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Grace [21]
2 years ago
13

Find an equation for the line that passes through the points (6, -1) and (-6, 2).

Mathematics
1 answer:
kirill115 [55]2 years ago
7 0

Answer:

D : y = \frac{-1}{4}x + \frac{1}{2}

Step-by-step explanation:

let D be the line that passes through the points (6, -1) and (-6, 2)

Then D has an equation of the form D: y = ax + b

Now we need to find a and b in order to be able to write the equation of the line D:

a = \frac{-1-2}{6-(-6)}= \frac{-3}{12}= \frac{-1}{4}

Since the point (6 , -1) lies on the line D then :

-1 = (-1/4) × (6) + b

then

-1 = (-6/4) + b

then 

b = -1 - (-6/4) = -1 + 6/4 = -4/6 + 6/4 = (-4+6)/4 = 2/4 = 1/2

then

b = 1/2

Conclusion:

Since a = -1/4 and b = 1/2 then

D : y = \frac{-1}{4}x + \frac{1}{2}

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A

Step-by-step explanation:

The term being multiplied by x is the simplified slope. The number being subtracted/added to it is the y-intercept.

y=3x-6

   /\   /\

    |    |

slope |

      y-intercept

---

hope it helps

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3 years ago
A certain ferry moves up and down a river between Town A and B. It takes the ferry two hours to travel to Town A and only an hou
Sonbull [250]

Answer:

the Answer is 60 miles.

Step-by-step explanation:

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4 years ago
Read 2 more answers
A husband and wife have normal vision, although both of the couple's fathers are red–green color-blind, an inherited X-linked re
Mekhanik [1.2K]

Answer:

1/2

Step-by-step explanation:

Since the recessive gene is carried in the x chromosome and a father can only pass it to a daughter, the father doesn't have the disease nor carries it.

The mother carries the recessive gene because her father passed her his conditioned gene (only having one x chromosome), while her mother gave her a normal one so she can have normal vision.  

The chance of having a boy or a girl is 1/2 and the chance of this baby of having both recessive gene is null because in order to have a girl that is color blind both her x chromosomes must have the recessive gene, but the father can't pass it since he doesn't carries it. Therefore the combined probability is 1/2*(1-0) = 1/2.

7 0
3 years ago
50 POINTS
larisa [96]

Check the picture below.

how do we know?  well, notice h(t), starts off at 12, up up up reaches 47.84 then down down down, which is pretty much the trajectory of a flying object, by the time it gets to 44, is still going down.

now, let's look at g(t), starts off at 10, and goes up up up, never down, by the time it gets to 41, is still going up,

so at second 2, h(t) is 44 and going down, g(t) is 41 and going up, at 2.2 h(t) is 40.16, and g(t) is 44.1, between that lapse, h(t) became 44, 43, 42, 41, in the same lapse g(t) became 41, 42, 43, 44, so somewhere in those values h(t) = g(t).

what does the solution mean?  It's the seconds or the instant lapse when the first cannon ball was at the same height as the second cannonball.

3 0
3 years ago
25 POINTS HELP PLEASE! Complete the table and pattern. Determine the common difference. Write the explicit rule.
Cerrena [4.2K]

Answer:

See the answers below

Step-by-step explanation:

Nine

The first step is to find the common difference. That's found by using

<em><u>Common Difference</u></em>

t4 - t3

t4 = - 15

t3 = - 19

t4 - t3 = -15 - - 19

t4 - t3 = -15 + 19

t4 - t3 = 4

t1 = - 27 which is the first term.

<em><u>Explicit formula</u></em>

tn = a + (n - 1)*d

tn = - 27 + (n - 1)*4

t5 = -27 + (5 - 1)*4

t5 = -27 + 4*4

t5 = - 11

<em><u>Recursive</u></em>

tn = tn - 1 + 4

Ten

<em><u>Common difference</u></em>

t4 - t3

21 - 15

Common difference = 6

t2 = 33 - 6

t2 = 27

<em><u>Explicit formula</u></em>

tn = a + (n - 1)*d

tn = 33 + (n - 1)*6

<em><u>Recursive Formula</u></em>

tn = tn-1  + 6

There are too many answers between the 2 questions that the exact format can be followed and have it make sense. You are better off following each question and writing down the answers as you come to them.

3 0
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