 1 is \frac{1}{6}, the probability of spinning an odd number is \frac{1}{2}, and the probability of spinning a 9 is 0.

Step-by-step explanation:

Since there are a total of 6 possible outcomes, you can use this in the following questions. There are 2 red tiles, so the probability of spinning red is \frac{2}{6} or \frac{1}{3}. Since there are only one 1 tile, the probability of spinning a 1 is \frac{1}{6}. Since there are three odd numbers, the probability of spinning an odd number is \frac{1}{2}. Since there are no 9 in the spinner, the probability of spinning a 9 is 0 or never.

5 0
2 years ago
Is (1,-3) is a solution of the equation 8p-2q=14?
PSYCHO15rus [73]

Answer: YES

<u>Step-by-step explanation:</u>

  8p - 2q = 14

8(1) - 2(-3) = 14

8   -    -6   = 14

 8    +   6  = 14

       14      = 14

            TRUE

8 0
3 years ago
Read 2 more answers
Which exponential function is represented by the
Leno4ka [110]

Answer:

C, f(x) = 3(2)^x

Step-by-step explanation:

Since the y-intercept is 3, the function will have 3 multiplying by some number to the power of x.

As x increases by 1, we notice that y multiplies by 2 every time.

This leads us to believe that the equation is 3 * 2^x

8 0
3 years ago
The diagonals of an isosceles trapezoid are 3x + 7 and 5x – 11. What is the value of x?
Alja [10]
In a trapazoid the diagonals are the same so therefore the two equations equal echother

3x+7=5x-11  solve for x by combining like terms

18=2x  then divide to unto multiplication

9=x

9 is the value of x

I hope I've helped!
7 0
3 years ago
Read 2 more answers
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