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3 years ago

a line passes through the point (-9, 1) and had a slope of -2/3. Write an equation in point-slope form for this line

Mathematics

2 answers:

coldgirl [10]3 years ago

7 0

Answer:

y-1=-2/3(x+9)

Step-by-step explanation:

y-1=-2/3(x-(-9))

y-1=-2/3(x+9)

scoundrel [369]3 years ago

6 0

Hello!

To write an equation for this line, you must follow these steps:

1. M= Slope (-2/3)
2. X1= -9
3. Y1= 1
4. First, take the equation y - y1 = m(x - x1)
5. Plug the values into the equation
6. Y - 1 = -2/3(x - (-9))
7. Change the sign
8. Y - 1 = -2/3(x +9)
9. Distribute the -2/3
10. Y - 1 = -2/3x - 6
11. Add 1 to both sides
12. Y = -2/3x - 5

This gives you a final answer of y = -2/3x -5 (note that this equation is in slope intercept form)

Hope this helps!

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Answer:

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3 years ago

The width of a rectangle is (x+1) and the length is (x-6). What is the length and width of the rectangle if the area is 30 squar

jolli1 [7]

Answer:

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) = 10 feet

Step-by-step explanation:

Step(i):-

Given that the width of the rectangle = (x+1) feet

Given that the length of the rectangle = ( x-6) feet

The area of the rectangle = 30 square feet

Step(ii):-

We know that the area of the rectangle

= length ×width

30 = ( x+1)(x-6)

30 = x² - 6x + x -6

⇒ x² - 5 x - 6 = 30

⇒ x² - 5 x - 6 - 30 =0

⇒ x² - 5 x - 36 =0

x² - 9 x +4x - 36 =0

x (x-9) +4 ( x-9) =0

( x+4 ) ( x-9) =0

( x+4 ) =0 and ( x-9) =0

x =-4 and x =9

Step(iii):-

we have to choose x =9

The length of the rectangle (l) = x-6 = 9-6 =3

The width of the rectangle (W) = x+1 = 9 +1 = 10

Final answer:-

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) = 10 feet

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2 years ago

Which function is represented by the values in the table below?

lorasvet [3.4K]

Your answer should be A

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2 years ago

Read 2 more answers

Please dont put any files or links. answer each equation please.

Lynna [10]

Answer:

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2 years ago

What should I buy? A study conducted by a research group in a recent year reported that of cell phone owners used their phones i

Llana [10]

Answer:

The probability that seven or more of them used their phones for guidance on purchasing decisions is 0.7886.

Step-by-step explanation:

The question is incomplete:

What should I buy? A study conducted by a research group in a recent year reported that 57% of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of 14 cell phone owners is studied. Round the answers to at least four decimal places. What is the probability that seven or more of them used their phones for guidance on purchasing decisions?

We can model this as a binomial random variable, with p=0.57 and n=14.

$P(x=k)=\dbinom{n}{k} p^{k}q^{n-k}$

a) We have to calculate the probability that seven or more of them used their phones for guidance on purchasing decisions:

$P(x\geq7)=\sum_{k=7}^{14}P(x=k)\\\\\\$

$P(x=7)=\dbinom{14}{7} p^{7}q^{7}=3432*0.0195*0.0027=0.1824\\\\\\P(x=8) = \dbinom{14}{8} p^{8}q^{6}=3003*0.0111*0.0063=0.2115\\\\\\P(x=9) = \dbinom{14}{9} p^{9}q^{5}=2002*0.0064*0.0147=0.1869\\\\\\P(x=10) = \dbinom{14}{10} p^{10}q^{4}=1001*0.0036*0.0342=0.1239\\\\\\P(x=11) = \dbinom{14}{11} p^{11}q^{3}=364*0.0021*0.0795=0.0597\\\\\\P(x=12) = \dbinom{14}{12} p^{12}q^{2}=91*0.0012*0.1849=0.0198\\\\\\P(x=13) = \dbinom{14}{13} p^{13}q^{1}=14*0.0007*0.43=0.004\\\\\\$

$P(x=14) = \dbinom{14}{14} p^{14}q^{0}=1*0.0004*1=0.0004\\\\\\$

$P(x\geq7)=0.1824+0.2115+0.1869+0.1239+0.0597+0.0198+0.004+0.0004\\\\P(x\geq7)=0.7886$

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2 years ago