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puteri [66]
3 years ago
10

how do you write the equation of a line with a slope of -2/15 that passes through the point ( - 5,5 )

Mathematics
2 answers:
prohojiy [21]3 years ago
8 0

point slope form

y-y1 = m(x-x1)

y-5 = -2/15(x--5)

y-5 = -2/15 (x+5)

change to slope intercept form

distribute

y-5 =-2/15x -10/15

y-5 = -2/15x -2/3

add 5 to each side

y = -2/15x -2/3 + 5

y = -2/15x -2/3 + 15/3

y = -2/15x +13/3

svetoff [14.1K]3 years ago
3 0
A lines equation is generally

mx+b

where m is the slope (-2/15)
and b is the y intercept

point: (-5,5)

y = mx +/- b

5 = -2/15 - 5 (plugging in)

multiply b by the numerator

5 = 10/15

multiply y by the denomenator

75/15 - 10/15

subtract ^

65/15 (4.33 when calculated)
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Answer:

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Step-by-step explanation:

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4 0
2 years ago
I NEED HELP ASAP ITS A QUIZ Jim's uncle is four times as old as his nephew Jim. In ten years, Jim's uncle's age will be twenty y
Dmitrij [34]

Answer:

Jim's uncle is 20 years old right now

Step-by-step explanation:

The number of times Jim's uncle is as old as Jim = 4 times

The age of Jim's uncle in 10 years = 20 + 2 × Jim's age

Let Jim's age = A, and Jim's uncles age = B;

Therefore, from the information in the question, we have;

B = 4 × A........................................(1)

B + 10 = 20 + 2 × A......................(2)

Therefore, by substituting the value of B from equation (1) into equation (2), we have;

B = 4 × A

∴ B + 10 = 20 + 2 × A, gives;

4 × A + 10 = 20 + 2 × A

4 × A - 2 × A  = 20 - 10 = 10

A × (4 - 2) = 10

2 × A = 10

A = 10/2 = 5

A = 5 years

Therefore, Jim's age = A = 5 years

Jim's age = 5 years

B = 4 × A = 4 × 5 years = 20 years

B = 20 years

Jim's uncles age = B = 20 years

Jim's uncles age = 20 years

Therefore;

Jim's uncle is 20 years old right now.

4 0
3 years ago
Jenna and Mike are given two points of a triangle, A(-2,-4) and B(8,6).
Taya2010 [7]

Answer: B) neither Jenna and Mike are correct.

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Suppose the number of insect fragments in a chocolate bar follows a Poisson process with the expected number of fragments in a 2
leonid [27]

Answer:

a)The expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b)0.6004

c)19.607

Step-by-step explanation:

Let X denotes the number of fragments in 200 gm chocolate bar with expected number of fragments 10.2

X ~ Poisson(A) where \lambda = \frac{10.2}{200} = 0.051

a)We are supposed to find the expected number of insect fragments in 1/4 of a 200-gram chocolate bar

\frac{1}{4} \times 200 = 50

50 grams of bar contains expected fragments = \lambda x = 0.051 \times 50=2.55

So, the expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b) Now we are supposed to find the probability that you have to eat more than 10 grams of chocolate bar before ending your first fragment

Let X denotes the number of grams to be eaten before another fragment is detected.

P(X>10)= e^{-\lambda \times x}= e^{-0.051 \times 10}= e^{-0.51}=0.6004

c)The expected number of grams to be eaten before encountering the first fragments :

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The answer to this one is<em> xy + 4</em>
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